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Articles
Svante Janson, Lutz Warnke
Electron. J. Probab. 23, 1-25, (2018) DOI: 10.1214/17-EJP52
KEYWORDS: random graph, percolation, phase transition, critical probability, critical window, 05C80, 60C05, 82B43, 60K35
Florian Bouguet, Bertrand Cloez
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/17-EJP130
KEYWORDS: Markov chain, long-time behavior, piecewise-deterministic Markov process, Ornstein-Uhlenbeck process, asymptotic pseudotrajectory, 60J10, 60J25, 60F05
Ross G Pinsky
Electron. J. Probab. 23, 1-17, (2018) DOI: 10.1214/17-EJP126
KEYWORDS: Dickman function, generalized Dickman distribution, domain of attraction, normalized sums of independent random variables, 60F05
Nicolas Privault, Grzegorz Serafin
Electron. J. Probab. 23, 1-34, (2018) DOI: 10.1214/17-EJP132
KEYWORDS: independent sequences, uniform distribution, Stein-Chen method, Malliavin calculus, covariance representations, Clark-Ocone formula, 60F05, 60G57, 60H07
Nathan Ross, Yuting Wen
Electron. J. Probab. 23, 1-35, (2018) DOI: 10.1214/17-EJP101
KEYWORDS: Scaling limit, Continuum random tree, Gromov-Hausdorff-Prokhorov topology, generalized Pólya urn, line-breaking, 60C05, 05C10
Kenneth S. Alexander, Quentin Berger
Electron. J. Probab. 23, 1-48, (2018) DOI: 10.1214/18-EJP136
KEYWORDS: pinning model, Renewal process, Quenched disorder, localization transition, disorder relevance, 60K35, 60K05, 60K37, 82B27, 82B44
Gaultier Lambert
Electron. J. Probab. 23, 1-33, (2018) DOI: 10.1214/17-EJP120
KEYWORDS: unitary invariant ensembles, asymptotics of Christoffel-Darboux kernels, central limit theorem, Universality, sine process, 60B20, 60G55, 60F05, 42C05, 41A60
Nicolas Juillet
Electron. J. Probab. 23, 1-29, (2018) DOI: 10.1214/18-EJP138
KEYWORDS: Convex order, peacocks, Martingales, Couplings, Optimal transport, 60E15, 60G44, 60B10, 49M25, 60G48, 60J25
Julian Grote, Elisabeth Werner
Electron. J. Probab. 23, 1-21, (2018) DOI: 10.1214/17-EJP131
KEYWORDS: Random polytopes, approximation, Convex bodies, 52A22, 60D05
Alexey Kuznetsov, Mateusz Kwaśnicki
Electron. J. Probab. 23, 1-29, (2018) DOI: 10.1214/18-EJP134
KEYWORDS: Stable process, first exit time, Eigenfunctions, semigroup, resolvent, double sine function, 60G52, 60J35
Krzysztof Bogdan, Zbigniew Palmowski, Longmin Wang
Electron. J. Probab. 23, 1-19, (2018) DOI: 10.1214/18-EJP133
KEYWORDS: Yaglom limit, Stable process, Lipschitz cone, quasi-stationary measure, Green function, Martin kernel, Excursions, 31B05, 60J45, 60F05, 60G51
F. den Hollander, M. Mandjes, A. Roccaverde, N.J. Starreveld
Electron. J. Probab. 23, 1-26, (2018) DOI: 10.1214/18-EJP135
KEYWORDS: random graph, Canonical ensemble, microcanonical ensemble, constraint, ensemble equivalence, Relative entropy, graphon, variational representation, 05C80, 60K35, 82B20
Franziska Kühn
Electron. J. Probab. 23, 1-18, (2018) DOI: 10.1214/18-EJP142
KEYWORDS: Feller process, Martingale problem, Stochastic differential equation, stable-like process, unbounded coefficients, 60J25, 60G44, 60J75, 60H10, 60G51
Xia Chen, Yaozhong Hu, Jian Song, Xiaoming Song
Electron. J. Probab. 23, 1-39, (2018) DOI: 10.1214/18-EJP139
KEYWORDS: Lyapunov exponent, Gaussian noise, $\alpha $-stable process, fractional parabolic Anderson model, Feynman-Kac representation, 60F10, 60H15, 60G15, 60G52
Holger Dette, Dominik Tomecki, Martin Venker
Electron. J. Probab. 23, 1-23, (2018) DOI: 10.1214/18-EJP141
KEYWORDS: random moment sequences, Universality, CLT, Large deviations principles, Stieltjes transform, Free probability, 60F05, 30E05, 60B20
Elchanan Mossel, Joe Neeman
Electron. J. Probab. 23, 1-17, (2018) DOI: 10.1214/18-EJP145
KEYWORDS: boolean function, Noise stability, functional inequality, 60
Jonathan Hermon
Electron. J. Probab. 23, 1-40, (2018) DOI: 10.1214/18-EJP144
KEYWORDS: frog model, epidemic spread, rumor spread, Simple random walks, Cover times, susceptibility, trees, 60K35, 05C81
