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Articles
Shuta Nakajima, Makoto Nakashima
Electron. J. Probab. 28, 1-38, (2023) DOI: 10.1214/22-EJP885 Open Access
KEYWORDS: KPZ equation, Stochastic heat equation, Edwards-Wilkinson equation, local limit theorem for polymers, stochastic calculus, 60K37, 60F05, 60G44, 82D60
Federico Bertacco
Electron. J. Probab. 28, 1-36, (2023) DOI: 10.1214/22-EJP893 Open Access
KEYWORDS: Gaussian multiplicative chaos, Multifractal analysis, Liouville Brownian motion, multifractal formalism, 60G57, 60G60, 28A80, 28A78
Christian Houdré, Ümit Işlak
Electron. J. Probab. 28, 1-24, (2023) DOI: 10.1214/22-EJP894 Open Access
KEYWORDS: longest common subsequences, random words, central limit theorem, optimal alignments, Last passage percolation, Stein’s method, Ulam’s problem, Random permutations, Tracy-Widom distribution, edit/Levenshtein distance, supersequences, 05A05, 60C05, 60F05, 60F10
Daniel Lacker, Jiacheng Zhang
Electron. J. Probab. 28, 1-37, (2023) DOI: 10.1214/22-EJP889 Open Access
KEYWORDS: local equations, Interacting diffusions, sparse graphs, regular trees, Gibbs measures, Markov random fields, nonlinear Markov processes, Kesten-McKay law, Repulsive Particle Systems, 60K35, 60G10
James Allen Fill, Wei-Chun Hung
Electron. J. Probab. 28, 1-50, (2023) DOI: 10.1214/22-EJP899 Open Access
KEYWORDS: QuickQuant, QuickSelect, QuickVal, searching, convolutions of distributions, densities, integral equations, asymptotic bounds, tails of distributions, tails of densities, large deviations, moment generating functions, Lipschitz continuity, perfect simulation, 68P10, 60E05, 60C05
Lu Xu, Linjie Zhao
Electron. J. Probab. 28, 1-30, (2023) DOI: 10.1214/22-EJP900 Open Access
KEYWORDS: equilibrium perturbation, Exclusion process, oscillator chain, Hydrodynamic limit, 60K35, 82C22
Yvain Bruned, Foivos Katsetsiadis
Electron. J. Probab. 28, 1-25, (2023) DOI: 10.1214/22-EJP890 Open Access
KEYWORDS: Rough paths, Volterra equations, 60L20, 60L30, 60L70
Simon Coste
Electron. J. Probab. 28, 1-40, (2023) DOI: 10.1214/22-EJP875 Open Access
KEYWORDS: random directed graphs, random matrices, Sparse matrices, Eigenvalues, 60B20
George Andriopoulos, Eleanor Archer
Electron. J. Probab. 28, 1-64, (2023) DOI: 10.1214/23-EJP901 Open Access
KEYWORDS: Random walk in random environment, Dirichlet distribution, reinforced random walks, Galton–Watson trees, Diffusion in random environment, slow movement, 60F17, 60K37, 60K50, 60J60
François Huveneers, François Simenhaus
Electron. J. Probab. 28, 1-31, (2023) DOI: 10.1214/22-EJP896 Open Access
KEYWORDS: random walks in dynamical random environment, limit theorems, scaling limits, 60F17, 60G15, 60G50
Ivan Corwin, Alan Hammond, Milind Hegde, Konstantin Matetski
Electron. J. Probab. 28, 1-81, (2023) DOI: 10.1214/22-EJP898 Open Access
KEYWORDS: the KPZ fixed point, Exceptional times, Hausdorff dimension, Airy sheet, Brownian Gibbs property, 82C21, 60J25
Shosei Takeda, Kouji Yano
Electron. J. Probab. 28, 1-35, (2023) DOI: 10.1214/23-EJP903 Open Access
KEYWORDS: one-dimensional Lévy process, limit theorem, Penalization, Conditioning, 60F05, 60G44, 60G51
David P. Herzog, Jonathan C. Mattingly, Hung D. Nguyen
Electron. J. Probab. 28, 1-29, (2023) DOI: 10.1214/23-EJP904 Open Access
KEYWORDS: Invariant measures, Langevin equation with memory, Gibbsian dynamics, 60H10
Tom Hutchcroft
Electron. J. Probab. 28, 1-15, (2023) DOI: 10.1214/23-EJP905 Open Access
KEYWORDS: percolation, Isoperimetry, finite clusters, Random walk, 60K35, 60J99
Alexander Iksanov, Alexander Marynych, Anatolii Nikitin
Electron. J. Probab. 28, 1-22, (2023) DOI: 10.1214/23-EJP907 Open Access
KEYWORDS: exponential functional of Brownian motion, functional central limit theorem, Law of the iterated logarithm, perpetuity, 60F15, 60F17, 60G50, 60G55
Valentin Rapenne
Electron. J. Probab. 28, 1-38, (2023) DOI: 10.1214/23-EJP906 Open Access
KEYWORDS: branching random walks, Point processes, Invariant measures, 60
Kevin Yang
Electron. J. Probab. 28, 1-26, (2023) DOI: 10.1214/23-EJP908 Open Access
KEYWORDS: KPZ, Universality, Stochastic pde, 60H17
Jay Rosen
Electron. J. Probab. 28, 1-45, (2023) DOI: 10.1214/23-EJP910 Open Access
