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Articles
Yuan Liu
Electron. J. Probab. 25, 1-16, (2020) DOI: 10.1214/19-EJP403
KEYWORDS: Poincaré inequality, transportation-variance inequality, quadratic Wasserstein distance, quadratic transportation-information inequality, 26D10, 60E15, 60J60
Carlo Bellingeri
Electron. J. Probab. 25, 1-52, (2020) DOI: 10.1214/19-EJP404
KEYWORDS: Stochastic partial differential equations, Itô formula, Malliavin calculus, Regularity structures, 60H15
János Engländer, Stanislav Volkov, Zhenhua Wang
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/19-EJP406
KEYWORDS: coin-turning, Random walk, Scaling limit, time-inhomogeneous Markov-process, invariance principle, cooling dynamics, heating dynamics, zigzag process, 60G50, 60F05, 60J10
Rick Durrett, Dong Yao
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/19-EJP402
KEYWORDS: symbiotic contact process, block construction, 60K35
Weicong Su
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/20-EJP415
KEYWORDS: Stochastic partial differential equations, spheres, 35R60, 60H15, 60G15
Laurent Miclo
Electron. J. Probab. 25, 1-64, (2020) DOI: 10.1214/20-EJP419
KEYWORDS: Markov intertwining relations, measure-valued dual processes, set-valued dual processes, Diaconis-Fill couplings, Random mappings, coalescing stochastic flows, Pitman’s theorem, one-dimensional diffusions, 60J10, 37A25, 60J05, 60J25, 60J60, 60G17, 60J65
Yandi Shen, Fang Han, Daniela Witten
Electron. J. Probab. 25, 1-18, (2020) DOI: 10.1214/20-EJP411
KEYWORDS: dependent V-statistics, strong mixing condition, kernel expansion, random Fourier features, 60F10
Yinon Spinka
Electron. J. Probab. 25, 1-27, (2020) DOI: 10.1214/20-EJP420
KEYWORDS: Ising model, finitary coding, finite expected coding volume, 28D99, 60K35, 82B20, 82B26, 37A60
Michael D. Perlman
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/20-EJP418
KEYWORDS: permutations, uniform distribution, spherical cap discrepancy, largest empty cap, regular configuration, regular permutohedron, $L$-minimal configuration, $L$-minimal permutohedron, normal configuration, normal permutohedron, majorization, spherical code, permutation code, 11K38, 60C05
Umesh Kumar, Markus Riedle
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/19-EJP407
KEYWORDS: cylindrical Lévy process, Cauchy problem, stochastic Fubini theorem, cylindrical infinitely divisible, 60H15, 60G51, 60G20, 60H05
Eleanor Archer
Electron. J. Probab. 25, 1-48, (2020) DOI: 10.1214/20-EJP413
KEYWORDS: random stable looptrees, limit theorem, Spectral dimension, Stable Lévy process, 60F17, 60K37, 54E70, 28A80
Philippe Berthet, Jean Claude Fort
Electron. J. Probab. 25, 1-16, (2020) DOI: 10.1214/19-EJP410
KEYWORDS: Gaussian empirical $c.d.f.$, quadratic Wasserstein distance, central limit theorem, Empirical processes, strong approximation, 62G30, 62G20, 60F05, 60F17
Gideon Amir, Rangel Baldasso
Electron. J. Probab. 25, 1-18, (2020) DOI: 10.1214/20-EJP414
KEYWORDS: Majority dynamics, percolation, 82C43, 82B43, 82C22
Alice Guionnet, Mylène Maïda
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/19-EJP405
KEYWORDS: Random matrix, large deviations, Extreme eigenvalues, Free convolution, 15A52, 60F10, 46L54
Gerardo Barrera, Juan Carlos Pardo
Electron. J. Probab. 25, 1-33, (2020) DOI: 10.1214/20-EJP417
KEYWORDS: cut-off phenomenon, Ornstein-Uhlenbeck processes, Lévy processes, total variation distance, 60G51, 60G60, 60G10, 60E07, 37A25
Franziska Kühn
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/20-EJP424
KEYWORDS: Martingale problem, ‎pseudo-differential operator, Markovian selection, Existence result, discontinuous coefficents, Krylov estimate, jump process, Lévy-driven stochastic differential equation, Harnack inequality, viscosity solution, 60J35, 60J25, 60H10, 60J75, 45K05, 35S05, 60G51
Augustin Moinat, Hendrik Weber
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/19-EJP397
KEYWORDS: reaction-diffusion equation, a priori bounds, non-linear stochastic PDE, maximum principle, 60H15, 35K57, 35B45
Huy Tran, Yizheng Yuan
Electron. J. Probab. 25, 1-18, (2020) DOI: 10.1214/20-EJP425
KEYWORDS: Schramm-Loewner evolution, topological support, Loewner chains, 30C20, 60G17, 60J67, 60K35
Feng-Yu Wang
Electron. J. Probab. 25, 1-27, (2020) DOI: 10.1214/20-EJP426
KEYWORDS: extrinsic derivative, weighted Gamma distribution, Poincaré inequality, Weak Poincaré inequality, Super Poincaré inequality, 60G57, 60G45, 60H99
Matthieu Fradelizi, Jiange Li, Mokshay Madiman
Electron. J. Probab. 25, 1-22, (2020) DOI: 10.1214/20-EJP416
KEYWORDS: Concentration, information content, Entropy, log-concave, convex measures, 60F10, 62B10