Debapratim Banerjee
Electron. J. Probab. 23, 1-28, (2018) DOI: 10.1214/17-EJP128
KEYWORDS: Stochastic block model, planted partition model, threshold, phase transition, Community detection, random network, linear statistics, 05C80
Francois Baccelli, Mir-Omid Haji-Mirsadeghi
Electron. J. Probab. 23, 1-25, (2018) DOI: 10.1214/17-EJP123
KEYWORDS: point process, stationarity, Palm probability, point-shift, point-map, allocation rule, Mass transport principle, dynamical system, stable manifold, 37C85, 60G10, 60G55, 60G57
Li-Juan Cheng, Anton Thalmaier
Electron. J. Probab. 23, 1-27, (2018) DOI: 10.1214/18-EJP147
KEYWORDS: evolution system of measures, geometric flow, inhomogeneous diffusion, semigroup, supercontractivity, hypercontractivity, ultraboundedness, 60J60, 58J65, 53C44
Francesca Collet, Richard C. Kraaij
Electron. J. Probab. 23, 1-45, (2018) DOI: 10.1214/17-EJP117
KEYWORDS: Moderate deviations, interacting particle systems, Mean-field interaction, quenched random environment, Hamilton–Jacobi equation, Perturbation theory for Markov processes, 60F10, 60J27, 60K35, 82C44
Ben Hambly, Weiye Yang
Electron. J. Probab. 23, 1-30, (2018) DOI: 10.1214/18-EJP148
KEYWORDS: SPDE, heat equation, Fractal, Dirichlet form, 28A80, 60H15
Yan-Xia Ren, Renming Song, Rui Zhang
Electron. J. Probab. 23, 1-33, (2018) DOI: 10.1214/18-EJP146
KEYWORDS: Superprocesses, Williams decomposition, spatially dependent branching mechanism, genealogy, 60J25, 60G55, 60J80
Sayan Banerjee, Wilfrid Kendall
Electron. J. Probab. 23, 1-43, (2018) DOI: 10.1214/18-EJP150
KEYWORDS: Brownian motion, coupling, elliptic diffusion, faithful coupling, Heisenberg group, Hypoelliptic diffusion, immersion coupling, Kolmogorov diffusion, Lévy stochastic area, Markovian coupling, monomial, nilpotent diffusion, parabolic Hörmander condition, Reflection coupling, Stochastic differential equation, Stratonovich integral, total variation distance, 60J60, 60J65
Jonathan Hermon, Yuval Peres
Electron. J. Probab. 23, 1-34, (2018) DOI: 10.1214/18-EJP154
KEYWORDS: reversible Markov chains, Simple random walk, mixing time, cutoff, pre-cutoff, perturbations, sensitivity of cutoff, separation cutoff, counter-example, 60J10
Megan Bernstein
Electron. J. Probab. 23, 1-28, (2018) DOI: 10.1214/18-EJP140
KEYWORDS: Mixing-time, character polynomial, pre-cutoff, character theory, symmetric groups, Random walks, likelihood order, 60J10, 05E10
Martin P.W. Zerner
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP152
KEYWORDS: autoregressive process, branching process, excited random walk, frog process, immigration, Lyapunov exponent, max-autoregressive process, Product of random matrices, random affine recursion, random difference equation, random environment, random exchange process, recurrence, super-heavy tail, transience, 60J05, 60J80, 37H10
Arnaud Debussche, Hendrik Weber
Electron. J. Probab. 23, 1-16, (2018) DOI: 10.1214/18-EJP143
KEYWORDS: nonlinear Schrödinger equation, spatial white noise, renormalization, 60H15, 35Q55
Paul Krühner, Martin Larsson
Electron. J. Probab. 23, 1-23, (2018) DOI: 10.1214/18-EJP156
KEYWORDS: Affine processes, compact state space, Markov chains, 60J25, 60J27, 60J75
Erik Bates
Electron. J. Probab. 23, 1-45, (2018) DOI: 10.1214/18-EJP158
KEYWORDS: Directed polymers, long-range polymer, Localization, Free energy, phase transition, 60K37, 82B26, 82B44, 82D60
Ellen Powell
Electron. J. Probab. 23, 1-26, (2018) DOI: 10.1214/18-EJP157
KEYWORDS: Gaussian multiplicative chaos, Random measures, Liouville measure, Gaussian free field, 60G57, 60G60
Alex Zhai
Electron. J. Probab. 23, 1-22, (2018) DOI: 10.1214/18-EJP149
KEYWORDS: Random walks, Cover times, Gaussian free fields, isomorphism theorems, 60J10, 60G60, 60G15
Anirban Basak, Nicholas Cook, Ofer Zeitouni
Electron. J. Probab. 23, 1-51, (2018) DOI: 10.1214/18-EJP162