KEYWORDS: Thick points, two dimensional sphere, Barrier estimates, 60J65
David Criens, Peter Pfaffelhuber, Thorsten Schmidt
Electron. J. Probab. 28, 1-46, (2023) DOI: 10.1214/23-EJP902 Open Access
KEYWORDS: Martingale problem, path space, fixed times of discontinuity, limit theorems, Semimartingales, weak-strong convergence, stable convergence, Skorokhod topology, local uniform topology, Volterra equations, 60G07, 60F17, 60H15, 60G17
Richard F. Bass
Electron. J. Probab. 28, 1-12, (2023) DOI: 10.1214/23-EJP916 Open Access
KEYWORDS: most visited site, favorite point, Brownian motion, Rate of escape, 60J55
Timo Enger, Peter Pfaffelhuber
Electron. J. Probab. 28, 1-33, (2023) DOI: 10.1214/22-EJP897 Open Access
KEYWORDS: Markov jump process, functional central limit thoerem, stochastic averaging, 60F17, 60J35, 60J76, 60K35
Nicolas Champagnat, Denis Villemonais
Electron. J. Probab. 28, 1-84, (2023) DOI: 10.1214/22-EJP880 Open Access
KEYWORDS: Markov processes with absorption, quasi-stationary distribution, Q-process, mixing property, Diffusion processes, birth and death processes, reducible processes, perturbed dynamical systems, Galton-Watson processes, 37A25, 60B10, 60F99, 60J05, 60J10, 60J25, 60J27, 60J60, 60J75, 60J80, 93E03
James Allen Fill, Svante Janson
Electron. J. Probab. 28, 1-2, (2023) DOI: 10.1214/23-EJP915 Open Access
KEYWORDS: conditioned Galton–Watson tree, simply generated random tree, additive functional, tree recurrence, subtree sizes, Brownian excursion, Random analytic function, generating function, Singularity analysis, Hadamard product of sequences, method of moments, polylogarithm, 05C05, 60F05, 60C05, 30E99
Lucio Galeati, Chengcheng Ling
Electron. J. Probab. 28, 1-31, (2023) DOI: 10.1214/23-EJP913 Open Access
KEYWORDS: SDEs with singular coefficients, stability, Krylov–Röckner condition, distributional drifts, McKean–Vlasov equations, strong compactness of solutions, Wong–Zakai theorem, 60H10, 60H50, 60F15, 60J60
Gayral Léo, Sablik Mathieu
Electron. J. Probab. 28, 1-38, (2023) DOI: 10.1214/23-EJP917 Open Access
KEYWORDS: Subshift of finite type, stability, Besicovitch distance, percolation, Robinson tiling, 37B51, 37A50, 60K35, 82B43
Khoa Lê
Electron. J. Probab. 28, 1-22, (2023) DOI: 10.1214/23-EJP918 Open Access
KEYWORDS: stochastic sewing, stochastic regularization, martingale type, Local time, 60H99, 46N30, 60H50
F. Götze, A. Tikhomirov
Electron. J. Probab. 28, 1-18, (2023) DOI: 10.1214/23-EJP919 Open Access
KEYWORDS: random matrices, Sample covariance matrices, Marchenko–Pastur law, 60B20
Marie Albenque, Éric Fusy, Thomas Lehéricy
Electron. J. Probab. 28, 1-54, (2023) DOI: 10.1214/23-EJP912 Open Access
KEYWORDS: planar maps, Planar graphs, Brownian sphere, Random geometry, 05C10, 05C12, 05C80, 60C05, 60D05, 82B41
Goran Peskir, David Roodman
Electron. J. Probab. 28, 1-28, (2023) DOI: 10.1214/23-EJP909 Open Access
KEYWORDS: slowly reflecting (sticky) boundary behaviour, sticky (Feller) boundary condition, Brownian motion, Bessel process, Feller branching diffusion, Cox-Ingersoll-Ross model, Ornstein-Uhlenbeck process, Vasicek model, Stochastic differential equation, diffusion local time, Time change, transition probability density function, Laplace transform, Green function, Kolmogorov forward/backward equation, scale function, Speed measure, modified Bessel function, Kummer’s confluent hypergeometric function, Tricomi’s confluent hypergeometric function, Mittag-Leffler function, Gamma function, 60J60, 60J65, 60H20, 35C15, 35K20, 35K67
Morris Ang, Nina Holden, Xin Sun
Electron. J. Probab. 28, 1-20, (2023) DOI: 10.1214/23-EJP914 Open Access
KEYWORDS: Schramm-Loewner evolution, Liouville quantum gravity, 60J67, 60G60
Shubhamoy Nandan
Electron. J. Probab. 28, 1-36, (2023) DOI: 10.1214/23-EJP922 Open Access
KEYWORDS: Moran model, Resampling, migration, seed-bank, random environment, fixation probability, Equilibrium, clustering, Coexistence, Duality, Interacting particle system, 60B12, 60K37, 60K35, 92D10, 92D25
Benoît Henry, Sylvie Méléard, Viet Chi Tran
Electron. J. Probab. 28, 1-27, (2023) DOI: 10.1214/23-EJP911 Open Access
