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Articles
Nicoletta Cancrini, Gustavo Posta
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/18-ECP204
KEYWORDS: chaos propagation, Interacting particle system, parallel updates, queues network, 60K35, 60B10
Dayue Chen, Peng Chen, Nina Gantert, Dominik Schmid
Electron. Commun. Probab. 24, 1-10, (2019) DOI: 10.1214/18-ECP205
KEYWORDS: Exclusion process, regular tree, Tagged particle, ergodicity, 60K35
Milton Jara, Gregorio R. Moreno Flores
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/18-ECP206
KEYWORDS: KPZ equation, Burgers equation, Sasamoto-Spohn model, 60K35, 82B20, 60H15
Xiaoxue Deng, Ping Zhong
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/18-ECP202
KEYWORDS: Free probability, free multiplicative convolution, semigroup, continuity, 46L54
Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik
Electron. Commun. Probab. 24, 1-17, (2019) DOI: 10.1214/18-ECP207
KEYWORDS: Random walk, heat kernel, Intrinsic metric, 39A12, 60J35, 60K37, 82C41
Yuri Kifer, Sasha Sodin
Electron. Commun. Probab. 24, 1, (2019) DOI: 10.1214/19-ECP210
KEYWORDS: random matrix products, large deviations, avalanche principle, nonconventional limit theorems, 60B20, 60F15, 60F10, 82B44
James Allen Fill, Wei-Chun Hung
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP213
KEYWORDS: QuickSort, density tails, asymptotic bounds, Landau–Kolmogorov inequality, 68P10, 60E05, 60C05
Vitalii Konarovskyi, Tobias Lehmann, Max-K. von Renesse
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/19-ECP208
KEYWORDS: SPDE, Wasserstein diffusion, Laplace duality, viscous Hamilton-Jacobi equation, probability generating function, 60H15, 60G57, 43A35, 82C31
Ehsan Azmoodeh, Ivan Nourdin
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP212
KEYWORDS: almost sure limit theorem, multiple Wiener-Itô integrals, Malliavin calculus, Characteristic function, Wiener Chaos, Hermite distribution, fractional Brownian motion, 60F05, 60G22, 60G15, 60H05, 60H07
Marcus Michelen
Electron. Commun. Probab. 24, 1-13, (2019) DOI: 10.1214/19-ECP216
KEYWORDS: Critical percolation, Incipient infinite cluster, exponential limit law, Kolmogorov’s estimate, 60K35
Yanjun Han, Guanyang Wang
Electron. Commun. Probab. 24, 1-10, (2019) DOI: 10.1214/19-ECP220
KEYWORDS: Labouchere system, gambling theory, martingale, combinatorics, 60G40, 60C05
David García-Zelada
Electron. Commun. Probab. 24, 1-18, (2019) DOI: 10.1214/19-ECP211
KEYWORDS: Gibbs measure, Green function, Coulomb gas, empirical measure, concentration of measure, Interacting particle system, Singular potential, heat kernel, 60B05, 26D10, 35K05
Arturo Valdivia
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP221
KEYWORDS: Doubly-stochastic Poisson process, Bell polynomials, Malliavin calculus, credit risk, Hazard process, integrated non-Gaussian OU process, 60G22, 60G51, 60H07, 91G40
Shravas Rao
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP219
KEYWORDS: Hoeffding bound, Markov chain, generic chaining, random matrices, 60F10
Martin Möhle
Electron. Commun. Probab. 24, 1-14, (2019) DOI: 10.1214/19-ECP222
KEYWORDS: Eigenvalues, eigenvectors, empirical measure process, finite Markov chain, First passage time, mixing time, mutation model, potential theory, product chain, random walk on the hypercube, spectral analysis, 60J10, 15A18‎, 60J45, 92D10
Lê Vǎn Thành, Nguyen Ngoc Tu
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP218
KEYWORDS: Stein’s method, Kolmogorov distance, Wasserstein distance, mean-field model, 60F05
D. Armentano, J-M. Azaïs, D. Ginsbourger, J.R. León
Electron. Commun. Probab. 24, 1-8, (2019) DOI: 10.1214/19-ECP214
KEYWORDS: Gaussian fields, nodal sets, Crofton formula, Kac-Rice formula, 60G15, 60G60, 60D05, 20B15
Juhan Aru, Ellen Powell, Avelio Sepúlveda
Electron. Commun. Probab. 24, 1-16, (2019) DOI: 10.1214/19-ECP209