KEYWORDS: random permutation, Logarithmic potential, singular values, Stieltjes transform, local laws, 15B52, 15A18‎, 60B10, 60B20
Svante Janson, Nicolas Pouyanne
Electron. J. Probab. 23, 1-13, (2018) DOI: 10.1214/17-EJP80
KEYWORDS: Pólya urns, Pólya processes, moment convergence, 60C05
Ronen Eldan, Renan Gross
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP159
KEYWORDS: Mean field, large deviation, Gibbs distribution, Ising model, Gaussian width, sparse random graphs, 60K35, 60F10, 82B20, 05C80
Christian Döbler, Anna Vidotto, Guangqu Zheng
Electron. J. Probab. 23, 1-27, (2018) DOI: 10.1214/18-EJP168
KEYWORDS: multivariate Poisson functionals, multiple Wiener-Itô integrals, fourth moment theorems, Carré du champ operator, Gaussian approximation, Stein’s method, Exchangeable pairs, Peccati-Tudor theorem, 60F05, 60H07, 60H05
David Coupier
Electron. J. Probab. 23, 1-33, (2018) DOI: 10.1214/17-EJP115
KEYWORDS: Coalescence, directed forest, Geodesic, geometric random tree, percolation, semi-infinite and bi-infinite path, Stochastic geometry, 60D05
Hans Chaumont, Christian Noack
Electron. J. Probab. 23, 1-19, (2018) DOI: 10.1214/18-EJP163
KEYWORDS: Directed polymer, exactly solvable models, integrable models, Burke’s theorem, Partition function, 60K35, 60K37, 82B23, 82D60
Line C. Le Goff, Olivier Raimond
Electron. J. Probab. 23, 1-38, (2018) DOI: 10.1214/18-EJP167
KEYWORDS: vertex reinforced random walk, non-backtracking random walks, complete graph, path formation, 60G99, 60K35, 91C99
Yoshihiro Abe
Electron. J. Probab. 23, 1-41, (2018) DOI: 10.1214/18-EJP164
KEYWORDS: Local times, Simple random walk, trees, derivative martingale, random multiplicative cascade measure, 60J55, 60J10, 60G70
Stephan Gufler
Electron. J. Probab. 23, 1-42, (2018) DOI: 10.1214/18-EJP153
KEYWORDS: ‎ultrametric, jointly exchangeable array, marked metric measure space, dust, tree-valued Fleming-Viot process, lookdown model, $\Xi $-coalescent, 60G09, 60J25, 60K35, 92D10
Stephan Gufler
Electron. J. Probab. 23, 1-58, (2018) DOI: 10.1214/18-EJP166
KEYWORDS: lookdown model, tree-valued Fleming-Viot process, evolving coalescent, $\Xi $-coalescent, (marked) metric measure space, (marked) Gromov-weak topology, Gromov-Hausdorff-Prohorov topology, 60K35, 60J25, 60G09, 92D10
Nicholas F. Travers
Electron. J. Probab. 23, 1-60, (2018) DOI: 10.1214/18-EJP155
KEYWORDS: excited random walk, cookie random walk, Self-interacting random walk, Markovian environment, random environment, 60K35, 60K37, 60J80
C. Bahadoran, T. Bodineau
Electron. J. Probab. 23, 1-44, (2018) DOI: 10.1214/18-EJP137
KEYWORDS: totally asymmetric exclusion process, Site disorder, flux function, plateau, phase transition, renormalization, Homogenization‎, 60K35, 60K37, 82C22
Vlad Bally, Lucia Caramellino, Guillaume Poly
Electron. J. Probab. 23, 1-51, (2018) DOI: 10.1214/18-EJP174
KEYWORDS: central limit theorems, abstract Malliavin calculus, integration by parts, regularizing results, 60F05, 60B10, 60H07
Pierre Rousselin
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/18-EJP170
KEYWORDS: Galton-Watson tree, Random walk, harmonic measure, Hausdorff dimension, 60J50, 60J80, 37A50, 60J05, 60J10
Wai-Tong (Louis) Fan, Sebastien Roch
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP165
KEYWORDS: Markov models on trees, reconstruction problem, Concentration inequalities, consistent estimation, information-theoretic bounds, applications to phylogenetics, 60J25, 60J80, 62B10, 62M05
Kartick Adhikari
Electron. J. Probab. 23, 1-21, (2018) DOI: 10.1214/18-EJP176
KEYWORDS: hole probability, $\beta $-ensembles, Determinantal point processes, weighted minimum energy, weighted equilibrium measure, balayage measure, weighted Fekete points, 60G55
Matthias Birkner, Huili Liu, Anja Sturm
Electron. J. Probab. 23, 1-44, (2018) DOI: 10.1214/18-EJP175
KEYWORDS: diploid population model, diploid ancestral process, coalescent with simultaneous multiple collisions, 60J17, 92D10, 60J70, 92D25