KEYWORDS: stochastic individual-based models, birth-death processes, interaction, competition, jump process, non-local mutation operator, Many-to-One formula, ancestral path, genealogy, phylogeny, 92D25, 92D15, 60J80, 60K35, 60F99
Vivek Dewan, Stephen Muirhead
Electron. J. Probab. 28, 1-24, (2023) DOI: 10.1214/23-EJP923 Open Access
KEYWORDS: continuum percolation, Poisson-Boolean model, Critical exponents, mean-field bounds, 60G60, 60F99
Matthew Coulson, Guillem Perarnau
Electron. J. Probab. 28, 1-28, (2023) DOI: 10.1214/23-EJP921 Open Access
KEYWORDS: configuration model, random graph with given degree sequence, component structure, largest component, Local limit theorems, 05C80, 05C82, 60C05, 60F05
Guillaume Conchon-Kerjan
Electron. J. Probab. 28, 1-60, (2023) DOI: 10.1214/23-EJP920 Open Access
KEYWORDS: Gaussian free field, percolation, Random graphs, 60K35, 60G15, 60C05, 05C80
Zhen-Qing Chen, Jie-Ming Wang
Electron. J. Probab. 28, 1-54, (2023) DOI: 10.1214/23-EJP925 Open Access
KEYWORDS: Green function, Harmonic function, Martin integral representation, boundary Harnack principle, interior Schauder’s estimate, 31B25, 35J08, 60J45
Stein Andreas Bethuelsen, Matthias Birkner, Andrej Depperschmidt, Timo Schlüter
Electron. J. Probab. 28, 1-54, (2023) DOI: 10.1214/23-EJP924 Open Access
KEYWORDS: random walk in dynamical random environment, Oriented percolation, supercritical cluster, quenched local limit theorem in random environment, environment viewed from the particle, 60K35, 60K37, 60J10, 82B43
Pengfei Tang
Electron. J. Probab. 28, 1-22, (2023) DOI: 10.1214/23-EJP926 Open Access
KEYWORDS: Bernoulli percolation, cutset, critical probability, periodic trees, 60CO5, 60K35
Kazuo Yamazaki
Electron. J. Probab. 28, 1-66, (2023) DOI: 10.1214/23-EJP929 Open Access
KEYWORDS: Gaussian hypercontractivity, magnetohydrodynamics system, Paracontrolled distributions, renormalization, Wick products, 35B65, 35Q85, 35R60
Anna Aksamit, Libo Li, Marek Rutkowski
Electron. J. Probab. 28, 1-41, (2023) DOI: 10.1214/23-EJP927 Open Access
KEYWORDS: BSDE, Reflected BSDE, credit risk, random time, Enlargement of filtration, 60H30, 60H10, 60G40, 91G40
Muneya Matsui
Electron. J. Probab. 28, 1-29, (2023) DOI: 10.1214/23-EJP928 Open Access
KEYWORDS: subexponential density, Infinite divisibility, Lévy measure, long-tailedness, tail equivalence, asymptotic to a non-increasing function, almost decreasing, 60E07, 60G70, 62F12
Sayan Banerjee, Xiangying Huang
Electron. J. Probab. 28, 1-39, (2023) DOI: 10.1214/23-EJP930 Open Access
KEYWORDS: attachment functions, continuous time branching processes, network centrality measures, degree centrality, Persistence, root finding algorithms, 05C82, 60J85, 60J28
Yacine Chitour, Guilherme Mazanti, Pierre Monmarché, Mario Sigalotti
Electron. J. Probab. 28, 1-39, (2023) DOI: 10.1214/23-EJP932 Open Access
KEYWORDS: linear switched systems, continuous-time Markov processes, Piecewise deterministic Markov processes, convexified Markov processes, Lyapunov exponents, 60J25, 34A38, 34D08
Jürgen Angst, Guillaume Poly
Electron. J. Probab. 28, 1-40, (2023) DOI: 10.1214/23-EJP931 Open Access
KEYWORDS: almost sure CLT, random trigonometric polynomials, Noise sensitivity, Universality, 26C10, 30C15, 42A05, 60F17, 60G55
Nathalie Eisenbaum, Haya Kaspi
Electron. J. Probab. 28, 1-3, (2023) DOI: 10.1214/23-EJP935 Open Access
KEYWORDS: Markov process, excessive measure, Local time, Gaussian free fields, isomorphism theorem, Random interlacements, Kuznetsov process, quasi-process, 60A10, 60G05, 60G07, 60G15, 60G53, 60G57, 60J25, 60J35, 60J40, 60J45, 60J55
Rami Fakhry, Dapeng Zhan
Electron. J. Probab. 28, 1-29, (2023) DOI: 10.1214/23-EJP936 Open Access
KEYWORDS: Schramm-Loewner evolution, SLE, Green’s function, 60J67
Peter Pfaffelhuber, Anton Wakolbinger
Electron. J. Probab. 28, 1-15, (2023) DOI: 10.1214/23-EJP934 Open Access
KEYWORDS: Poisson approximation, Feller branching diffusion, transposable elements, slow-fast system, 92D15, 60J80, 60F17, 60G57
Christian Kuehn, Alexandra Neamţu
Electron. J. Probab. 28, 1-31, (2023) DOI: 10.1214/23-EJP938 Open Access
KEYWORDS: center manifold, rough path, evolution equation, interpolation spaces, Lyapunov-Perron method, 60H15, 60G22, 60L20, 60L50, 37L55
William Da Silva
