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Articles
Sunder Ram Krishnan, Jonathan E. Taylor, Robert J. Adler
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/16-ECP4763
KEYWORDS: Gaussian process, Manifold, random embedding, intrinsic functional, asymptotics, 60G15, 57N35, 60D05, 60G60, 70G45
Diego S. Ledesma
Electron. Commun. Probab. 22, 1-6, (2017) DOI: 10.1214/16-ECP3836
KEYWORDS: Foliation, diffusion process, stochastic calculus, 58J65, 53C12, 60H30, 60J60
Hatem Hajri, Mine Caglar, Marc Arnaudon
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/16-ECP37
KEYWORDS: Sticky Brownian motion, Stochastic flows, Weak solution, Wiener Chaos, 60H25, 60J60
Seiichiro Kusuoka, Hiroshi Takahashi, Yozo Tamura
Electron. Commun. Probab. 22, 1-11, (2017) DOI: 10.1214/16-ECP36
KEYWORDS: Diffusion process in random environment, recurrence, transience, Stable Lévy process, semi-stable Lévy process, 60K37, 60J60, 60G52
Ori Gurel-Gurevich, Asaf Nachmias, Juan Souto
Electron. Commun. Probab. 22, 1-6, (2017) DOI: 10.1214/16-ECP4418
KEYWORDS: Random walk, Circle packing, 05C81, 52C26
Raphaël Butez, Ofer Zeitouni
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/16-ECP33
KEYWORDS: large deviations, random polynomials, 60F10
Götz Kersting
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/16-ECP39
KEYWORDS: Markov property, recurrence, transience, Lyapunov function, martingale, 60J10
Tomoyuki Ichiba, Andrey Sarantsev
Electron. Commun. Probab. 22, 1-7, (2017) DOI: 10.1214/17-ECP41
KEYWORDS: Competing Brownian particles, total collision, multiple collision, triple collision, simultaneous collision, 60K35, 60H10, 60J65, 60J60
Brice Franke, Françoise Pène, Martin Wendler
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/16-ECP4173
KEYWORDS: Random walk, Random scenery, $U$-statistics, stable limits, Law of the iterated logarithm, 60F05, 60F17, 60G50, 60K37
Mikhail Urusov, Mihail Zervos
Electron. Commun. Probab. 22, 1-6, (2017) DOI: 10.1214/17-ECP42
KEYWORDS: one-dimensional strong Markov processes, $r$-excessive functions, local martingales, 60G44, 60G48, 60J60
Qiang Gao, Mingshang Hu, Xiaojun Ji, Guomin Liu
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP46
KEYWORDS: $g$-expectation, nonlinear expectation, distribution, independence, tightness, 60E05, 60H10
Sébastien Martineau
Electron. Commun. Probab. 22, 1-4, (2017) DOI: 10.1214/17-ECP43
KEYWORDS: Cayley graph, transitive graph, Connective constant, uncountability, 82B20, 20F65
Aran Raoufi, Ariel Yadin
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/16-ECP40
KEYWORDS: percolation, Cayley graphs, phase transition, 82B43, 60K35, 82B26
Itai Benjamini, Romain Tessera
Electron. Commun. Probab. 22, 1-8, (2017) DOI: 10.1214/17-ECP44
KEYWORDS: first passage percolation, two-sided geodesics, hyperbolic graph, Morse geodesics, 82B43, 51F99, 97K50
Arnaud Guillin, Pierre Monmarché
Electron. Commun. Probab. 22, 1-2, (2017) DOI: 10.1214/17-ECP45
KEYWORDS: hypocoercivity, Ornstein-Uhlenbeck process, irreversibility, optimal sampling, 60J60, 35K10, 65C05
Eric Cator, Henk Don
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP48
KEYWORDS: Self-averaging, recursion, non-convergence, shooting problem, 60F99
Ross G. Pinsky
Electron. Commun. Probab. 22, 1-9, (2017) DOI: 10.1214/17-ECP49