Hanwu Li, Shige Peng, Yongsheng Song
Electron. J. Probab. 23, 1-20, (2018) DOI: 10.1214/18-EJP173
KEYWORDS: $g$-expectation, $\mathbb{\hat {E}} ^{g}$-supermartingale, $\mathbb{\hat {E}} ^{g}$-supermartingale decomposition theorem, 60H10, 60H30
Patrik L. Ferrari, Alessandra Occelli
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP172
KEYWORDS: KPZ growth models, Exclusion process, GOE Tracy-Widom distribution, Universality, 82C22, 60K35, 82B23, 60B20
Dayue Chen, Yueyun Hu, Shen Lin
Electron. J. Probab. 23, 1-17, (2018) DOI: 10.1214/18-EJP179
KEYWORDS: electric networks, Galton–Watson tree, random conductance, 60F05, 60J80
Julian Gold
Electron. J. Probab. 23, 1-41, (2018) DOI: 10.1214/18-EJP178
KEYWORDS: percolation, Cheeger constant, Isoperimetry, 60K35, 82B43, 52B60
Erich Baur, Loïc Richier
Electron. J. Probab. 23, 1-43, (2018) DOI: 10.1214/18-EJP169
KEYWORDS: uniform infinite half-planar quadrangulation, Brownian half-plane, Kesten’s tree, Multi-type Galton-Watson tree, looptree, Boltzmann map, 05C80, 05C81, 05C05, 60J80, 60F05
Noé Cuneo, Jean-Pierre Eckmann, Martin Hairer, Luc Rey-Bellet
Electron. J. Probab. 23, 1-28, (2018) DOI: 10.1214/18-EJP177
KEYWORDS: non-equilibrium statistical mechanics, networks of oscillators, geometric ergodicity, Hörmander’s condition, Lyapunov functions, 82C05, 60H10, 34C15, 60B10
Ilya Chevyrev, Marcel Ogrodnik
Electron. J. Probab. 23, 1-16, (2018) DOI: 10.1214/18-EJP184
KEYWORDS: Markovian rough paths, support in Hölder topology, Hörmander’s theorem, 60H10, 60G17
Reza Gheissari, Eyal Lubetzky
Electron. J. Probab. 23, 1-30, (2018) DOI: 10.1214/18-EJP180
KEYWORDS: Potts model, Swendsen–Wang, Mixing times, Surface tension, boundary conditions, 60K35, 82B20, 82B27, 82C20
Michael B. Marcus, Jay Rosen
Electron. J. Probab. 23, 1-47, (2018) DOI: 10.1214/18-EJP183
KEYWORDS: Permanental processes, subgaussian processes, moduli of continuity of permanental processes, permanental processes at infinity, 60K99, 60G15, 60G17, 60G99
Aser Cortines, Julian Gold, Oren Louidor
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/18-EJP181
KEYWORDS: K-process, trap models, Aging, Gaussian free field, random walk in a random potential, dynamical freezing, spin-glasses, 60K37, 82C44, 60G57, 60G70, 60G15, 82D30
Jim Pitman, Wenpin Tang
Electron. J. Probab. 23, 1-35, (2018) DOI: 10.1214/18-EJP185
KEYWORDS: arcsine law, argmin process, Brownian extrema, Feller semigroup, Brownian excursion theory, jump process, Lévy process, Lévy system, Markov property, space-time shift process, Path decomposition, Random walks, renewal property, sample path property, Stable process, stationary process, 60G50, 60G51, 60J65
Juhan Aru, Avelio Sepúlveda
Electron. J. Probab. 23, 1-35, (2018) DOI: 10.1214/18-EJP182
KEYWORDS: Gaussian free field, Local sets, two-valued local sets, Conformal Loop Ensemble, Schramm-Loewner evolution, Level lines, level set percolation, Lévy transform, XOR-Ising, 60G15, 60G60, 60D05, 60G60, 60K35, 60J67
Jian Ding, Ofer Zeitouni, Fuxi Zhang
Electron. J. Probab. 23, 1-20, (2018) DOI: 10.1214/18-EJP189
KEYWORDS: Liouville quantum gravity, Liouville Brownian motion, Liouville heat kernel, 60G60, 60G15
Ioan Manolescu, Aran Raoufiï
Electron. J. Probab. 23, 1-25, (2018) DOI: 10.1214/17-EJP86
KEYWORDS: Random-cluster model, Potts model, Sharp phase transition, percolation models, 60K35
Panki Kim, Ante Mimica
Electron. J. Probab. 23, 1-45, (2018) DOI: 10.1214/18-EJP190
KEYWORDS: Dirichlet heat kernel, Transition density, Laplace exponent, Lévy measure, subordinator, Subordinate Brownian motion, 60J35, 60J50, 60J75, 47G20
Dan Crisan, Christopher Janjigian, Thomas G. Kurtz
Electron. J. Probab. 23, 1-29, (2018) DOI: 10.1214/18-EJP186
KEYWORDS: Stochastic partial differential equations, interacting particle systems, diffusions with reflecting boundary, stochastic Allen-Cahn equation, Euclidean quantum field theory equation with quartic interaction, 60H15, 60H35, 60B12, 60F17, 60F25, 60H10, 35R60, 93E11