Electron. J. Probab. 28, 1-45, (2023) DOI: 10.1214/23-EJP937 Open Access
KEYWORDS: growth-fragmentation process, real-valued self-similar Markov process, spinal decomposition, Stable process, Excursion theory, 60D05
Eliran Subag
Electron. J. Probab. 28, 1-21, (2023) DOI: 10.1214/23-EJP933 Open Access
KEYWORDS: Spin glasses, second moment, replica symmetry, 82D30, 60G15, 60G60
Antonis Papapantoleon, Dylan Possamaï, Alexandros Saplaouras
Electron. J. Probab. 28, 1-56, (2023) DOI: 10.1214/23-EJP939 Open Access
KEYWORDS: BSDE, stability, nonlinear martingale representations, processes with jumps, stochastically discontinuous martingales, random time horizon, stochastic Lipschitz generator, 60F15, 60F17, 60F25, 60G05, 60G07, 60G44, 60G048, 60G57, 60H05, 60H20
Morris Ang, Nina Holden, Xin Sun
Electron. J. Probab. 28, 1-50, (2023) DOI: 10.1214/23-EJP943 Open Access
KEYWORDS: Schramm-Loewner evolution, Liouville quantum gravity, 60J67, 60G60
Loïc Chaumont, Thomas Pellas
Electron. J. Probab. 28, 1-25, (2023) DOI: 10.1214/23-EJP942 Open Access
KEYWORDS: Lévy process, bivariate subordinator, creeping, Ornstein-Uhlenbeck process, 60G50
Martin Saal, Jakub Slavík
Electron. J. Probab. 28, 1-56, (2023) DOI: 10.1214/23-EJP940 Open Access
KEYWORDS: primitive equations, horizontal viscosity, Nonlinear stochastic PDE, Multiplicative noise, 35Q35, 35A01, 35K65, 35M10, 35Q86, 35R60, 60H15, 76D03, 86A05, 86A10
Guido Mazzuca, Ronan Memin
Electron. J. Probab. 28, 1-29, (2023) DOI: 10.1214/23-EJP941 Open Access
KEYWORDS: Large Deviations Principle, Ablowitz-Ladik lattice, Schur flow, integrable systems, 37A50, 15A52, 37J35, 82B05
Luis Benitez, Matthew Junge, Hanbaek Lyu, Maximus Redman, Lily Reeves
Electron. J. Probab. 28, 1-18, (2023) DOI: 10.1214/23-EJP948 Open Access
KEYWORDS: phase transition, Interacting particle system, statistical physics, 60K35
Steffen Dereich, Sebastian Kassing
Electron. J. Probab. 28, 1-48, (2023) DOI: 10.1214/23-EJP947 Open Access
KEYWORDS: stochastic approximation, Robbins-Monro, Ruppert-Polyak average, deep learning, stable manifold, 62L20, 60J05, 65C05
Márton Borbényi, Balázs Ráth, Sándor Rokob
Electron. J. Probab. 28, 1-45, (2023) DOI: 10.1214/23-EJP950 Open Access
KEYWORDS: Random interlacements, factor of iid, Random walk, unimodularity, 37A50, 82B41
G. Mijoule, M. Raič, G. Reinert, Y. Swan
Electron. J. Probab. 28, 1-40, (2023) DOI: 10.1214/22-EJP883 Open Access
KEYWORDS: Stein operators, density method, elliptical distributions, Stein kernels, 60B10, 60B12
Shirshendu Ganguly, Alan Hammond
Electron. J. Probab. 28, 1-80, (2023) DOI: 10.1214/22-EJP895 Open Access
KEYWORDS: Brownian last passage percolation, dynamical models, geodesic excursions, geodesic modulus of continuity, stability and chaos
Noah Forman, Douglas Rizzolo, Quan Shi, Matthias Winkel
Electron. J. Probab. 28, 1-46, (2023) DOI: 10.1214/23-EJP946 Open Access
KEYWORDS: interval partition, branching processes, self-similar diffusion, Chinese restaurant process, infinitely-many-neutral-alleles model, regenerative composition structure, 60J25, 60J60, 60J80, 60G18, 60G52, 60G55
Alexis Prévost
Electron. J. Probab. 28, 1-43, (2023) DOI: 10.1214/23-EJP949 Open Access
KEYWORDS: Gaussian free field, percolation, cable system, interlacements, isomorphism theorem, 60K35, 60G15, 60G60, 82B43
Han Huang, Konstantin Tikhomirov
Electron. J. Probab. 28, 1-23, (2023) DOI: 10.1214/23-EJP944 Open Access
KEYWORDS: subgaussian random variables, concentration of measure, convex Lipschitz functions, 60F10
Mathav Murugan, Laurent Saloff-Coste
Electron. J. Probab. 28, 1-81, (2023) DOI: 10.1214/23-EJP954 Open Access
KEYWORDS: Random walks, Gaussian estimates, parabolic Harnack inequality, 60J05, 58J65, 60J35, 58J35
Haojie Hou, Yan-Xia Ren, Renming Song
Electron. J. Probab. 28, 1-63, (2023) DOI: 10.1214/23-EJP956 Open Access
KEYWORDS: Branching Brownian motion, random environment, Law of Large Numbers, invariance principle, 60J80, 60G70, 82B44
Tomasz Gałązka, Adam Osękowski
Electron. J. Probab. 28, 1-20, (2023) DOI: 10.1214/23-EJP953 Open Access
KEYWORDS: martingale, transform, Differential subordination, Burkholder’s method, best constants, 60G42, 60G44
Yuri Kozitsky, Michael Röckner