KEYWORDS: permutations that fix a set, covers of multisets, Touchard polynomials, Dobínski’s formula, Bell numbers, cycles in random permutations, Ewens sampling distribution, 60C05, 05A05, 05A15
Konrad Kolesko, Matthias Meiners
Electron. Commun. Probab. 22, 1-14, (2017) DOI: 10.1214/17-ECP50
KEYWORDS: Branching random walk, Complex martingales, 60J80, 60F15
Shizan Fang, Bo Wu
Electron. Commun. Probab. 22, 1-13, (2017) DOI: 10.1214/17-ECP51
KEYWORDS: damped gradient, Martingale representation, Ricci curvature, spectral gap, small time behaviour, 58J60, 60H07, 60J60
Moumanti Podder, Joel Spencer
Electron. Commun. Probab. 22, 1-16, (2017) DOI: 10.1214/17-ECP47
KEYWORDS: Galton-Watson trees, almost sure theory, first order logic, 05C20‎, 60F20
Erik I. Broman, Johan Jonasson, Johan Tykesson
Electron. Commun. Probab. 22, 1-8, (2017) DOI: 10.1214/17-ECP52
KEYWORDS: fractal models, Boolean models, coverage, 60K35
Chuan Qin, Ben Morris
Electron. Commun. Probab. 22, 1-7, (2017) DOI: 10.1214/17-ECP3955
KEYWORDS: random-to-random shuffle, mixing time, non-Markovian coupling, 60J10
Mikołaj J. Kasprzak, Andrew B. Duncan, Sebastian J. Vollmer
Electron. Commun. Probab. 22, 1-8, (2017) DOI: 10.1214/17-ECP54
KEYWORDS: Stein’s method, Donsker’s theorem, diffusion approximations, 60B10, 60F17, 60J60, 60J65, 60E05
Mingshang Hu, Shige Peng, Yongsheng Song
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP53
KEYWORDS: $G$-normal distribution, Stein type characterization, $g$-expectation, 35K55, 60A05, 60E05
Yinshan Chang
Electron. Commun. Probab. 22, 1-9, (2017) DOI: 10.1214/17-ECP55
KEYWORDS: capacity, range of simple random walks, 60J10
Deepan Basu, Artem Sapozhnikov
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP56
KEYWORDS: Incipient infinite cluster, percolation, Criticality, quasi-multiplicativity, Slab, 60K35, 82B27, 82B43
Nathanaël Berestycki
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP58
KEYWORDS: Gaussian multiplicative chaos, Gaussian free field, Thick points, Liouville quantum gravity, 60K37, 60J67, 60J65
Emmanuel Rio
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP57
KEYWORDS: Tchebichef-Cantelli’s inequality, Bernstein’s inequality, Bennett’s inequality, Fuk-Nagaev’s inequality, Rosenthal’s inequality, Martingales, 60E15
János Engländer, Yuval Peres
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP60
KEYWORDS: Branching random walk, Catalytic branching, obstacles, critical branching, subcritical branching, random environment, Spine, leftmost particle, Change of measure, Optimal survival strategy, Primary: 60J80, Secondary: 60J10
Joshua Rosenberg
Electron. Commun. Probab. 22, 1-14, (2017) DOI: 10.1214/17-ECP61
KEYWORDS: frog model, transience, birth-death process, Poisson process, Brownian motion, 60J65, 60J80, 60K35
Johannes Ruf
Electron. Commun. Probab. 22, 1-5, (2017) DOI: 10.1214/17-ECP64
KEYWORDS: local martingale, continuous-time, discrete-time, 60G42, 60G44
Afonso S. Bandeira, Asad Lodhia, Philippe Rigollet
Electron. Commun. Probab. 22, 1-7, (2017) DOI: 10.1214/17-ECP59
KEYWORDS: statistics, Random matrix theory, 60B20, 62H20
Nicolas Champagnat, Denis Villemonais
Electron. Commun. Probab. 22, 1-7, (2017) DOI: 10.1214/17-ECP63
KEYWORDS: quasi-stationary distribution, $Q$-process, uniform exponential mixing property, conditional ergodic theorem, 60J25, 37A25, 60B10
Eija Laukkarinen
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP65
KEYWORDS: Lévy process, Malliavin calculus, interpolation, 60G51, 60H07