Ewain Gwynne, Jason Miller
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP161
KEYWORDS: Liouville quantum gravity, quantum disk, Schramm-Loewner evolution, 60J67, 60D05
Emmanuel Schertzer, Florian Simatos
Electron. J. Probab. 23, 1-43, (2018) DOI: 10.1214/18-EJP151
KEYWORDS: Crump-Mode-Jagers branching processes, Contour processes, Snakes, Bellman-Harris processes, scaling limits, 60J80, 60J85, 60J70, 60J75
Franziska Flegel
Electron. J. Probab. 23, 1-43, (2018) DOI: 10.1214/18-EJP160
KEYWORDS: Random conductance model, Dirichlet spectrum, Random walk, Extreme value analysis, path arguments, percolation, Borel-Cantelli, variational formula, 47B80, 47A75, 60J27
Ross A. Maller, David M. Mason
Electron. J. Probab. 23, 1-37, (2018) DOI: 10.1214/18-EJP193
KEYWORDS: vector-valued Lévy Process, matrix-valued Lévy process, small time convergence, matrix normalisation, stochastic compactness, domain of attraction, Quadratic Variation, 62E17, 62B15, 62G05
Per von Soosten, Simone Warzel
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP197
KEYWORDS: Dyson Brownian motion, localization transition, local statistics, ultrametric ensemble, 15A52, 47B80
Jonathan A. Chetwynd-Diggle, Alison M. Etheridge
Electron. J. Probab. 23, 1-36, (2018) DOI: 10.1214/18-EJP191
KEYWORDS: spatial Lambda-Fleming-Viot model, Superprocess, stable branching process, scaling limits, 60F05, 60G57, 60J25, 60J68, 60J80, 60G51, 60G55, 60J75, 92D10f
Martina Baar, Anton Bovier
Electron. J. Probab. 23, 1-27, (2018) DOI: 10.1214/18-EJP194
KEYWORDS: adaptive dynamics, canonical equation, large population limit, mutation-selection individual-based model, 60K35, 60J85, 92D25
Amir Dembo, Takashi Kumagai, Chikara Nakamura
Electron. J. Probab. 23, 1-21, (2018) DOI: 10.1214/18-EJP196
KEYWORDS: Markov chain, Total variation, mixing time, Cutoff phenomenon, lamplighter group, heat kernel, fractal graphs, late points, 60J10, 28A80, 35K08
Yan Dolinsky, Benjamin Gottesman
Electron. J. Probab. 23, 1-20, (2018) DOI: 10.1214/18-EJP198
KEYWORDS: Dynkin games, Game options, model uncertainty, Skorokhod embedding, 91A15, 91G20, 91G60
Pierre Patie, Mladen Savov
Electron. J. Probab. 23, 1-101, (2018) DOI: 10.1214/18-EJP202
KEYWORDS: asymptotic analysis, Functional equations, exponential functional, Lévy processes, Wiener-Hopf factorizations, Special functions, intertwining, Bernstein functions, 30D05, 60G51, 60J55, 60E07, 44A60, 33E99
Christian Sadel
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP187
KEYWORDS: Anderson model, Universality, local statistics, 60B20, 82B44, 60H25, 15B52
Benson Au
Electron. J. Probab. 23, 1-48, (2018) DOI: 10.1214/18-EJP205
KEYWORDS: Free probability, Random band matrix, traffic probability, Wigner matrix, 15B52, 46L53, 46L54, 60B20
Rongchan Zhu, Xiangchan Zhu
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/18-EJP207
KEYWORDS: $\Phi _3^4$ model, Dirichlet form, Paracontrolled distributions, Regularity structures, space-time white noise, renormalisation, 60H15, 82C28
Ioanna Nteka
Electron. J. Probab. 23, 1-23, (2018) DOI: 10.1214/18-EJP206
KEYWORDS: symplectic Schur functions, Berele inserion algorithm, 05E05, 05E10, 60J25, 60C05
Christopher H. Joyner, Uzy Smilansky
Electron. J. Probab. 23, 1-37, (2018) DOI: 10.1214/18-EJP199
KEYWORDS: Random matrix theory, Random walks, graph theory, 05C20‎, 05C80, 05C81, 15B52
Tim van de Brug, Federico Camia, Marcin Lis
Electron. J. Probab. 23, 1-17, (2018) DOI: 10.1214/18-EJP200
KEYWORDS: Brownian loop soup, random walk loop soup, conformal invariance, Random field, 82B20, 60G60, 60G18, 82B41
Andreas Galanis, Leslie Ann Goldberg, Kuan Yang
Electron. J. Probab. 23, 1-43, (2018) DOI: 10.1214/18-EJP211
KEYWORDS: uniqueness, infinite regular tree, antiferromagnetic Potts model, 05C99, 60K35, 82B20