Electron. J. Probab. 28, 1-59, (2023) DOI: 10.1214/23-EJP952 Open Access
KEYWORDS: Measure-valued Markov process, point process, martingale solution, Fokker-Planck equation, stochastic semigroup, 60J25, 60J75, 60G55, 35Q84
Yingxia Chen, Fuqing Gao
Electron. J. Probab. 28, 1-57, (2023) DOI: 10.1214/23-EJP955 Open Access
KEYWORDS: Directed polymer, Stochastic heat equation, Random walk, Stable law, spatial-correlated environment, 60G50, 60H15, 60K37, 82B44
Damir Kinzebulatov, Yuliy A. Semënov
Electron. J. Probab. 28, 1-15, (2023) DOI: 10.1214/23-EJP957 Open Access
KEYWORDS: Parabolic equations, stochastic equations, singular drifts, 60H10, 35J75
Jan Niklas Latz, Jan M. Swart
Electron. J. Probab. 28, 1-26, (2023) DOI: 10.1214/23-EJP961 Open Access
KEYWORDS: Interacting particle system, Duality, contact process, annihilating branching process, cancellative contact process, monoid, 82C22, 60K35, 20M32
Tommaso Rosati, András Tóbiás
Electron. J. Probab. 28, 1-29, (2023) DOI: 10.1214/23-EJP958 Open Access
KEYWORDS: 60H15, 60J80, 35C07, 92D25, Fisher-KPP, coordinated branching, wave speed, moment duality
Yan-Xia Ren, Renming Song, Fan Yang
Electron. J. Probab. 28, 1-50, (2023) DOI: 10.1214/23-EJP960 Open Access
KEYWORDS: Branching Brownian motion, periodic environment, F-KPP equation, pulsating traveling waves, Bessel-3 process, Brownian motion, spine decomposition, 60J80, 35C07
Christian Hirsch, Taegyu Kang, Takashi Owada
Electron. J. Probab. 28, 1-27, (2023) DOI: 10.1214/23-EJP965 Open Access
KEYWORDS: large deviation principle, M0-convergence, k-nearest neighbor ball, point process, Stochastic geometry, 60F10, 60D05, 60G55
Mihály Kovács, Eszter Sikolya
Electron. J. Probab. 28, 1-20, (2023) DOI: 10.1214/23-EJP962 Open Access
KEYWORDS: quantum graph, Hamiltonian operator, white-noise vertex conditions, 81Q35, 60H15, 35R60, 35R02, 47D06
George Liddle, Amanda Turner
Electron. J. Probab. 28, 1-32, (2023) DOI: 10.1214/23-EJP964 Open Access
KEYWORDS: Planar random growth, scaling limits, Fluctuations, anisotropic growth, 60Fxx, 60K35
Arvind Kumar Nath, Suprio Bhar
Electron. J. Probab. 28, 1-15, (2023) DOI: 10.1214/23-EJP959 Open Access
KEYWORDS: S′ valued process, Lévy processes, Hermite-Sobolev space, Strong solution, 60G51, 60H10, 60H15
Xuan Wu
Electron. J. Probab. 28, 1-50, (2023) DOI: 10.1214/23-EJP963 Open Access
KEYWORDS: Laguerre unitary ensemble, Gibbs property, 60B10, 60B20
James Allen Fill
Electron. J. Probab. 28, 1-27, (2023) DOI: 10.1214/23-EJP968 Open Access
KEYWORDS: Multivariate records, Pareto records, record breaking, current records, Maxima, Poisson point processes, asymptotics, 60D05, 60F05
Friedrich Götze, Holger Sambale
Electron. J. Probab. 28, 1-30, (2023) DOI: 10.1214/23-EJP966 Open Access
KEYWORDS: concentration of measure phenomenon, Stiefel manifold, Grassmann manifold, Logarithmic Sobolev inequality, Hanson-Wright inequality, 60E15, 28C10, 58C35
Roberto Cortez, Hagop Tossounian
Electron. J. Probab. 28, 1-29, (2023) DOI: 10.1214/23-EJP967 Open Access
KEYWORDS: Kac’s chaos, propagation of chaos, Entropy, Entropic chaos, Fisher information, 82C40, 60F99
Ruojun Huang
Electron. J. Probab. 28, 1-31, (2023) DOI: 10.1214/23-EJP973 Open Access
KEYWORDS: second-order system, Scaling limit, annihilating particles, Local interaction, Hypoellipticity, 60K35, 82C21, 82C40, 35J70
Svante Janson, Cécile Mailler, Denis Villemonais
Electron. J. Probab. 28, 1-72, (2023) DOI: 10.1214/23-EJP951 Open Access
KEYWORDS: central and Lp limit theorems, branching processes, Pólya urns, measure-valued Pólya processes, stochastic approximation, N60F05, 60F25, 60J80, 62L20
Xiao Fang, Yuta Koike
Electron. J. Probab. 28, 1-52, (2023) DOI: 10.1214/23-EJP976 Open Access
KEYWORDS: central limit theorem, Cramér-type moderate deviations, Multivariate normal approximation, p-Wasserstein distance, Stein’s method, 60F05, 60F10, 62E17
Andreas Greven, Frank den Hollander
Electron. J. Probab. 28, 1-66, (2023) DOI: 10.1214/23-EJP974 Open Access
Juhan Aru, Léonie Papon, Ellen Powell
Electron. J. Probab. 28, 1-24, (2023) DOI: 10.1214/23-EJP975 Open Access
KEYWORDS: Gaussian free field, Conformal Loop Ensemble, Thick points, 60G15, 60G60, 60G70, 60J67
Médéric Motte, Huyên Pham
Electron. J. Probab. 28, 1-24, (2023) DOI: 10.1214/23-EJP978 Open Access
KEYWORDS: McKean-Vlasov process, mean-field control, propagation of chaos, rate of convergence, common noise, 60J05, 60F15, 91A12
Jérôme Casse
Electron. J. Probab. 28, 1-17, (2023) DOI: 10.1214/23-EJP971 Open Access
KEYWORDS: cellular automata, ergodicity, envelope PCA, Random walks, 60K35, 60J05, 37B15, 37A50
Alexis Anagnostakis
Electron. J. Probab. 28, 1-26, (2023) DOI: 10.1214/23-EJP972 Open Access
KEYWORDS: Local time, occupation time, stickiness parameter estimation, statistic, high frequency, sticky process, Sticky Brownian motion, singular diffusion, Semimartingale, Primary 60F17, 60J55, Secondary 60J60
Yuki Hirai
Electron. J. Probab. 28, 1-41, (2023) DOI: 10.1214/23-EJP986 Open Access
KEYWORDS: Itô–Föllmer integral, Quadratic Variation, Itô formula, 60H99, 60H05
Tianshu Cong, Aihua Xia
Electron. J. Probab. 28, 1-35, (2023) DOI: 10.1214/23-EJP979 Open Access
KEYWORDS: Wasserstein distance, Stein’s method, fast decay of dependence, Gibbs point process, determinantal point process, 60F05, 60D05, 60G55, 62E20, 05C80
Nawaf Bou-Rabee, Katharina Schuh
Electron. J. Probab. 28, 1-40, (2023) DOI: 10.1214/23-EJP970 Open Access
KEYWORDS: Hamiltonian Monte Carlo, coupling, Convergence to equilibrium, mean-field models, Primary 60J05, 65P10, 65C05
Alexander Glazman, Ron Peled
Electron. J. Probab. 28, 1-53, (2023) DOI: 10.1214/23-EJP980 Open Access
KEYWORDS: Six-vertex model, Ashkin–Teller model, phase transition, Gibbs measures, percolation, FKG inequality, height function, 60K35, 82B20
Shao-Qin Zhang
Electron. J. Probab. 28, 1-34, (2023) DOI: 10.1214/23-EJP981 Open Access
KEYWORDS: Distribution dependent SDEs, invariant probabilities, phase transition, Zvonkin’s transform, McKean-Vlasov stochastic differential equations, 60H10, 60G10
Umberto De Ambroggio, Matthew I. Roberts
Electron. J. Probab. 28, 1-55, (2023) DOI: 10.1214/23-EJP982 Open Access
KEYWORDS: random regular graph, percolation, component size, Exploration process, 60C05, 05C80
Reza Gheissari, Eyal Lubetzky
Electron. J. Probab. 28, 1-44, (2023) DOI: 10.1214/23-EJP987 Open Access
KEYWORDS: Ising model, Interface, Random surface, Entropic repulsion, 60K35, 82B20
Yuming Paul Zhang, Andrej Zlatoš
Electron. J. Probab. 28, 1-23, (2023) DOI: 10.1214/23-EJP990 Open Access
KEYWORDS: subadditive theorems, time-dependent environment, 60K37, 60F15
Zehao Guan
Electron. J. Probab. 28, 1-30, (2023) DOI: 10.1214/21-EJP668 Open Access
KEYWORDS: NA, NA
Jean-Jil Duchamps, Félix Foutel-Rodier, Emmanuel Schertzer
Electron. J. Probab. 28, 1-37, (2023) DOI: 10.1214/23-EJP992 Open Access
KEYWORDS: Crump–Mode–Jagers process with interaction, functional law of large numbers, Kermack–McKendrick model, non-Markovian epidemic model, contact-tracing, Local weak convergence, infection graph, 69J85, 92D30, 60K35
Lifen An, Samuel N. Cohen, Shaolin Ji
Electron. J. Probab. 28, 1-24, (2023) DOI: 10.1214/23-EJP989 Open Access
KEYWORDS: backward stochastic difference equations (BSDEs), reflected BSDEs (RBSDEs), Optimal stopping, g-expectation, American contingent claims, 60H10, 60G42
Pietro Caputo, Matteo Quattropani, Federico Sau
Electron. J. Probab. 28, 1-31, (2023) DOI: 10.1214/23-EJP993 Open Access
KEYWORDS: Mixing of Markov chains, Cutoff phenomenon, Averaging process, 60K35, 82B20, 82C26
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller, Shang-Yuan Shiu
Electron. J. Probab. 28, 1-66, (2023) DOI: 10.1214/23-EJP983 Open Access
KEYWORDS: Stochastic partial differential equations, Invariant measures, phase transition, 60H15, 35R60
Giuseppe Cannizzaro, Martin Hairer
Electron. J. Probab. 28, 1-47, (2023) DOI: 10.1214/23-EJP984 Open Access
KEYWORDS: Brownian web, Random trees, Brownian Castle, 60G
Baoyou Qu, Falei Wang
Electron. J. Probab. 28, 1-26, (2023) DOI: 10.1214/23-EJP991 Open Access
KEYWORDS: mean reflected BSDE, non-convex domain, inward normal direction, a priori estimates, 60H10, 60H30
Alexander M. G. Cox, Benjamin A. Robinson
Electron. J. Probab. 28, 1-24, (2023) DOI: 10.1214/23-EJP995 Open Access
KEYWORDS: Stochastic differential equations, Stochastic control, Brownian filtrations, circular Brownian motion, 60G44, 60H10, 93E20