Noé Cuneo, Christophe Poquet
Electron. Commun. Probab. 22, 1-8, (2017) DOI: 10.1214/17-ECP62
KEYWORDS: Subgeometric ergodicity, chains of rotors, NA
Jan Seidler, František Žák
Electron. Commun. Probab. 22, 1-13, (2017) DOI: 10.1214/17-ECP67
KEYWORDS: stochastic approximation, stochastic parabolic problems, variational solutions, 60H15, 62L20
Raphaël Butez
Electron. Commun. Probab. 22, 1-11, (2017) DOI: 10.1214/17-ECP68
KEYWORDS: large deviations, Coulomb gases, Biorthogonal ensembles, 60F10, 60B20
Xue-Mei Li
Electron. Commun. Probab. 22, 1-15, (2017) DOI: 10.1214/17-ECP69
KEYWORDS: Malliavin calculus, pinned path spaces, loop spaces, integration by parts, Poincaré inequality, 60D05, 60B05, 60H07, 58A12, 58J65, 58B99
Andrey Pilipenko
Electron. Commun. Probab. 22, 1-9, (2017) DOI: 10.1214/17-ECP66
KEYWORDS: excited random walks, excited Brownian motion, invariance principle, 60K35, 60K37, 60F17
Jingyu Huang
Electron. Commun. Probab. 22, 1-6, (2017) DOI: 10.1214/17-ECP71
KEYWORDS: Stochastic heat equation, measure initial data, Lévy bridge, 60H15, 35R60, 60G60
Nick Simm
Electron. Commun. Probab. 22, 1-11, (2017) DOI: 10.1214/17-ECP75
KEYWORDS: real Ginibre matrices, products, Pfaffians, real eigenvalues, asymptotics, 15B52, 60B20
Jiawei Chang, Nick Duffield, Hao Ni, Weijun Xu
Electron. Commun. Probab. 22, 1-11, (2017) DOI: 10.1214/17-ECP70
KEYWORDS: signature, inversion, monotone paths, 60
Yan Shuo Tan
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP73
KEYWORDS: energy minimization, frame potentials, Welch bounds, 60E15, 52A40, 15A69
David Jaures Fotsa–Mbogne, Etienne Pardoux
Electron. Commun. Probab. 22, 1-14, (2017) DOI: 10.1214/17-ECP74
KEYWORDS: Nonlinear filtering, singular observation noise, 60H10, 60H15
Jonathan Hermon
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/17-ECP72
KEYWORDS: Cutoff, Ramanujan graphs, degree inflation, 60B10, 60J10, 05C12, 05C81
Xinpeng Li, Falei Wang
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/17-ECP78
KEYWORDS: $G$-Brownian motion, lower capacity, strict comparison theorem, 60H10, 60H30
Joe P. Chen
Electron. Commun. Probab. 22, 1-13, (2017) DOI: 10.1214/17-ECP82
KEYWORDS: Exclusion process, moving particle lemma, interchange process, electric network, Effective resistance, 05C81, 28A80, 31C20, 60K35, 82C22
Batı Şengül
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP81
KEYWORDS: coalescent processes, Regularly varying coalescents, cherries, caterpillars, scaling limits, 60J80, 60J99, 60F99
Jingyu Huang, Davar Khoshnevisan
Electron. Commun. Probab. 22, 1-11, (2017) DOI: 10.1214/17-ECP86
KEYWORDS: The stochastic heat equation, Multifractals, Hausdorff dimension, Packing dimension, 60H15, 35R60, 60K37
Balázs Ráth, Daniel Valesin
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP80
KEYWORDS: interacting particle systems, voter model, percolation, 60K35, 82C22, 82B43
Michael R. Tehranchi
Electron. Commun. Probab. 22, 1-7, (2017) DOI: 10.1214/17-ECP89
KEYWORDS: Gaussian measure, Correlation inequality, Log-concavity, 60E15, 28C20
Raphaël Cerf, Joseba Dalmau
Electron. Commun. Probab. 22, 1-6, (2017) DOI: 10.1214/17-ECP76
KEYWORDS: Perron Frobenius, eigenvector, Markov chain, 15A18‎, 60J10
Eduardo Abi Jaber
Electron. Commun. Probab. 22, 1-15, (2017) DOI: 10.1214/17-ECP88
KEYWORDS: Stochastic differential equation, jumps, Semimartingale, stochastic invariance, 93E03, 60H10, 60J75