Ismaël Bailleul, Rémi Catellier, François Delarue
Electron. J. Probab. 25, 1-51, (2020) DOI: 10.1214/19-EJP409
KEYWORDS: random rough differential equations, controlled paths, mean field interaction, 60H10, 60G99
Yegor Klochkov, Nikita Zhivotovskiy
Electron. J. Probab. 25, 1-30, (2020) DOI: 10.1214/20-EJP422
KEYWORDS: Concentration inequalities, modified logarithmic Sobolev inequalities, uniform Hanson-Wright inequalities, Rademacher chaos, matrix Bernstein inequality, 60F10
Jean-Christophe Mourrat, Dmitry Panchenko
Electron. J. Probab. 25, 1-17, (2020) DOI: 10.1214/20-EJP432
KEYWORDS: Spin glass, Hamilton-Jacobi equation, Parisi formula, 82B44, 82D30
Samuel Drapeau, Peng Luo, Dewen Xiong
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/20-EJP412
KEYWORDS: fully coupled FBSDE, utility portfolio optimization, random endowment, probability and discounting uncertainty, 60H20, 93E20, 91B16, 91G10
Etienne Pardoux
Electron. J. Probab. 25, 1-27, (2020) DOI: 10.1214/20-EJP428
KEYWORDS: extension of an epidemic, central limit theorem, large deviations, Moderate deviations, 60J75, 60F05, 60F10, 92D30
Sayan Banerjee, Amarjit Budhiraja, Michael Perlmutter
Electron. J. Probab. 25, 1-51, (2020) DOI: 10.1214/20-EJP434
KEYWORDS: large deviations, interacting particle systems, Ginzburg-Landau model, Hydrodynamic limits, Variational representations, Laplace principle, Stochastic control, weak convergence method, 60F10, 60K35, 60B05, 82C22, 93E20
Jochen Blath, Adrián González Casanova, Noemi Kurt, Maite Wilke-Berenguer
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/19-EJP401
KEYWORDS: seed banks, dormancy, Coalescent, simultaneous switching, coming down from infinity, 60K35, 92D10
Justin Ko
Electron. J. Probab. 25, 1-34, (2020) DOI: 10.1214/20-EJP431
KEYWORDS: Spin glasses, Free energy, Parisi formula, spherical models, 60F10, 60G15, 60K35, 82B44
Alan Hammond, Sourav Sarkar
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/20-EJP430
KEYWORDS: Poissonian last passage, modulus of continuity, Fluctuations, weight profile, 82B23, 82C23, 60K35
Quentin Berger, Michele Salvi
Electron. J. Probab. 25, 1-43, (2020) DOI: 10.1214/20-EJP427
KEYWORDS: Random walk, random environment, conductance model, sub-ballisticity, Scaling limit, subordinator, trapping phenomenon, Aging, Localization, 60K37, 60F17, 60G52, 82D30
Andreas Basse-O’Connor, Mark Podolskij, Christoph Thäle
Electron. J. Probab. 25, 1-31, (2020) DOI: 10.1214/20-EJP435
KEYWORDS: central limit theorem, linear fractional stable noise, infinitely divisible processes, Malliavin calculus, moving averages, Normal approximation, Poisson random measures, Stein’s method, 60E07, 60F05, 60G52, 60G57
Antoine Jego
Electron. J. Probab. 25, 1-39, (2020) DOI: 10.1214/20-EJP433
KEYWORDS: Thick points, Local time, Random walk, Gaussian free field, 60J55, 60J65
Tal Orenshtein, Christophe Sabot
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/20-EJP429
KEYWORDS: random walks in random environment, Point of view of the particle, hypergeometric functions, hypergeometric environments, Dirichlet environments, reversibility, one-dependent Markov chains, 60K35, 60K37
Torstein Nilssen
Electron. J. Probab. 25, 1-33, (2020) DOI: 10.1214/20-EJP437
KEYWORDS: Rough paths, stochastic PDEs, Regularization by noise, Local times, fractional Brownian motion, 60H15, 60H10, 60G22, 60H05, 60J55
Konstantinos Dareiotis, Benjamin Gess
Electron. J. Probab. 25, 1-43, (2020) DOI: 10.1214/20-EJP436
KEYWORDS: Degenerate SPDEs, Quasilinear SPDEs, entropy solutions, 60H15, 35K65, 35K59
Christian A. Fonseca-Mora
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/20-EJP444
KEYWORDS: cylindrical semimartingales, Semimartingales, dual of a nuclear space, regularization theorem, semimartingale canonical representation, Lévy processes, 60B11, 60G17, 60G20, 60G48
Anita Behme, Apostolos Sideris
Electron. J. Probab. 25, 1-25, (2020) DOI: 10.1214/20-EJP441
KEYWORDS: exponential functional, Lévy process, Markov additive process, Markov modulated perpetuity, Markov switching model, 60H10, 60J75, 60G51, 60J25
Khoa Lê
Electron. J. Probab. 25, 1-55, (2020) DOI: 10.1214/20-EJP442
KEYWORDS: sewing lemma, Doob-Meyer decomposition, Rough paths, Regularization by noise, Stochastic differential equations, fractional Brownian motion, additive functional, chaos expansion, 60H10, 60H05, 60L20
Pierre Perruchaud
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/20-EJP439
KEYWORDS: Diffusion processes, Homogenization‎, Mixing, Rough paths theory, Riemannian manifolds, 58J65, 60H10, 60G51
Robert C. Dalang, Fei Pu
Electron. J. Probab. 25, 1-31, (2020) DOI: 10.1214/20-EJP438
KEYWORDS: hitting probabilities, systems of non-linear stochastic heat equations, spatially homogeneous Gaussian noise, Malliavin calculus, 60H15, 60J45, 60H07, 60G60
Bohdan Kopytko, Roman Shevchuk
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/20-EJP443
KEYWORDS: Parabolic potential, Wentzell boundary condition, Feller semigroup, method of successive approximations, 60J60, 35K20
Eviatar B. Procaccia, Ron Rosenthal, Yuan Zhang
Electron. J. Probab. 25, 1-22, (2020) DOI: 10.1214/20-EJP446
KEYWORDS: Diffusion limited aggregation, stabilization, harmonic measure, Growth model, reflected random walk, Beurling estimate, 60K35, 60K40, 60G50
James B. Martin
Electron. J. Probab. 25, 1-41, (2020) DOI: 10.1214/20-EJP421
KEYWORDS: Asymmetric simple exclusion process, multi-type, matrix product, priority queue, 60K35, 82C22
Sergio Albeverio, Francesco C. De Vecchi, Paola Morando, Stefania Ugolini
Electron. J. Probab. 25, 1-34, (2020) DOI: 10.1214/20-EJP440
KEYWORDS: Lie symmetry analysis, Stochastic differential equations, semimartingales with jumps, stochastic processes on manifolds, 60H10, 60G45, 58D19
Mads Christian Hansen, Wiuf Carsten
Electron. J. Probab. 25, 1-30, (2020) DOI: 10.1214/20-EJP445
KEYWORDS: quasi-stationary distribution, reaction network, continuous time Markov process, 60J27, 60J28, 60B10, 80A30, 92C42, 92E20
Paul Dupuis, Vaios Laschos, Kavita Ramanan
Electron. J. Probab. 25, 1-41, (2020) DOI: 10.1214/20-EJP449
KEYWORDS: Large Deviations Principle, empirical measures, Gibbs distributions, interacting particle systems, singular interaction potential, weakly confining potential, Rate function, weak topology, Wasserstein topology, Relative entropy, Coulomb gases, random matrices, asymptotic thin shell condition., 60F10, 60K35, 60B20
Shankar Bhamidi, Souvik Dhara, Remco van der Hofstad, Sanchayan Sen
Electron. J. Probab. 25, 1-57, (2020) DOI: 10.1214/19-EJP408
KEYWORDS: Critical configuration model, Critical percolation, Gromov-weak convergence, heavy-tailed degrees, multiplicative coalescent, Universality, 60C05, 05C80
David Nualart, Guangqu Zheng
Electron. J. Probab. 25, 1-54, (2020) DOI: 10.1214/20-EJP453
KEYWORDS: Breuer-Major theorem, Malliavin calculus, Stochastic heat equation, Dalang’s condition, Riesz kernel, central limit theorem, 60H15, 60H07, 60G15, 60F05
Marcus Michelen, Josh Rosenberg
Electron. J. Probab. 25, 1-16, (2020) DOI: 10.1214/20-EJP454
KEYWORDS: frog model, non-amenable, interacting random walk, 60K35
Chi Hong Wong, Xue Yang, Jing Zhang
Electron. J. Probab. 25, 1-22, (2020) DOI: 10.1214/20-EJP448
KEYWORDS: stochastic partial integral-differential equations, Non-local operator, fractional Laplacian, forward-backward martingale decomposition, backward doubly stochastic differential equations, 60H15, 60G46, 35R60
Ross A. Maller, David M. Mason
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/20-EJP451
KEYWORDS: Lévy process, passage time distributions, two-sided exit problem, domain of partial attraction, generalised Feller class, stochastic compactness, 62E17, 62B15, 62G05
Serguei Popov, Leonardo T. Rolla, Daniel Ungaretti
Electron. J. Probab. 25, 1-23, (2020) DOI: 10.1214/20-EJP458
KEYWORDS: Simple random walk, Conditioning, transience, Doob’s $h$-transform, 60J10, 60G50, 82C41
Mathew D. Penrose
Electron. J. Probab. 25, 1-40, (2020) DOI: 10.1214/20-EJP447
KEYWORDS: random tessellation, dead leaves model, random measure, central limit theorem, Ornstein-Uhlenbeck process, 60D05, 60G57, 60G55, 60F05, 82C22
Malin P. Forsström, Jeffrey E. Steif
Electron. J. Probab. 25, 1-45, (2020) DOI: 10.1214/20-EJP459
KEYWORDS: divide and color representations, threshold Gaussian vectors, threshold stable vectors, 60G15, 60G52
Erol A. Peköz, Adrian Röllin, Nathan Ross
Electron. J. Probab. 25, 1-22, (2020) DOI: 10.1214/20-EJP461
KEYWORDS: Branching random walk, distributional approximation, exponential distribution, multivariate symmetric Laplace distribution, 60F05, 60J80
Félix Foutel-Rodier, Amaury Lambert, Emmanuel Schertzer
Electron. J. Probab. 25, 1-33, (2020) DOI: 10.1214/20-EJP450
KEYWORDS: Kingman’s coalescent with erosion, fragmentation-coalescence processes, Kingman’s coalescent with immigration, mass-partition, species tree with introgresssion, 60G09, 60G10, 60J25, 60J60, 60J80, 92D15
J. Theodore Cox, Edwin A. Perkins
Electron. J. Probab. 25, 1-56, (2020) DOI: 10.1214/20-EJP452
KEYWORDS: Super-Brownian motion, spatial lambda-Fleming-Viot process, 60J68, 60K35, 92D25
Ibrahim Fatkullin, Sunder Sethuraman, Jianfei Xue
Electron. J. Probab. 25, 1-44, (2020) DOI: 10.1214/20-EJP455
KEYWORDS: Young diagram, Gibbs measure, Interacting particle system, Zero-range, weakly, hydrodynamic, shape, Dynamic, 60K35, 82C22
Joseph Najnudel
Electron. J. Probab. 25, 1-28, (2020) DOI: 10.1214/20-EJP456
KEYWORDS: random multiplicative function, Empirical distribution, limit theorem, Chowla conjecture, 11K65, 11N37, 60F05, 60F15
Riccardo W. Maffucci
Electron. J. Probab. 25, 1-17, (2020) DOI: 10.1214/20-EJP457
KEYWORDS: nodal intersections, arithmetic random waves, lattice points on spheres, Gaussian random fields, Kac-Rice formulas, 11P21, 60G15
Tibor Mach, Anja Sturm, Jan M. Swart
Electron. J. Probab. 25, 1-63, (2020) DOI: 10.1214/20-EJP460
KEYWORDS: Mean-field limit, recursive tree process, recursive distributional equation, endogeny, interacting particle systems, cooperative branching, 82C22, 60J25, 60J80, 60K35
Fabien Panloup, Alexandre Richard
Electron. J. Probab. 25, 1-43, (2020) DOI: 10.1214/20-EJP464
KEYWORDS: Stochastic differential equations, Gaussian processes, fractional Brownian motion, ergodicity, Rate of convergence to equilibrium, 60G15, 60G22, 37A25
Aleksandar Mijatović, Vladislav Vysotsky
Electron. J. Probab. 25, 1-22, (2020) DOI: 10.1214/20-EJP463
KEYWORDS: Random walk, overshoot, Markov chain, stability, Convergence in total variation, 60G50
Paul Thévenin
Electron. J. Probab. 25, 1-25, (2020) DOI: 10.1214/20-EJP465
KEYWORDS: Probability, Random trees, Galton-Watson, vertices degrees, 05C80
Angelo Abächerli, Jiří Černý
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/20-EJP468
KEYWORDS: Level-set percolation, Gaussian free field, regular tree, 60K35, 60G15
Ivan Corwin, Promit Ghosal
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/20-EJP467
KEYWORDS: KPZ equation, KPZ line ensemble, Brownian Gibbs property, 60K35
Jacopo Borga, Mathilde Bouvel, Valentin Féray, Benedikt Stufler
Electron. J. Probab. 25, 1-52, (2020) DOI: 10.1214/20-EJP469
KEYWORDS: permutation patterns, Local and scaling limits, Galton–Watson trees, 60C05, 05A05
Nic Freeman, Jonathan Jordan
Electron. J. Probab. 25, 1-42, (2020) DOI: 10.1214/20-EJP462
KEYWORDS: preferential attachment, Condensation, fitness, random graph, 05C80, 60J85
Francesco Grotto
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/20-EJP474
KEYWORDS: point vortices, invariant measure, Euler equations, 35Q35, 35R60, 60G10, 60H15, 76B03, 76M35
Akihito Hora
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/20-EJP466
KEYWORDS: random Young diagram, dynamical limit shape, pausing time distribution, Free probability, representation of symmetric group, 82C41, 46L54, 20C30, 60J27
Nina Gantert, Dominik Schmid
Electron. J. Probab. 25, 1-27, (2020) DOI: 10.1214/20-EJP477
KEYWORDS: Exclusion process, Galton–Watson trees, Tagged particle, ergodicity, 60K35, 60K37
Philip Cohen, Fabio Deelan Cunden, Neil O’Connell
Electron. J. Probab. 25, 1-19, (2020) DOI: 10.1214/20-EJP472
KEYWORDS: random matrices, factorial moments, Charlier, Meixner and Krawtchouk polynomials, hypergeometric functions, 60B20, 33C45
Julia Gaudio, Yury Polyanskiy
Electron. J. Probab. 25, 1-31, (2020) DOI: 10.1214/20-EJP471
KEYWORDS: Markov chains, Potts model, interacting particle systems, 60J10
Vlad Bally, Lucia Caramellino, Guillaume Poly
Electron. J. Probab. 25, 1-20, (2020) DOI: 10.1214/20-EJP481
KEYWORDS: abstract Malliavin calculus, regularization techniques, total variation distance, Wasserstein distance, 60B110, 60H07
Jean-Dominique Deuschel, Ryoki Fukushima
Electron. J. Probab. 25, 1-28, (2020) DOI: 10.1214/20-EJP478
KEYWORDS: Random walk, Random scenery, Spectral dimension, Random conductance model, layered media, 60K37, 60F10, 60J55
Vincent Lerouvillois
Electron. J. Probab. 25, 1-35, (2020) DOI: 10.1214/20-EJP473
KEYWORDS: Interface growth, Hydrodynamic limit, anisotropic KPZ, 60J25, 60K35, 82C24
Xiangying Huang
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/20-EJP483
KEYWORDS: Galton-Watson trees, periodic trees, CMJ branching process, 60K35
Pablo A. Ferrari, Davide Gabrielli
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/20-EJP475
KEYWORDS: Box-Ball System, soliton components, conservative cellular automata, 37B15, 37K40, 60C05
Chinmoy Bhattacharjee, Ilya Molchanov
Electron. J. Probab. 25, 1-20, (2020) DOI: 10.1214/20-EJP482
KEYWORDS: Poisson processes, vague convergence, scale invariance, Random measures, Dickman distributions, 60G55, 11K99, 60F05, 60G57
Amitai Linker, Daniel Remenik
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/20-EJP480
KEYWORDS: contact process, random environment, Dynamical percolation, 60K35, 60K37
Maren Eckhoff, Jesse Goodman, Remco van der Hofstad, Francesca R. Nardi
Electron. J. Probab. 25, 1-45, (2020) DOI: 10.1214/20-EJP484
KEYWORDS: first passage percolation, Invasion percolation, Random graphs, 60K35, 60J80, 60G55
Konstantinos Dareiotis, Máté Gerencsér
Electron. J. Probab. 25, 1-18, (2020) DOI: 10.1214/20-EJP479
KEYWORDS: Stochastic differential equations, Euler-Maruyama scheme, quadrature estimates, 60H35, 60H10, 65C30
Alex Karrila
Electron. J. Probab. 25, 1-37, (2020) DOI: 10.1214/20-EJP485
KEYWORDS: uniform spanning tree (UST), scaling limits, Schramm–Loewner evolutions (SLEs), multiple SLEs, 60Dxx, 82B20, 82B27, 60J67, 60G42, 39A12
Lu Xu
Electron. J. Probab. 25, 1-40, (2020) DOI: 10.1214/20-EJP488
KEYWORDS: non-equilibrium fluctuation, hyperbolic scaling limit, Boltzmann–Gibbs principle, Relative entropy, 60K35, 82C05, 82C22
Timo Seppäläinen, Xiao Shen
Electron. J. Probab. 25, 1-31, (2020) DOI: 10.1214/20-EJP489
KEYWORDS: coalescence exit time, fluctuation exponent, Geodesic, Last-passage percolation, Kardar-Parisi-Zhang, random growth model, 60K35, 60K37
Satoshi Ishiwata, Hiroshi Kawabi, Ryuya Namba
Electron. J. Probab. 25, 1-46, (2020) DOI: 10.1214/20-EJP486
KEYWORDS: central limit theorem, non-symmetric random walk, nilpotent covering graph, discrete geometric analysis, modified harmonic realization, Albanese metric, rough path theory, 60F17, 60G50, 60J10, 22E25
Gregory F. Lawler
Electron. J. Probab. 25, 1-42, (2020) DOI: 10.1214/20-EJP476
KEYWORDS: Loop-erased random walk, loop measures, 60K35
Michel Benaïm, Charles-Edouard Bréhier, Pierre Monmarché
Electron. J. Probab. 25, 1-28, (2020) DOI: 10.1214/20-EJP490
KEYWORDS: adaptive biasing, Self-interacting diffusions, free energy computation, 60J60, 65C50
Paul Chleboun, Aaron Smith
Electron. J. Probab. 25, 1-53, (2020) DOI: 10.1214/20-EJP487
KEYWORDS: Markov chain, mixing time, spectral gap, plaquette model, Glass transition, 60J27, 60J28
Antoine Diez
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/20-EJP496
KEYWORDS: collective motion, Mean-field limit, Vicsek model, run and tumble, jump process, 35Q70, 58J6, 60J75, 60J25, 60K35, 82C22
A.D. Barbour, Nathan Ross, Yuting Wen
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/20-EJP493
KEYWORDS: Moment inequalities, Concentration inequalities, Stein’s method, Erdős–Rényi random graph, 60E15, 60C05
James Allen Fill, Daniel Q. Naiman
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/20-EJP492
KEYWORDS: Multivariate records, Pareto records, record-setting region, width of frontier, current records, broken records, Maxima, Extreme value theory, boundary-crossing probabilities, Time change, 60D05, 60F05, 60F15, 60G70, 60G17
Dmitry Beliaev, Michael McAuley, Stephen Muirhead
Electron. J. Probab. 25, 1-37, (2020) DOI: 10.1214/20-EJP470
KEYWORDS: Gaussian fields, nodal set, Level sets, critical points, 60G60, 60G15, 58K05
Daniel Bartl, Ludovic Tangpi
Electron. J. Probab. 25, 1-22, (2020) DOI: 10.1214/20-EJP495
KEYWORDS: quadratic transportation inequality, Optimal stopping, backward stochastic differential equation, Stochastic differential equation, non-smooth coefficients, concentration of measures, logarithmic-Sobolev inequality, 60J60, 60G40, 28C20, 60E15, 60H20, 91G10
Jan Kallsen, Paul Krühner
Electron. J. Probab. 25, 1-33, (2020) DOI: 10.1214/20-EJP494
KEYWORDS: symbol, Martingale problem, uniqueness, polynomial process, Markov process, ‎pseudo-differential operator, Jump processes, 47G30, 60J35, 60J75
Jorge I. González Cázares, Aleksandar Mijatović, Gerónimo Uribe Bravo
Electron. J. Probab. 25, 1-33, (2020) DOI: 10.1214/20-EJP503
KEYWORDS: simulation, Stable process, stable meanders, convex minorant, 60G17, 60G51, 65C05, 65C50
Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada, Robert Neel, Anton Thalmaier
Electron. J. Probab. 25, 1-17, (2020) DOI: 10.1214/20-EJP501
KEYWORDS: sub-Riemannian Brownian motion, radial process, stochastic completeness, sub-Laplacian comparison theorem, Sasakian manifold, H-type group, Riemannian foliation, 53C17, 35H20, 58J65
Christophe Garban, Hugo Vanneuville
Electron. J. Probab. 25, 1-20, (2020) DOI: 10.1214/20-EJP491
KEYWORDS: percolation, Noise sensitivity, Gaussian fields, randomized algorithms, 60K35, 60G15
Yiqing Lin, Zhenjie Ren, Nizar Touzi, Junjian Yang
Electron. J. Probab. 25, 1-43, (2020) DOI: 10.1214/20-EJP498
KEYWORDS: Backward SDE, second order backward SDE, quasi-sure stochastic analysis, random horizon, 60H10, 60H30
Sean O’Rourke, Noah Williams
Electron. J. Probab. 25, 1-68, (2020) DOI: 10.1214/20-EJP499
KEYWORDS: random polynomials, critical points, i.i.d. zeros, pairing between roots and critical points, Wasserstein distance, random Jordan curves, fluctuations of critical points, Local law, 30C15, 60F05, 60B10
Martin Hutzenthaler, Arnulf Jentzen, von Wurstemberger Wurstemberger
Electron. J. Probab. 25, 1-73, (2020) DOI: 10.1214/20-EJP423
KEYWORDS: curse of dimensionality, high-dimensional PDEs, Semilinear PDEs, semilinear KolmogorovPDEs, multilevel Picard method, 60H35
Morris Ang, Minjae Park, Yilin Wang
Electron. J. Probab. 25, 1-13, (2020) DOI: 10.1214/20-EJP502
KEYWORDS: Schramm-Loewner Evolutions, large deviations, Brownian occupation measure, Loewner-Kufarev equation, 60J67, 60F10
James Bell
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/20-EJP500
KEYWORDS: stochastic flow, distrubance flow, Arratia flow, dual flow, time-reversed flow, Coalescing flow, 60F17
Benedikt Stufler
Electron. J. Probab. 25, 1-62, (2020) DOI: 10.1214/20-EJP506
KEYWORDS: Random trees, condensation phenomena, limits of graph parameters, 60J80, 60F17, 05C80, 05C0
Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych, Vladislav Vysotsky
Electron. J. Probab. 25, 1-22, (2020) DOI: 10.1214/20-EJP497
KEYWORDS: convex minorant, random permutation, Random walk, 60F05, 60G55, 60J10
Jieliang Hong
Electron. J. Probab. 25, 1-66, (2020) DOI: 10.1214/20-EJP507
KEYWORDS: Super-Brownian motion, Local time, Exit measure, boundary local time measure, 60G57, 60J68, 60H30, 35J75, 60J80
Jean-Marc Azaïs, José R. León
Electron. J. Probab. 25, 1-15, (2020) DOI: 10.1214/20-EJP508
KEYWORDS: Level sets, Kac-Rice formula, moments, Random fields, 60G15, 60G60
Thomas Gerard
Electron. J. Probab. 25, 1-45, (2020) DOI: 10.1214/20-EJP510
KEYWORDS: Reinforced processes, Markov processes in random environment, Martin boundary, 60J75, 60K37, 31C35
Chin Hang Lun, Jon Warren
Electron. J. Probab. 25, 1-41, (2020) DOI: 10.1214/20-EJP511
KEYWORDS: KPZ equation, Stochastic heat equation, integrable probability, 60K35
Roberto I. Oliveira, Guilherme H. Reis, Lucas M. Stolerman
Electron. J. Probab. 25, 1-35, (2020) DOI: 10.1214/20-EJP505
KEYWORDS: Interacting particle system, local weak limit, Strong law of large numbers, 60F15, 60K35, 60K37, 05C80
Carlo Orrieri
Electron. J. Probab. 25, 1-44, (2020) DOI: 10.1214/20-EJP516
KEYWORDS: large deviations, interacting particle systems, stochastic currents, $\Gamma $-convergence, 60F10, 60K35, 60H10, 49N99
Peng Luo
Electron. J. Probab. 25, 1-23, (2020) DOI: 10.1214/20-EJP504
KEYWORDS: BSDEs, triangularly quadratic generators, BMO martingales, path dependence, 60H10, 60H30
Krzysztof Bisewski, Jevgenijs Ivanovs
Electron. J. Probab. 25, 1-33, (2020) DOI: 10.1214/20-EJP513
KEYWORDS: scaling limits, small-time behavior, high frequency, discretization error, supremum, 60G51, 60F99
Leonid Petrov
Electron. J. Probab. 25, 1-25, (2020) DOI: 10.1214/20-EJP517
KEYWORDS: PushTASEP, Schur process, limit shape, Tracy-Widom distribution, 82C22, 60C05
Lotfi Boudabsa, Thomas Simon, Pierre Vallois
Electron. J. Probab. 25, 1-20, (2020) DOI: 10.1214/20-EJP520
KEYWORDS: double Gamma function, extreme distribution, fractional differential equation, Kilbas-Saigo function, Le Roy function, stable subordinator, 26A33, 33E12, 45E10, 60E05, 60G52
Will FitzGerald, Roger Tribe, Oleg Zaboronski
Electron. J. Probab. 25, 1-15, (2020) DOI: 10.1214/20-EJP512
KEYWORDS: Pfaffian point processes, Szego’s theorem, Ginibre ensemble, annihilating Brownian motions, 60B20, 82C22
Anna Talarczyk, Łukasz Treszczotko
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/20-EJP509
KEYWORDS: Trawl processes, Lévy bases, Stable processes, Self-similar processes, Lévy processes, limit theorems, fractional Brownian motion, Infinite divisibility, 60G51, 60F17, 60F05, 60G52, 60G18, 60G57
Alessandra Caraceni
Electron. J. Probab. 25, 1-30, (2020) DOI: 10.1214/20-EJP519
KEYWORDS: Markov chain, mixing time, planar maps, edge flips, edge rotations, 60J10
Guillaume Barraquand, Mark Rychnovsky
Electron. J. Probab. 25, 1-52, (2020) DOI: 10.1214/20-EJP515
KEYWORDS: large deviations, interacting particle systems, Bethe ansatz, continuum models, random matrices, 60B20, 60F10, 82B23, 82B21, 82C22
Alison M. Etheridge, Amandine Véber, Feng Yu
Electron. J. Probab. 25, 1-89, (2020) DOI: 10.1214/20-EJP523
KEYWORDS: Generalised Fleming-Viot process, natural selection, limit theorems, Duality, Symmetric stable processes, populationgenetics, 60G57, 60J25, 92D10, 60J75, 60G52
Grégoire Ferré, Gabriel Stoltz
Electron. J. Probab. 25, 1-52, (2020) DOI: 10.1214/20-EJP514
KEYWORDS: large deviations, empirical measures, Diffusion processes, Feynman-Kac, Lyapunov function, 60F10, 60J60, 47D08, 82B31, 82C31
Jingyu Huang, Davar Khoshnevisan
Electron. J. Probab. 25, 1-67, (2020) DOI: 10.1214/20-EJP524
KEYWORDS: passive scalar transport, Kraichnan model, Stochastic partial differential equations, macroscopic multifractals, 60H15, 28A80, 35R60, 60K37