Evgeni Dimitrov, Hengzhi Zhang
Electron. J. Probab. 28, 1-28, (2023) DOI: 10.1214/23-EJP977 Open Access
KEYWORDS: β-ensembles, LDP, log-gas, 60F10, 82B05
Johannes Bäumler
Electron. J. Probab. 28, 1-24, (2023) DOI: 10.1214/23-EJP998 Open Access
KEYWORDS: Random walk, recurrence, transience, percolation, random connection model, 60G50, 05C81, 82B41, 60K35
Stephen Muirhead
Electron. J. Probab. 28, 1-25, (2023) DOI: 10.1214/23-EJP994 Open Access
KEYWORDS: Gaussian vectors, Gaussian fields, Decoupling inequalities, percolation, 60G15, 60G60, 60K35
Leandro Chiarini, Milton Jara, Wioletta M. Ruszel
Electron. J. Probab. 28, 1-42, (2023) DOI: 10.1214/23-EJP996 Open Access
KEYWORDS: fractional Edgeworth expansion, local central limit theorem, potential kernel, Stable distributions, Heavy-tailed random walks, Fluctuations, discrete stochastic linear stochastic equations, 60J45, 60G50, 60E10, 60G52, 60E07
Yuri Bakhtin, Douglas Dow
Electron. J. Probab. 28, 1-43, (2023) DOI: 10.1214/23-EJP1000 Open Access
KEYWORDS: Directed polymers, Localization, joint localization, 60K37, 82B44, 82D60
Pierre Andreoletti, Pierre Debs
Electron. J. Probab. 28, 1-25, (2023) DOI: 10.1214/23-EJP969 Open Access
KEYWORDS: perturbed random walks, Renewal theorem, ergodic theorem, 05C81, 60J55, 60K10, 60J10, 60K40
Jean-Baptiste Gouéré, Florestan Labéy
Electron. J. Probab. 28, 1-57, (2023) DOI: 10.1214/23-EJP997 Open Access
KEYWORDS: continuum percolation, Boolean model, high dimension, 60K35, 60D05, 82B43
Gianmarco Bet, Anna Gallo, Seonwoo Kim
Electron. J. Probab. 28, 1-37, (2023) DOI: 10.1214/23-EJP1003 Open Access
KEYWORDS: metastability, Potts model, general interactions, Glauber dynamics, energy landscape, 60J28, 60K35, 82C22
Benson Au, Jorge Garza-Vargas
Electron. J. Probab. 28, 1-32, (2023) DOI: 10.1214/23-EJP1001 Open Access
KEYWORDS: random tensor, Random matrix, Free probability, 60B20, 46L54, 46L53, 15B52
Hun O, Mun-Chol Kim, Kon-Gun Kim
Electron. J. Probab. 28, 1-20, (2023) DOI: 10.1214/23-EJP999 Open Access
KEYWORDS: reflected backward stochastic differential equation, nonlinear optimal stopping, dynamic programming principle, g-supermartingale decomposition, non-Skorohod-type minimality condition, second order reflected backward stochastic differential equation, 60H10, 60H30
Marco Seiler, Anja Sturm
Electron. J. Probab. 28, 1-61, (2023) DOI: 10.1214/23-EJP1002 Open Access
KEYWORDS: contact process, evolving random environment, dynamical graphs, interacting particle systems, phase transition, 60K35, 05C80, 82C22
Jacob Calvert
Electron. J. Probab. 28, 1-51, (2023) DOI: 10.1214/23-EJP1004 Open Access
KEYWORDS: Markov chain, phase transition, Random walk, harmonic measure, 60J10, 60G50, 31C20, 82C41
Tianle Liu, Morgane Austern
Electron. J. Probab. 28, 1-47, (2023) DOI: 10.1214/23-EJP1009 Open Access
KEYWORDS: Normal approximation, Wasserstein distance, local dependence, U-statistics, Stein’s method, 60F05
Orphée Collin, Benedikt Jahnel, Wolfgang König
Electron. J. Probab. 28, 1-58, (2023) DOI: 10.1214/23-EJP1014 Open Access
KEYWORDS: Free energy, interacting random point systems, Bose–Einstein condensation, emergence of macroscopic structures, symmetrised trace, large deviations, empirical stationary measure, variational formula, polydispersed droplet configuration, 60F10, 60J65, 82B10, 81S40
Xia Chen
Electron. J. Probab. 28, 1-17, (2023) DOI: 10.1214/23-EJP985 Open Access
KEYWORDS: Dalang’s condition, Self-intersection local times, Brownian motion, Ornstein–Uhlenbeck process, 60F10, 60G15, 60J65
Ron Doney
Electron. J. Probab. 28, 1-14, (2023) DOI: 10.1214/23-EJP1008 Open Access
KEYWORDS: Renewal theorem, regular variation, local behaviour, 60K05, 60G50
Xi Geng, Sheng Wang
Electron. J. Probab. 28, 1-28, (2023) DOI: 10.1214/23-EJP1017 Open Access
KEYWORDS: line integrals, Rough paths, Malliavin calculus, signature uniqueness, 60H07, 60H10, 34F05
Yier Lin
Electron. J. Probab. 28, 1-40, (2023) DOI: 10.1214/23-EJP1022 Open Access
KEYWORDS: stochastic vertex models, stationary distribution, blocking measures, current, 60K35, 60G10, 82C22
Dylan J. Altschuler
Electron. J. Probab. 28, 1-28, (2023) DOI: 10.1214/23-EJP1024 Open Access