KEYWORDS: multiplicative chaos, Liouville measure, Liouville quantum gravity, multiplicative cascades, critical GMC measure, first passage sets, Gaussian free field, Local sets, 60G15, 60G60, 60D05, 60G60, 60K35, 60J67
Wei Wu, Ofer Zeitouni
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP215
KEYWORDS: Gradient random fields, Interface models, 60G60, 60K35
Alain-Sol Sznitman
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP217
KEYWORDS: Gaussian free field, Random interlacements, percolation, coupling, 60K35, 60G15, 60J10, 82B43
Soumik Pal, Andrey Sarantsev
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP223
KEYWORDS: reflected Brownian motion, Wasserstein distance, Relative entropy, transportation cost-information inequality, concentration of measure, Competing Brownian particles, 82C22, 60H10, 60J60, 60K35, 91G10
Krzysztof Burdzy
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP224
KEYWORDS: reflected Brownian motion, coupling, 60J65
Svante Janson
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP226
KEYWORDS: Pólya urn, infinite Pólya urn, random replacements, 60C05
Russell Lyons
Electron. Commun. Probab. 24, 1-2, (2019) DOI: 10.1214/19-ECP231
KEYWORDS: inaccessible, Lipschitz, singular, 60H10
Zakhar Kabluchko
Electron. Commun. Probab. 24, 1-13, (2019) DOI: 10.1214/19-ECP234
KEYWORDS: Gaussian process, curve in Hilbert space, spherical projection, metric space, triangle equality, zeroes, Pfaffian point process, determinantal point process, 60G15, 60G10, 46C05, 54E35
Erin Beckman, Natalie Frank, Yufeng Jiang, Matthew Junge, Si Tang
Electron. Commun. Probab. 24, 1-10, (2019) DOI: 10.1214/19-ECP235
KEYWORDS: frog model, Interacting particle system, coupling, recurrence, 60K35, 60J80, 60J10
Brittany Dygert, Christoph Kinzel, Matthew Junge, Annie Raymond, Erik Slivken, Jennifer Zhu
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP238
KEYWORDS: ballistic annihilation, Particle system, statistical physics, 60K35
Jieliang Hong
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP237
KEYWORDS: Super-Brownian motion, Local time, Hölder continuity, 60J55, 60J68, 26A16
Tobias Johnson, Leonardo T. Rolla
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/19-ECP230
KEYWORDS: frog model, recurrence, transience, Branching random walk, Activated random walk, 60K35, 60J80, 60J10
Avner Kiro, Alon Nishry
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/19-ECP236
KEYWORDS: Gaussian entire functions, Point processes, rigidity of linear statistics, 30Dxx, 60G55, 30B20
Ruojun Huang
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP233
KEYWORDS: Isoperimetry, internal diffusion limited aggregation, recurrence, Random walk, random environment, changing environment, 60K37, 82C24, 60K35
Qingsan Zhu
Electron. Commun. Probab. 24, 1-6, (2019) DOI: 10.1214/19-ECP228
KEYWORDS: critical branching random walk, visiting probability, critical dimension, 60G50, 60J80
Paul Gassiat
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/19-ECP239
KEYWORDS: Rough volatility, martingale property, 60G44, 60G22, 91G20
Ivan Nourdin, Giovanni Peccati, Xiaochuan Yang
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP241
KEYWORDS: Breuer-Major theorem, rate of convergence, Gebelein’s inequality, Malliavin-Stein approach, 60F05, 60G15, 60H07
Anatolii Puhalskii
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP243
KEYWORDS: generalised Jackson networks, long term distribution, large deviation principle, idempotent probability, 60F10, 60K25
Ross Pinsky
Electron. Commun. Probab. 24, 1-5, (2019) DOI: 10.1214/19-ECP244
KEYWORDS: Kemeny’s constant, One-dimensional diffusion, entrance boundary, 60J60, 60J50
Steven N. Evans, Daniel Raban
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP227
KEYWORDS: $p$-adic, $p$-series, Exchangeable, spherically symmetric, Gaussian, Total variation, completely monotone, nonnegative definite, 60B99, 60G09, 12J25
Gregory F. