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Articles
Walid Hachem, Adrien Hardy, Jamal Najim
Electron. J. Probab. 21, 1-36, (2016) DOI: 10.1214/15-EJP4441
KEYWORDS: large random matrices, Wishart matrix, Pearcey kernel, Bessel kernel, 15A52, 15A18‎, 60F15
Massimiliano Gubinelli, Peter Imkeller, Nicolas Perkowski
Electron. J. Probab. 21, 1-37, (2016) DOI: 10.1214/16-EJP3868
KEYWORDS: Paracontrolled calculus, Schauder functions, Rough paths, stochastic integration, Stochastic differential equations, 60H05, 60H10
Steffen Dereich
Electron. J. Probab. 21, 1-38, (2016) DOI: 10.1214/16-EJP3801
KEYWORDS: Barabási-Albert model, preferential attachment, fitness, Condensation, 05C80, 60C05, 90B15
Daniel Ahlberg, Michael Damron, Vladas Sidoravicius
Electron. J. Probab. 21, 1-19, (2016) DOI: 10.1214/16-EJP4412
KEYWORDS: inhomogeneous growth, shape theorem, columnar defect, 60K35
Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler
Electron. J. Probab. 21, 1-28, (2016) DOI: 10.1214/16-EJP3452
KEYWORDS: Ising model, phase transtion, RSW, Scaling limit, FK random-cluster model, crossing bounds, extremal length, 60, 82
Sascha Bachmann, Giovanni Peccati
Electron. J. Probab. 21, 1-44, (2016) DOI: 10.1214/16-EJP4235
KEYWORDS: concentration of measure, convex distance, Herbst argument, logarithmic Sobolev inequalities, Poisson measure, Random graphs, Stochastic geometry, 60D05, 60G57, 60C05
Ofer Busani
Electron. J. Probab. 21, 1-17, (2016) DOI: 10.1214/16-EJP3802
KEYWORDS: Continuous time random walk, fractional Fokker-Planck equation, Fractional diffusion, 60G50, 60F17, 82C31
Lorenz A. Gilch
Electron. J. Probab. 21, 1-42, (2016) DOI: 10.1214/16-EJP4180
KEYWORDS: Random walks, regular languages, Entropy, analytic, 60J10, 28D20
Nayantara Bhatnagar, Allan Sly, Prasad Tetali
Electron. J. Probab. 21, 1-42, (2016) DOI: 10.1214/16-EJP3552
KEYWORDS: reconstruction, threshold, hardcore model, random regular graph, decay of correlations, Gibbs measure, 60K35
Christel Geiss, Alexander Steinicke
Electron. J. Probab. 21, 1-28, (2016) DOI: 10.1214/16-EJP4140
KEYWORDS: Malliavin calculus for Lévy processes, Lévy driven BSDEs, 60H07, 60G51, 60H10
Igor Kortchemski, Cyril Marzouk
Electron. J. Probab. 21, 1-31, (2016) DOI: 10.1214/16-EJP4559
KEYWORDS: noncrossing trees, Simply generated trees, geodesic laminations, 05C80, 60C05, 05C05, 60J80
Vlad Bally, Clément Rey
Electron. J. Probab. 21, 1-44, (2016) DOI: 10.1214/16-EJP4079
KEYWORDS: Approximation schemes, Markov processes, total variation distance, Invariance principles, Malliavin calculus, 60F17, 60H07, 65C40
Lorenzo Taggi
Electron. J. Probab. 21, 1-15, (2016) DOI: 10.1214/16-EJP4275
KEYWORDS: Interacting particles, Activated random walk, lattice gasses, Abelian networks, 60K35, 82C22
Sebastian Engelke, Jevgenijs Ivanovs
Electron. J. Probab. 21, 1-19, (2016) DOI: 10.1214/16-EJP1112
KEYWORDS: conditionally positive process, Itô’s excursion theory, mixed moving maxima representation, stationary particle system, Kuznetsov measure, 60G51, 60G70
Chinmoy Bhattacharjee, Larry Goldstein
Electron. J. Probab. 21, 1-30, (2016) DOI: 10.1214/16-EJP4299
KEYWORDS: strong approximation, coupling, zero bias, exchangeability, 60F05, 60F17, 60G09
Sung Won Ahn, Jonathon Peterson
Electron. J. Probab. 21, 1-27, (2016) DOI: 10.1214/16-EJP4529
KEYWORDS: Random walk in random environment, large deviations, quenched, 60K37, 60F10, 60J15
Stephen Evilsizor, Nicolas Lanchier
Electron. J. Probab. 21, 1-29, (2016) DOI: 10.1214/16-EJP4380
KEYWORDS: interacting particle systems, Evolutionary game theory, evolutionary stable strategy, death-birth updating process, Replicator equation, prisoner’s dilemma, cooperation, 60K35, 91A22
Nils Berglund, Christian Kuehn
Electron. J. Probab. 21, 1-48, (2016) DOI: 10.1214/16-EJP4371
KEYWORDS: Stochastic partial differential equations, Parabolic equations, reaction–diffusion equations, FitzHugh–Nagumo equation, Regularity structures, renormalisation, 60H15, 35K57, 81S20, 82C28
Amine Asselah, Emilio N.M. Cirillo, Benedetto Scoppola, Elisabetta Scoppola
Electron. J. Probab. 21, 1-29, (2016) DOI: 10.1214/16-EJP4310
KEYWORDS: Diffusion limited aggregation, Cluster growth, Random walk, 60K35, 82B24, 60J45
Iosif Pinelis
Electron. J. Probab. 21, 1-19, (2016) DOI: 10.1214/16-EJP4474
KEYWORDS: Probability inequalities, sums of random variables, submartingales, Martingales, Upper bounds, Generalized moments, 60E15, 60G42, 60G48
Elchanan Mossel, Joe Neeman, Allan Sly
Electron. J. Probab. 21, 1-24, (2016) DOI: 10.1214/16-EJP4185
KEYWORDS: Stochastic block model, planted partition model, consistency, threshold, phase transition, Community detection, random network, 05C80
Dario Trevisan
Electron. J. Probab. 21, 1-41, (2016) DOI: 10.1214/16-EJP4453
KEYWORDS: Fokker-Planck equations, Martingale problem, DiPerna-Lions flows, 60J60, 35Q84
Andreas E. Kyprianou
Electron. J. Probab. 21, 1-28, (2016) DOI: 10.1214/16-EJP4506
KEYWORDS: Stable process, Wiener–Hopf factorisation, Self-similar processes, Markov additive processes, 60G52, 60G18, 60G51
Antonio Auffinger, Si Tang
Electron. J. Probab. 21, 1-23, (2016) DOI: 10.1214/16-EJP1
KEYWORDS: first passage percolation, Time constant, limit shape, Eden model, 60K35, 82B43
Christian Webb
Electron. J. Probab. 21, 1-16, (2016) DOI: 10.1214/16-EJP4535
KEYWORDS: the circular $\beta $ ensemble, linear statistics, Stein’s method, circular Dyson Brownian motion, 15B52, 60F05
Benedetta Ferrario
Electron. J. Probab. 21, 1-22, (2016) DOI: 10.1214/16-EJP4607
KEYWORDS: hyperviscous fluids, well-posedness, Girsanov formula, 76M35, 60H15, 35Q30
Margherita Disertori, Franz Merkl, Silke W.W. Rolles
Electron. J. Probab. 21, 1-16, (2016) DOI: 10.1214/16-EJP4340
KEYWORDS: nonlinear sigma model, Localization, Random spanning trees, 60G60, 82B20, 82B44
Michel Pain
Electron. J. Probab. 21, 1-28, (2016) DOI: 10.1214/16-EJP4639
KEYWORDS: Branching Brownian motion, selection, F-KPP equation, 60J80, 60K35, 60J70
Pietro Caputo, Fabio Martinelli, Alistair Sinclair, Alexandre Stauffer
Electron. J. Probab. 21, 1-22, (2016) DOI: 10.1214/16-EJP4321
KEYWORDS: lattice triangulation, Glauber dynamics, Mixing times, 60K35
Jeff Lin
Electron. J. Probab. 21, 1-26, (2016) DOI: 10.1214/16-EJP4403
KEYWORDS: Exchangeable, Moment problems, uniqueness, 60-02
Jean-Christophe Mourrat, Daniel Valesin
Electron. J. Probab. 21, 1-17, (2016) DOI: 10.1214/16-EJP4476
KEYWORDS: interacting particle systems, contact process, random graph, configuration model, 82C22, 05C80
Fanny Augeri
Electron. J. Probab. 21, 1-49, (2016) DOI: 10.1214/16-EJP4146
KEYWORDS: random matrices, large deviations, 60B20, 60F10
Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik
Electron. J. Probab. 21, 1-21, (2016) DOI: 10.1214/16-EJP4382
KEYWORDS: Random walk, heat kernel, Moser iteration, 39A12, 60J35, 60K37, 82C41
Yuzuru Inahama
Electron. J. Probab. 21, 1-29, (2016) DOI: 10.1214/16-EJP4144
KEYWORDS: rough path theory, Malliavin calculus, fractional Brownian motion, short time asymptotic expansion, 60H07, 60F99, 60G22
Alain-Sol Sznitman
Electron. J. Probab. 21, 1-26, (2016) DOI: 10.1214/16-EJP4563
KEYWORDS: Gaussian free field, Random interlacements, coupling, Level-set percolation, 60K35, 60G15, 60J27, 60J80, 82B43
Bruno Bouchard, Dylan Possamaï, Xiaolu Tan
Electron. J. Probab. 21, 1-21, (2016) DOI: 10.1214/16-EJP4527
KEYWORDS: Doob-Meyer decomposition, non-linear expectations, Backward stochastic differential equations, 60H99
Yuri Bakhtin
Electron. J. Probab. 21, 1-50, (2016) DOI: 10.1214/16-EJP4413
KEYWORDS: SPDE, Burgers equation, Last passage percolation, invariant distributions, Busemann functions, One Force – One Solution Principle, 37L40, 37L55, 35R60, 37H99, 60K35, 60G55
Matthias Birkner, Jiří Černý, Andrej Depperschmidt
Electron. J. Probab. 21, 1-43, (2016) DOI: 10.1214/16-EJP4666
KEYWORDS: Random walk, Dynamical random environment, Oriented percolation, supercritical cluster, central limit theorem in random environment, logistic branching random walk, 60K37, 60J10, 82B43, 60K35
Dmitry Dolgopyat
Electron. J. Probab. 21, 1-15, (2016) DOI: 10.1214/16-EJP4232
KEYWORDS: local limit theorem, Characteristic function, lattice distribution, concentration inequality, 60F05, 60B15
Sumit Mukherjee
Electron. J. Probab. 21, 1-18, (2016) DOI: 10.1214/16-EJP4622
KEYWORDS: combinatorial probability, Mallows model, permutation limit, Fixed points, Cycle structure, 05A05, 60C05, 60F05
Samuel Drapeau, Christoph Mainberger
Electron. J. Probab. 21, 1-15, (2016) DOI: 10.1214/16-EJP4276
KEYWORDS: Supersolutions of backward stochastic differential equations, stability, FBSDEs, Markov property, viscosity supersolutions, 60H10, 60H30, 35D40
Louigi Addario-Berry, Roberto I. Oliveira, Yuval Peres, Perla Sousi
Electron. J. Probab. 21, 1-19, (2016) DOI: 10.1214/16-EJP4414
KEYWORDS: transitive Markov chains, mixing time, hitting times, meeting times, martingale, 60J10
Olivier Durieu, Yizao Wang
Electron. J. Probab. 21, 1-23, (2016) DOI: 10.1214/16-EJP4492
KEYWORDS: infinite urn scheme, regular variation, functional central limit theorem, self-similar process, fractional Brownian motion, bi-fractional Brownian motion, Decomposition, symmetrization, 60F17, 60G22, 60G15, 60G18
Jonathan Hermon, Hubert Lacoin, Yuval Peres
Electron. J. Probab. 21, 1-36, (2016) DOI: 10.1214/16-EJP4687
KEYWORDS: Markov chains, mixing time, Cutoff, counter example, 60J10
Malin Palö Forsström
Electron. J. Probab. 21, 1-22, (2016) DOI: 10.1214/16-EJP4092
KEYWORDS: exclusion sensitivity, Noise sensitivity, Exclusion process, 60J27, 05C81
Ross G. Pinsky
Electron. J. Probab. 21, 1-24, (2016) DOI: 10.1214/16-EJP4355
KEYWORDS: transience, recurrence, diffusion, time-dependent region, reflection, positive recurrence, Growth rate, 60J60
Sabine Jansen
Electron. J. Probab. 21, 1-22, (2016) DOI: 10.1214/16-EJP4175
KEYWORDS: continuum percolation, Stochastic geometry, Point processes, large deviations, Gibbs measures, Gibbs variational principle, 60D05, 60K35, 82C43
Erik J. Baurdoux, Andreas E. Kyprianou, Curdin Ott
Electron. J. Probab. 21, 1-24, (2016) DOI: 10.1214/16-EJP4280
KEYWORDS: optimal prediction, positive self-similar Markov processes, Optimal stopping, 60G40, 60G51, 60J75
Philippe Carmona, Nicolas Pétrélis
Electron. J. Probab. 21, 1-52, (2016) DOI: 10.1214/16-EJP4618
KEYWORDS: Polymer collapse, phase transition, Brownian area, large deviations, 60K35, 82B26, 82B41, 60F10
Aukosh Jagannath
Electron. J. Probab. 21, 1-16, (2016) DOI: 10.1214/16-EJP3
KEYWORDS: Branching random walk, Ghirlanda-Guerra identities, Spin glasses, 60K35, 82B44, 82D30, 82D60
Mir-Omid Haji-Mirsadeghi, Ali Khezeli
Electron. J. Probab. 21, 1-25, (2016) DOI: 10.1214/16-EJP4237
KEYWORDS: Stationary random measure, Palm distribution, mass transport, Allocation, Stable matching, capacity constrained transport kernel, Voronoi transport kernel, Shift-coupling, 60G57, 60G55, 60G10
Catherine Donati-Martin, Alain Rouault
Electron. J. Probab. 21, 1-17, (2016) DOI: 10.1214/16-EJP4
KEYWORDS: beta-ensembles, Spectral distribution, top eigenvalue, large deviations, 15B52, 60G57, 60F10
Nicolas Champagnat, Benoît Henry
Electron. J. Probab. 21, 1-34, (2016) DOI: 10.1214/16-EJP4577
KEYWORDS: branching process, Coalescent point process, Splitting tree, Crump–Mode–Jagers process, linear birth–death process, allelic partition, frequency spectrum, infinite alleles model, Lévy process, scale function, random measure, Palm measure, Campbell’s formula, 60J80, 92D10, 60J85, 60G51, 60G57, 60F15
Daphné Dieuleveut
Electron. J. Probab. 21, 1-44, (2016) DOI: 10.1214/16-EJP4730
KEYWORDS: uniform infinite quadrangulation of the plane, Local limit, geodesic ray, 60C05
Matías Carrasco Piaggio, Pablo Lessa
Electron. J. Probab. 21, 1-24, (2016) DOI: 10.1214/16-EJP4650
KEYWORDS: stationary graphs, Liouville property, Delaunay graphs, random triangulations, 05C80, 28D20, 60B05
Spencer Frei, Edwin Perkins
Electron. J. Probab. 21, 1-22, (2016) DOI: 10.1214/16-EJP6
KEYWORDS: long range bond percolation, critical probability, SIR epidemic, 60K35, 60J68, 60J80, 92D30
Erik Duse, Kurt Johansson, Anthony Metcalfe
Electron. J. Probab. 21, 1-50, (2016) DOI: 10.1214/16-EJP2
KEYWORDS: discrete interlacing systems, random tiling process, Scaling limit, new determinantal point process, 60B20
Andreas Greven, Rongfeng Sun, Anita Winter
Electron. J. Probab. 21, 1-64, (2016) DOI: 10.1214/16-EJP4514
KEYWORDS: Brownian web, continuum-sites stepping stone model, evolving genealogies, interacting Fleming-Viot process, marked metric measure space, Martingale problems, negative correlation inequalities, spatial continuum limit, 60K35, 60J65, 60J70, 92D25
Mark Veraar, Ivan Yaroslavtsev
Electron. J. Probab. 21, 1-53, (2016) DOI: 10.1214/16-EJP7
KEYWORDS: cylindrical martingale, Quadratic Variation, continuous local martingale, Stochastic integration in Banach spaces, UMD Banach spaces, Burkholder-Davis-Gundy, Random time change, $\gamma$-radonifying operators, Inequalities‎, Itô formula, stochastic evolution equation, Stochastic convolution, functional calculus, 60H05, 60B11, 60G44, 47D06
Lucie Fajfrová, Thierry Gobron, Ellen Saada
Electron. J. Probab. 21, 1-52, (2016) DOI: 10.1214/16-EJP4399
KEYWORDS: interacting particle systems, multiple jumps, product invariant measures, Attractiveness, Zero-range process, misanthropes process, target process, mass migration process, Condensation, 60K35, 82C22