KEYWORDS: perceptron, Discrepancy, constraint satisfaction, sharp threshold, Cavity method, 60C05
Christian Serio
Electron. J. Probab. 28, 1-14, (2023) DOI: 10.1214/23-EJP1026 Open Access
KEYWORDS: line ensembles, Random walk, SOS model, 60G50, 60F17, 82B41, 82B20
Kathrin Meier, Christian Stump
Electron. J. Probab. 28, 1-25, (2023) DOI: 10.1214/23-EJP1031 Open Access
KEYWORDS: permutaitons, finite Weyl groups, Root systems, Descents, Inversions, central limit theorems, 20F55, 05A15, 05A16, 60F05
Oleg Butkovsky, Vlad Margarint, Yizheng Yuan
Electron. J. Probab. 28, 1-25, (2023) DOI: 10.1214/23-EJP1015 Open Access
KEYWORDS: Schramm–Loewner evolution, Fokker–Planck–Kolmogorov equation, Markov process, invariant measure, 60J67, 30C20, 60H10
Johannes Ruf, Martin Larsson, Wouter M. Koolen, Aaditya Ramdas
Electron. J. Probab. 28, 1-21, (2023) DOI: 10.1214/23-EJP1019 Open Access
KEYWORDS: e-process, martingale, Measure zero, null set, optional stopping, 60A10, 60F15, 60G40
Turgay Bayraktar, Çiğdem Çelik
Electron. J. Probab. 28, 1-15, (2023) DOI: 10.1214/23-EJP1033 Open Access
KEYWORDS: Bernoulli polynomial, random polynomial mapping, zero distribution, 30C10, 60G99
Kevin Schnelli, Yuanyuan Xu
Electron. J. Probab. 28, 1-38, (2023) DOI: 10.1214/23-EJP1028 Open Access
KEYWORDS: Wigner matrix, edge universality, Tracy–Widom distributions, Green function comparison, 15B52, 60B20
Ivan Alexeev, Alexey Khartov
Electron. J. Probab. 28, 1-17, (2023) DOI: 10.1214/23-EJP1032 Open Access
KEYWORDS: multivariate probability laws, characteristic functions, Infinitely divisible laws, the Lévy representation, quasi-infinitely divisible laws, Cramér–Wold device, 60E05, 60E07, 60E10
Benedikt Jahnel, Sanjoy Kumar Jhawar, Anh Duc Vu
Electron. J. Probab. 28, 1-38, (2023) DOI: 10.1214/23-EJP1029 Open Access
KEYWORDS: Boolean model, Cox point process, Manhattan grid, discretization, phase transition, 60K35, 60K37, 60G55, 90B18
Adam Quinn Jaffe
Electron. J. Probab. 28, 1-33, (2023) DOI: 10.1214/23-EJP1016 Open Access
KEYWORDS: coupling, equivalence relation, Total variation, Duality, Optimal transport, Kantorovich duality, Borel equivalence relation, smoothness, hypersmoothness, 60A10, 03E15, 28A35, 90C46
Takahiro Hasebe, Yuki Ueda
Electron. J. Probab. 28, 1-19, (2023) DOI: 10.1214/23-EJP1035 Open Access
KEYWORDS: free probability theory, free Lévy measure, Cauchy transform, normal distribution, 46L54, 60E07, 30B40
Xing Huang, Wujun Lv
Electron. J. Probab. 28, 1-20, (2023) DOI: 10.1214/23-EJP1027 Open Access
KEYWORDS: stochastic Hamiltonian system, path-distribution dependent, exponential ergodicity, log-Harnack inequality, propagation of chaos, 60H10, 60H15
Lukas Anzeletti, Alexandre Richard, Etienne Tanré
Electron. J. Probab. 28, 1-49, (2023) DOI: 10.1214/23-EJP1010 Open Access
KEYWORDS: regularisation by noise, fractional Brownian motion, Local time, skew processes, 60H50, 60H10, 60G22, 34A06
Philip Schär
Electron. J. Probab. 28, 1-28, (2023) DOI: 10.1214/23-EJP1030 Open Access
KEYWORDS: MCMC, slice sampling, Wasserstein contraction, spectral gap, 65C05, 60J05, 60J22
Yoshihiro Abe, Marek Biskup, Sangchul Lee
Electron. J. Probab. 28, 1-45, (2023) DOI: 10.1214/23-EJP988 Open Access
KEYWORDS: Random walk, Local time, Thick points, exceptional points, Ray-Knight theorem, Liouville quantum gravity, Gaussian multiplicative chaos, 60J55, 60G70, 28A80
Matthew Nicoletti, Leonid Petrov
Electron. J. Probab. 28, 1-55, (2023) DOI: 10.1214/23-EJP1005 Open Access
KEYWORDS: Probability, Mathematical Physics, combinatorics, 82C20, 60J10
Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe, Alexander Marynych
Electron. J. Probab. 28, 1-17, (2023) DOI: 10.1214/23-EJP1039 Open Access
KEYWORDS: Curie Weiss model, propagation of chaos, local limit theorem, total variation distance, mixture distribution, 82B05, 82B20, 60F05
Pu Yu
Electron. J. Probab. 28, 1-19, (2023) DOI: 10.1214/23-EJP1040 Open Access
KEYWORDS: Schramm Loewner Evolution, Gaussian free field, 60J67
Jean Bertoin
Electron. J. Probab. 28, 1-19, (2023) DOI: 10.1214/23-EJP1047 Open Access
KEYWORDS: Pólya urn, innovation, Empirical distribution, martingale central limit theorem, 60F17, 60G44, 60J85, 62G30