Dariusz Buraczewski, Bohdan Dovgay, Alexander Iksanov
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/20-EJP534
KEYWORDS: Bernoulli sieve, GEM distribution, infinite occupancy, random environment, weak convergence, weighted branching process, 60F05, 60J80, 60C05
Wilfrid S. Kendall
Electron. J. Probab. 25, 1-36, (2020) DOI: 10.1214/20-EJP526
KEYWORDS: abstract scattering representation, critical SIRSN-RRF, Crofton cell, delineated scattering process, Dirichlet forms, dynamical detailed balance, environment viewed from particle, ergodic theorem, fibre process, Kesten-Spitzer-Whitman range theorem, Mecke-Slivnyak theorem, Metropolis-Hastings acceptance ratio, neighbourhood recurrence, Palm conditioning, Poisson line process, RRF (Rayleigh Random Flight), RWRE (Random Walk in a Random Environment), SIRSN (Scale-invariant random spatial network), SIRSN-RRF, 60D05, 60G50, 37A50
Pei-Sen Li, Jian Wang
Electron. J. Probab. 25, 1-25, (2020) DOI: 10.1214/20-EJP528
KEYWORDS: continuous-state nonlinear branching process, exponential ergodicity, coupling, strong ergodicity, 60G51, 60G52, 60J25, 60J75
Pratima Hebbar, Leonid Koralov, James Nolen
Electron. J. Probab. 25, 1-40, (2020) DOI: 10.1214/20-EJP527
KEYWORDS: Branching diffusions, parabolic PDEs, large deviations, Intermittency, 60J80, 60J60, 35K10
Tom Hutchcroft
Electron. J. Probab. 25, 1-27, (2020) DOI: 10.1214/20-EJP525
KEYWORDS: percolation, nonamenable, Critical exponents, 60K35, 60B99
Anastas Baci, Carina Betken, Anna Gusakova, Christoph Thäle
Electron. J. Probab. 25, 1-27, (2020) DOI: 10.1214/20-EJP529
KEYWORDS: Boolean model, concentration inequality, cylindrical integral geometry, intrinsic volume, Poisson cylinder process, Stochastic geometry, 60D05, 60F10, 52A22, 60E15
Thomas Mountford, Maria Eulália Vares, Hao Xue
Electron. J. Probab. 25, 1-44, (2020) DOI: 10.1214/20-EJP533
KEYWORDS: percolation, renormalization argument, Branching random walk, critical scaling, 60H15, 60K35
Angelo Abächerli, Jiří Černý
Electron. J. Probab. 25, 1-39, (2020) DOI: 10.1214/20-EJP532
KEYWORDS: Level-set percolation, Gaussian free field, regular graphs, Expander graphs, 60K35, 60G15, 05C48
Noah Forman
Electron. J. Probab. 25, 1-28, (2020) DOI: 10.1214/20-EJP522
KEYWORDS: real tree, Continuum random tree, exchangeability, Hierarchy, interval partition, 60B05, 60G09, 60C05
Louis H.Y. Chen, Larry Goldstein, Adrian Röllin
Electron. J. Probab. 25, 1-49, (2020) DOI: 10.1214/20-EJP535
KEYWORDS: Kolmogorov distance, Optimal rates, Stein’s method, Erdős-Rényi random graph, Jack measure, 60F05, 05C07, 05C80, 05E10
Noah Forman, Soumik Pal, Douglas Rizzolo, Matthias Winkel
Electron. J. Probab. 25, 1-46, (2020) DOI: 10.1214/20-EJP521
KEYWORDS: interval partition, Excursion theory, branching processes, self-similar diffusion, Aldous diffusion, Ray-Knight theorem, infinitely-many-neutral-alleles model, 60J25, 60J60, 60J80, 60G18, 60G52, 60G55
Richard C. Kraaij
Electron. J. Probab. 25, 1-39, (2020) DOI: 10.1214/20-EJP539
KEYWORDS: non-linear resolvent, Hamilton-Jacobi equations, large deviations, Markov processes, 60F10, 47H20, 60J25, 60J35, 49L25
Marie Albenque, Nina Holden, Xin Sun
Electron. J. Probab. 25, 1-43, (2020) DOI: 10.1214/20-EJP537
KEYWORDS: Triangulation, Scaling limit, Brownian disk, Gromov-Hausdorff-Prokhorov-uniform topology, 60D05, 60F17, 05C80
B. Jourdain, W. Margheriti
Electron. J. Probab. 25, 1-50, (2020) DOI: 10.1214/20-EJP543
KEYWORDS: Convex order, Martingale optimal transport, Wasserstein distance, martingale couplings, 60G42, 60E15, 91G80
Zhen-Qing Chen, Zimo Hao, Xicheng Zhang
Electron. J. Probab. 25, 1-23, (2020) DOI: 10.1214/20-EJP542
KEYWORDS: Hölder regularity, Gradient estimate, Littlewood-Paley’s decomposition, heat kernel, cylindrical Lévy process, 60H10, 60G52
Frank Redig, Ellen Saada, Federico Sau
Electron. J. Probab. 25, 1-47, (2020) DOI: 10.1214/20-EJP536
KEYWORDS: Hydrodynamic limit, symmetric simple exclusion process, dynamic random conductances, arbitrary starting point invariance principle, tightness criterion, 60K35, 60K37, 60J28, 60F17, 82C22
Daehong Kim, Seiichiro Kusuoka
Electron. J. Probab. 25, 1-18, (2020) DOI: 10.1214/20-EJP540
KEYWORDS: direct products of diffusion processes, Dirichlet forms, random environment, recurrence, 60K37, 60J60, 60G60, 31C25
Le Chen, Kunwoo Kim
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/20-EJP541
KEYWORDS: Stochastic heat equation, Parabolic Anderson model, infinite dimensional SDE, spatially homogeneous noise, stochastic comparison principle, moment comparison principle, Slepian’s inequality for SPDEs, rough initial data, 60H15, 60G60, 35R60