Olivier Marchal, Julyan Arbel
Electron. Commun. Probab. 22, 1-14, (2017) DOI: 10.1214/17-ECP92
KEYWORDS: sub-Gaussian, Beta distribution, Dirichlet distribution, concentration inequality, transport inequality, Log-Sobolev inequality, 97K50
Peter Parczewski
Electron. Commun. Probab. 22, 1-13, (2017) DOI: 10.1214/17-ECP91
KEYWORDS: Functional limit theorem, fractional Brownian motion, Wiener Chaos, Wick product, discrete stochastic calculus, 60H05, 60F17, 60G22
Neng-Yi Wang
Electron. Commun. Probab. 22, 1-7, (2017) DOI: 10.1214/17-ECP90
KEYWORDS: random scan Gibbs sampler, Coupling method, Wasserstein metric, Dobrushin’s uniqueness condition, 60E15, 65C05
Thomas McMurray Price
Electron. Commun. Probab. 22, 1-8, (2017) DOI: 10.1214/17-ECP84
KEYWORDS: heat kernel, Cayley graph, 60J27
Asgar Jamneshan, Michael Kupper, Peng Luo
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/17-ECP87
KEYWORDS: multidimensional quadratic BSDEs, BMO martingales, 60H10, 60H30
Vladas Sidoravicius, Laurent Tournier
Electron. Commun. Probab. 22, 1-9, (2017) DOI: 10.1214/17-ECP83
KEYWORDS: Interacting particle system, ballistic annihilation, 60K35
Arturo Valdivia
Electron. Commun. Probab. 22, 1-5, (2017) DOI: 10.1214/17-ECP79
KEYWORDS: Enlargement of filtrations, Long range dependence, superposition of Ornstein-Uhlenbeck processes, Volterra process, 60G22, 60H20, 60J65, 91G99
Yier Lin, Bastien Mallein
Electron. Commun. Probab. 22, 1-8, (2017) DOI: 10.1214/17-ECP93
KEYWORDS: beta coalescent, central limit theorem, Continuous-state branching process, Lamperti transform, 60J70, 60F05, 92D25
Van Hao Can, Viet-Hung Pham
Electron. Commun. Probab. 22, 1-12, (2017) DOI: 10.1214/17-ECP96
KEYWORDS: Cramér type moderate deviation, Curie-Weiss model, 60F10, 82B20
Johannes Alt
Electron. Commun. Probab. 22, 1-13, (2017) DOI: 10.1214/17-ECP97
KEYWORDS: Local law, Dyson equation, square-root edge, cubic cusp, general variance profile, 60B20, 15B52
Jim Pitman, Yuri Yakubovich
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/17-ECP95
KEYWORDS: partially exchangeable random partitions, exchangeable random partitions, ergodic theorem, stationary distribution, shifted partitions, 60G09, 37A30, 60J10, 60B99
Jacob van den Berg, Pierre Nolin
Electron. Commun. Probab. 22, 1-15, (2017) DOI: 10.1214/17-ECP98
KEYWORDS: frozen percolation, Near-critical percolation, Self-organized criticality, 60K35, 82B43
Denis Bell, David Nualart
Electron. Commun. Probab. 22, 1-13, (2017) DOI: 10.1214/17-ECP99
KEYWORDS: multiple stochastic integrals, Rosenblatt process, Hermite process, Skorohod integral, central and noncentral limit theorems., 60H05, 60H07, 60F05, 65G18
Fraser Daly
Electron. Commun. Probab. 22, 1-10, (2017) DOI: 10.1214/17-ECP101
KEYWORDS: compound Poisson approximation, Stein’s method, Kolmogorov distance, Runs, reliability, 62E17, 60F05, 62E10
Steven N. Evans, Anton Wakolbinger
Electron. Commun. Probab. 22, 1-13, (2017) DOI: 10.1214/17-ECP77
KEYWORDS: Binary tree, tail $\sigma $-field, Doob–Martin kernel, Harmonic function, bridge, exchangeability, 60J50, 60J10, 68W40
Jian Ding, Subhajit Goswami
Electron. Commun. Probab. 22, 1-14, (2017) DOI: 10.1214/17-ECP102
KEYWORDS: first passage percolation (FPP), branching random walk (BRW), Gaussian free field (GFF), Liouville quantum gravity (LQG), 60G15
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