Nicos Georgiou, Davar Khoshnevisan, Kunwoo Kim, Alex D. Ramos
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/18-EJP201
KEYWORDS: transient random walks, Hausdorff dimension, recurrent sets, fractal percolation, capacity, 60G50, 60J45, 60J80
Cristina Costantini, Thomas G. Kurtz
Electron. J. Probab. 23, 1-21, (2018) DOI: 10.1214/18-EJP204
KEYWORDS: Oblique reflection, Stochastic differential equation, diffusion process, cusp, boundary singularity, 60J60, 60H10, 60J55, 60G17
Diane Holcomb
Electron. J. Probab. 23, 1-20, (2018) DOI: 10.1214/18-EJP212
KEYWORDS: random matrices, point process, diffusion, Bessel process, large deviations, central limit theorem, 60B20
Andrea Collevecchio, Mark Holmes, Daniel Kious
Electron. J. Probab. 23, 1-32, (2018) DOI: 10.1214/18-EJP208
KEYWORDS: Random walk, Once-reinforced random walk, Galton-Watson tree, Reinforcement, 60K35
Jean-François Delmas, Jean-Stéphane Dhersin, Marion Sciauveau
Electron. J. Probab. 23, 1-36, (2018) DOI: 10.1214/18-EJP213
KEYWORDS: Random binary tree, cost functional, toll function, Brownian excursion, Continuum random tree, 05C05, 60J80, 60F17
Christian Döbler, Nina Gantert, Thomas Höfelsauer, Serguei Popov, Felizitas Weidner
Electron. J. Probab. 23, 1-23, (2018) DOI: 10.1214/18-EJP216
KEYWORDS: frog model, Interacting random walks, recurrence, transience, Branching random walk, percolation, 60J10, 60K35, 60J80
Loïc Richier
Electron. J. Probab. 23, 1-38, (2018) DOI: 10.1214/18-EJP218
KEYWORDS: Random planar maps, Local limits, percolation, Incipient infinite cluster, 05C80, 60K35, 60K37
Alexis Devulder, Nina Gantert, Françoise Pène
Electron. J. Probab. 23, 1-34, (2018) DOI: 10.1214/18-EJP192
KEYWORDS: Random walk, random environment, Collisions, recurrence, transience, 60K37, 60G50
Pierre Del Moral, Aline Kurtzmann, Julian Tugaut
Electron. J. Probab. 23, 1-30, (2018) DOI: 10.1214/18-EJP188
KEYWORDS: Concentration inequalities, non asymptotic exponential stability, Lyapunov exponents, extended Kalman-Bucy filter, Riccati equation, 93C55, 93D20, 93E11, 60M20, 60G25
S.G. Bobkov, G.P. Chistyakov, F. Götze
Electron. J. Probab. 23, 1-22, (2018) DOI: 10.1214/18-EJP195
KEYWORDS: Sudakov’s typical distributions, Normal approximation, 60E, 60F
Valentin Féray
Electron. J. Probab. 23, 1-65, (2018) DOI: 10.1214/18-EJP222
KEYWORDS: dependency graphs, combinatorial central limit theorems, Cumulants, Spanning trees, Random graphs, Random permutations, simple exclusion process, Markov chains, 60F05, 60C05, 05C80, 82C05, 60J10
Airam Blancas, Jean-Jil Duchamps, Amaury Lambert, Arno Siri-Jégousse
Electron. J. Probab. 23, 1-27, (2018) DOI: 10.1214/18-EJP219
KEYWORDS: Lambda-coalescent, Exchangeable, Partition, coming down from infinity, Random tree, Gene tree, Population genetics, Species tree, Phylogenetics, Evolution, 60G09, 60G57, 60J35, 60J75, 92D10, 92D15
Claudio Landim, Michail Loulakis, Mustapha Mourragui
Electron. J. Probab. 23, 1-34, (2018) DOI: 10.1214/18-EJP220
KEYWORDS: metastability, Markov chains, trace process, model reduction, 60K35, 60J27, 82C22
Hugo Duminil-Copin, Jhih-Huang Li, Ioan Manolescu
Electron. J. Probab. 23, 1-70, (2018) DOI: 10.1214/18-EJP223
KEYWORDS: FK random-cluster model, Universality, Isoradial graphs, quantum FK random-cluster model, RSW, Exponential decay, 60, 82
Frank den Hollander, Francesca R. Nardi, Siamak Taati
Electron. J. Probab. 23, 1-65, (2018) DOI: 10.1214/18-EJP210
KEYWORDS: interacting particle systems, bipartite graphs, potential theory, metastability, isoperimetric problems, 60C05, 60K35, 60K37, 82C27
Miraine Dávila Felipe, Amaury Lambert
Electron. J. Probab. 23, 1-30, (2018) DOI: 10.1214/18-EJP221
KEYWORDS: space-time reversal, Excursion measure, Duality, Ray-Knight theorem, Williams decomposition, Lévy process conditioned to stay positive, Esty transform, 60G51, 60G17, 60J55, 60J80
Raphaël Rossignol, Marie Théret