Nikolaos Fountoulakis, Joseph Yukich
Electron. J. Probab. 25, 1-51, (2020) DOI: 10.1214/20-EJP531
KEYWORDS: Random geometric graphs, hyperbolic plane, complex networks, central limit theorem, 05C80, 05C12, 05C82
Yuri Bakhtin, Donghyun Seo
Electron. J. Probab. 25, 1-56, (2020) DOI: 10.1214/20-EJP530
KEYWORDS: Directed polymers, Localization, phase transition, Mukherjee-Varadhan topology, 60K37, 82B26, 82B44, 82D60, 60E05
David P. Driver, Michael R. Tehranchi
Electron. J. Probab. 25, 1-15, (2020) DOI: 10.1214/20-EJP548
KEYWORDS: branching process, FKPP equation, Stochastic control, front propagation, 60J80, 93E20, 35B40
Radosław Adamczak
Electron. J. Probab. 25, 1-28, (2020) DOI: 10.1214/20-EJP538
KEYWORDS: multiple stochastic (Wiener-Itô) integrals, polynomial chaos, random multi-linear forms, Poisson process, 60F99, 60H05, 60B11
Eviatar B. Procaccia, Yuan Zhang
Electron. J. Probab. 25, 1-39, (2020) DOI: 10.1214/20-EJP545
KEYWORDS: Random walk, covering, monotonic paths, 60C05, 60G50
Bas Lodewijks, Marcel Ortgiese
Electron. J. Probab. 25, 1-54, (2020) DOI: 10.1214/20-EJP550
KEYWORDS: network models, Preferential attachment model, additive fitness, scale-free property, maximum degree, 05C80, 60G42
John Herman, Ifan Johnston, Lorenzo Toniazzi
Electron. J. Probab. 25, 1-21, (2020) DOI: 10.1214/20-EJP544
KEYWORDS: space-time coupled evolution equation, Feller semigroup, Subordination, exterior boundary conditions, 35R11, 45K05, 35C15, 60H30
Yier Lin
Electron. J. Probab. 25, 1-30, (2020) DOI: 10.1214/20-EJP552
KEYWORDS: stochastic higher spin six vertex model, stochastic telegraph equation, Fusion, functional central limit theorem, 60H15, 82B20
Ronan Herry
Electron. J. Probab. 25, 1-30, (2020) DOI: 10.1214/20-EJP557
KEYWORDS: limit theorems, stable convergence, Malliavin-Stein, Poisson point process, 60F05, 60G55, 60H05, 60H07, 60E10
Solesne Bourguin, Simon Campese
Electron. J. Probab. 25, 1-30, (2020) DOI: 10.1214/20-EJP551
KEYWORDS: Gaussian measures on Hilbert spaces, Dirichlet structures, Stein’s method on Banach spaces, Gaussian approximation, probabilistic metrics, Functional limit theorems, fourth moment conditions, ‎46G12, 46N30, 60B12, 60F17
Rangrang Zhang
Electron. J. Probab. 25, 1-42, (2020) DOI: 10.1214/20-EJP556
KEYWORDS: large deviations, porous media equations, weak convergence approach, Kinetic solution, 60F10, 60H15, 35R60
Sebastian Müller, Gundelinde Maria Wiegel
Electron. J. Probab. 25, 1-30, (2020) DOI: 10.1214/20-EJP558
KEYWORDS: frog model, branching Markov chain, Recurrence and transience, 60K35, 60J10, 60J85
Kohei Uchiyama
Electron. J. Probab. 25, 1-24, (2020) DOI: 10.1214/20-EJP553
KEYWORDS: recurrent random walk, ladder height, potential function, infinite variance, First hitting time, 60G50, 60J45
Amine Asselah, Bruno Schapira
Electron. J. Probab. 25, 1-28, (2020) DOI: 10.1214/20-EJP560
KEYWORDS: Random walk, capacity, ‎range‎, large deviations, Moderate deviations, 60F05, 60G50
S.G. Bobkov, G.P. Chistyakov, F. Götze
Electron. J. Probab. 25, 1-31, (2020) DOI: 10.1214/20-EJP549
KEYWORDS: typical distributions, Normal approximation, central limit theorem, 60E, 60FEJP
Ivan Corwin, Li-Cheng Tsai
Electron. J. Probab. 25, 1-55, (2020) DOI: 10.1214/20-EJP565
KEYWORDS: interacting particle systems, inhomogeneous enviornments, Stochastic partial differential equations, 60K35, 82C22
Marc Arnaudon, Pierre Del Moral
Electron. J. Probab. 25, 1-54, (2020) DOI: 10.1214/20-EJP546
KEYWORDS: Feynman-Kac formulae, interacting particle systems, genealogical trees, ancestral lines, Gibb-Glauber dynamics, propagation of chaos properties, contraction inequalities, Dyson-Phillips expansions, 60K35, 60H35, 37L05, 47D08
Shayan Aziznejad, Julien Fageot
Electron. J. Probab. 25, 1-38, (2020) DOI: 10.1214/20-EJP554
KEYWORDS: Lévy white noise, weighted Besov spaces, Wavelets, moment estimates, generalized random processes, 60G51, ‎42C40, 46E35, 60G20
Martin Larsson, Sara Svaluto-Ferro
Electron. J. Probab. 25, 1-25, (2020) DOI: 10.1214/20-EJP562
KEYWORDS: probability measure valued processes, Martingale problem, Wasserstein spaces, positive maximum principle, McKean–Vlasov equations, 60J60, 60J75, 60G57
Morris Ang, Hugo Falconet, Xin Sun
Electron. J. Probab. 25, 1-50, (2020) DOI: 10.1214/20-EJP564
KEYWORDS: Gaussian free field, Liouville quantum gravity, metric balls, Liouville Brownian motion, Conformal Structure, 60D05
Loïc Chaumont, Marine Marolleau
Electron. J. Probab. 25, 1-26, (2020) DOI: 10.1214/20-EJP547
KEYWORDS: additive Lévy field, multivariate first hitting time, fluctuation theory, Kemperman’s formula, 60G51
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