Andreas Greven, Peter Pfaffelhuber, Cornelia Pokalyuk, Anton Wakolbinger
Electron. J. Probab. 21, 1-42, (2016) DOI: 10.1214/16-EJP3355
KEYWORDS: interacting Wright–Fisher diffusions, ancestral selection graph, branching process approximation, 92D15, 60J80, 60J85, 92D10
Stefan Adams, Alexander Kister, Hendrik Weber
Electron. J. Probab. 21, 1-36, (2016) DOI: 10.1214/16-EJP8
KEYWORDS: large deviation, Laplacian models, Pinning, Integrated random walk, scaling limits, bi-harmonic, 60K35, 60F10, 82B41
Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych
Electron. J. Probab. 21, 1-19, (2016) DOI: 10.1214/16-EJP9
KEYWORDS: random trigonometric polynomials, real zeros, local universality, Stationary processes, random analytic functions, Functional limit theorem, Stable processes, 26C10, 30C15, 42A05, 60F17, 60G55
Roxana Dumitrescu, Marie-Claire Quenez, Agnès Sulem
Electron. J. Probab. 21, 1-32, (2016) DOI: 10.1214/16-EJP4568
KEYWORDS: Dynkin game, mixed game problem, nonlinear expectation, $g$-evaluation, doubly reflected BSDEs, partial integro-differential variational inequalities, Game option, 93E20, 60J60, 47N10‎
Michael Damron, Xuan Wang
Electron. J. Probab. 21, 1-23, (2016) DOI: 10.1214/16-EJP12
KEYWORDS: Euclidean first-passage percolation, nonrandom fluctuations, rate of convergence, 60K35, 82B43
Kenneth S. Alexander, Quentin Berger
Electron. J. Probab. 21, 1-18, (2016) DOI: 10.1214/16-EJP13
KEYWORDS: local limit theorem, local large deviation, Renewal theorem, reverse renewal theorems, slowly varying tail distribution, i.i.d. sums, 60K05, 60G50, 60F10
János Engländer, Liang Zhang
Electron. J. Probab. 21, 1-25, (2016) DOI: 10.1214/16-EJP4782
KEYWORDS: Spatial branching process, branching Ornstein-Uhlenbeck process, branching diffusion, interaction, Center of mass, most recent common ancestor, $\Delta $-transform, Strong Law of Large Numbers, local extinction, 60J60, 60J80
Kenneth S. Alexander, Quentin Berger
Electron. J. Probab. 21, 1-20, (2016) DOI: 10.1214/16-EJP17
KEYWORDS: Intersection of renewal processes, regular variations, local asymptotics, reverse renewal theorem, coupling, 60K05, 60G50
Oriane Blondel, Patrícia Gonçalves, Marielle Simon
Electron. J. Probab. 21, 1-25, (2016) DOI: 10.1214/16-EJP15
KEYWORDS: porous medium equation, microscopic model, Degenerate rates, density fluctuations, Stochastic Burgers equation, weak KPZ universality, 60K35, 60G60, 60F17, 35R60
Elena Kosygina, Jonathon Peterson
Electron. J. Probab. 21, 1-24, (2016) DOI: 10.1214/16-EJP14
KEYWORDS: excited random walk, periodic cookie stacks, Brownian motion perturbed at its extrema, Branching-like processes, 60K35, 60F17, 60J15
Stein Andreas Bethuelsen, Florian Völlering
Electron. J. Probab. 21, 1-32, (2016) DOI: 10.1214/16-EJP10
KEYWORDS: Random walk, Dynamic random environment, Absolute continuity, stability, central limit theorem, Hidden Markov models, disagreement percolation, 82C41, 82C43, 60F17, 60K37
Anastasios Matzavinos, Alexander Roitershtein, Youngsoo Seol
Electron. J. Probab. 21, 1-20, (2016) DOI: 10.1214/16-EJP16
KEYWORDS: RWRE, sparse environment, limit theorems, Sinai’s walk, Primary 60K37, secondary 60F05
Raphaël Butez
Electron. J. Probab. 21, 1-37, (2016) DOI: 10.1214/16-EJP5
KEYWORDS: random polynomials, large deviations, Coulomb gases, 60F10
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