Electron. J. Probab. 23, 1-42, (2018) DOI: 10.1214/18-EJP214
KEYWORDS: first passage percolation, Maximal flow, Minimal cutset, continuity, 60K35, 82B20
Larry Goldstein
Electron. J. Probab. 23, 1-13, (2018) DOI: 10.1214/18-EJP227
KEYWORDS: sorting, Complexity, distributional approximation, 60F05, 68Q25
Octavio Arizmendi, Takahiro Hasebe
Electron. J. Probab. 23, 1-36, (2018) DOI: 10.1214/18-EJP224
KEYWORDS: free Lévy processes, multiplicative convolutions, Boolean independence, limit theorems, small times, 46L54, 46L53, 60E07, 60F05
Anirban Basak, Rick Durrett, Eric Foxall
Electron. J. Probab. 23, 1-42, (2018) DOI: 10.1214/18-EJP229
KEYWORDS: Interacting particle system, diffusion limit, SIS model, 60K35, 60F17
Stéphane Benoist
Electron. J. Probab. 23, 1-16, (2018) DOI: 10.1214/18-EJP232
KEYWORDS: SLE, Natural parametrization, GFF, Gaussian free field, LQG, 60J67, 60K35
Erin Beckman, Emily Dinan, Rick Durrett, Ran Huo, Matthew Junge
Electron. J. Probab. 23, 1-19, (2018) DOI: 10.1214/18-EJP215
KEYWORDS: frog model, shape theorem, continuum percolation, 60J25
Maximilian Nitzschner
Electron. J. Probab. 23, 1-21, (2018) DOI: 10.1214/18-EJP226
KEYWORDS: Gaussian free field, disconnection, Level-set percolation, Entropic repulsion, 60F10, 60G15, 60K35, 82B43
Theodoros Assiotis
Electron. J. Probab. 23, 1-81, (2018) DOI: 10.1214/18-EJP236
KEYWORDS: integrable probability, random surface growth, Determinantal point processes, 60G
Olivier Durieu, Yizao Wang
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP235
KEYWORDS: random sup-measure, random closed set, stationary process, point process convergence, regular variation, long-range dependence, 60G70, 60F17, 60G57
Daniel Ahlberg, Rangel Baldasso
Electron. J. Probab. 23, 1-21, (2018) DOI: 10.1214/18-EJP233
KEYWORDS: Noise sensitivity, Voronoi percolation, conservative perturbations, 60K35, 82B43, 60G55
Jieliang Hong
Electron. J. Probab. 23, 1-45, (2018) DOI: 10.1214/18-EJP231
KEYWORDS: Super-Brownian motion, Local time, semilinear elliptic equation, 60J55, 60J68, 35J61
Nicholas Cook, Walid Hachem, Jamal Najim, David Renfrew
Electron. J. Probab. 23, 1-61, (2018) DOI: 10.1214/18-EJP230
KEYWORDS: Large random matrix, non-hermitian matrix, variance profile, Empirical spectral distribution, 15B52, 15A18‎, 60B20
Guillaume Dubach
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/18-EJP234
KEYWORDS: complex Ginibre ensemble, Conditional independence, Power maps, radially symmetric determinantal point process, Gaussian free field, Beta ensembles, 60B20, 15B52
Amarjit Budhiraja, Paul Dupuis, Arnab Ganguly
Electron. J. Probab. 23, 1-33, (2018) DOI: 10.1214/18-EJP228
KEYWORDS: large deviations, Variational representations, stochastic averaging, averaging principle, small noise asymptotics, multi-scale analysis, switching diffusions, Markov modulated diffusions, Poisson random measures, 60F10, 60J75, 60G35, 60K37
Marco Romito
Electron. J. Probab. 23, 1-43, (2018) DOI: 10.1214/18-EJP242
KEYWORDS: density of laws, Stochastic differential equations, irregular coefficients, Besov spaces, 60H10, 60H07, 60H15, 34K50
Dariusz Buraczewski, Piotr Dyszewski
Electron. J. Probab. 23, 1-26, (2018) DOI: 10.1214/18-EJP239
KEYWORDS: Random walk in random environment, large deviations, branching process with immigration, 60K37, 60J10
Florent Bekerman, Thomas Leblé, Sylvia Serfaty
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/18-EJP209
KEYWORDS: beta-ensembles, log gas, central limit theorem, linear statistics, 60F05, 60K35, 60B10, 60B20, 82B05, 60G15
Tijana Levajković, Stevan Pilipović, Dora Seleši, Milica Žigić
Electron. J. Probab. 23, 1-25, (2018) DOI: 10.1214/18-EJP241
KEYWORDS: Hida–Kondratiev spaces, stochastic nonlinear evolution equations, Wick product, $C_0-$semigroup, infinitesimal generator, Catalan numbers, 60H15, 60H40, 60G20, 37L55, 47J35, 11B83
Noela Müller, Ralph Neininger
Electron. J. Probab. 23, 1-20, (2018) DOI: 10.1214/18-EJP243
KEYWORDS: Pólya urn, cyclic urn, cyclic group, periodicities, weak convergence, CLT analogue, probability metric, Zolotarev metric, 60F05, 60F15, 60C05, 60J10
Mohamed Slim Kammoun
Electron. J. Probab. 23, 1-31, (2018) DOI: 10.1214/18-EJP244
KEYWORDS: descent process, Determinantal point processes, Longest increasing subsequence, Random permutations, Robinson-Schensted correspondence, Tracy-Widom distribution, 60C05
Alexei Daletskii
Electron. J. Probab. 23, 1-15, (2018) DOI: 10.1214/18-EJP247
KEYWORDS: Stochastic differential equation, scale of Hilbert spaces, Infinite particle system, 60H10, 82C20, 82C31, ‎46E99
Amaury Lambert, Gerónimo Uribe Bravo
Electron. J. Probab. 23, 1-41, (2018) DOI: 10.1214/18-EJP251
KEYWORDS: chronological trees, Lévy processes, splitting property, 60G51, 60J80, 05C05, 92D25
Antonis Papapantoleon, Dylan Possamaï, Alexandros Saplaouras
Electron. J. Probab. 23, 1-68, (2018) DOI: 10.1214/18-EJP240
KEYWORDS: BSDEs, processes with jumps, stochastically discontinuous martingales, random time horizon, stochastic Lipschitz generator, 60G48, 60G55, 60G57, 60H05
Miryana Grigorova, Peter Imkeller, Youssef Ouknine, Marie-Claire Quenez
Electron. J. Probab. 23, 1-38, (2018) DOI: 10.1214/18-EJP225
KEYWORDS: doubly reflected BSDEs, Backward stochastic differential equations, Dynkin game, saddle points, $f$-expectation, nonlinear expectation, Game option, stopping time, stopping system, general filtration, cancellable American option, 60G40, 93E20, 60H30, 60G07, 47N10‎
A.D. Barbour, Adrian Röllin
Electron. J. Probab. 23, 1-37, (2018) DOI: 10.1214/18-EJP248
KEYWORDS: gossip process, deterministic approximation, branching processes, central limit theorem, 92H30, 60K35, 60J85
Victor Marx
Electron. J. Probab. 23, 1-54, (2018) DOI: 10.1214/18-EJP254
KEYWORDS: Wasserstein diffusion, Interacting particle system, coalescing particles, modified Arratia flow, Brownian sheet, differential calculus on Wasserstein space, Itô formula for measure-valued processes, 60K35, 60J60, 60B12, 60G44, 82B21
David Criens, Kathrin Glau
Electron. J. Probab. 23, 1-28, (2018) DOI: 10.1214/18-EJP238
KEYWORDS: absolute continuity of laws, Semimartingale, Girsanov’s theorem, Change of measure, Martingale problem, explosion, 60G44, 60G48
Eric Foxall
Electron. J. Probab. 23, 1-42, (2018) DOI: 10.1214/18-EJP250
KEYWORDS: Interacting particle system, naming game, 60K35
Lisa Hartung, Anton Klimovsky
Electron. J. Probab. 23, 1-27, (2018) DOI: 10.1214/18-EJP245
KEYWORDS: Gaussian processes, Branching Brownian motion, logarithmic correlations, random energy model, phase diagram, central limit theorem, random variance, martingale convergence, 60J80, 60G70, 60F05, 60K35, 82B44
Wei Qian, Wendelin Werner
Electron. J. Probab. 23, 1-23, (2018) DOI: 10.1214/18-EJP258
KEYWORDS: Brownian excursions, Brownian loop-soup, 60J65
Svante Janson
Electron. J. Probab. 23, 1-27, (2018) DOI: 10.1214/18-EJP252
KEYWORDS: $U$-statistics, renewal theory, Functional limit theorems, 60F05, 60F17, 60K05
Sunder Sethuraman, Doron Shahar
Electron. J. Probab. 23, 1-54, (2018) DOI: 10.1214/18-EJP237
KEYWORDS: Interacting particle system, Long-range, asymmetric, hydrodynamic, Burgers, anomalous, misanthrope, Zero-range, exclusion, 60K35
James McRedmond, Andrew R. Wade
Electron. J. Probab. 23, 1-24, (2018) DOI: 10.1214/18-EJP257
KEYWORDS: Random walk, Convex hull, perimeter length, diameter, shape, Zero-one law, 60G50, 60D05, 60F05, 60F15, 60F20
Martin Bauer, Thilo Meyer-Brandis, Frank Proske
Electron. J. Probab. 23, 1-35, (2018) DOI: 10.1214/18-EJP259
KEYWORDS: Mean-field stochastic differential equation, McKean-Vlasov equation, strong solutions, irregular coefficients, Malliavin calculus, local-time integral, Sobolev differentiability in the initial condition, Bismut-Elworthy-Li formula, 60H07, 60H10, 60H30, 60H20
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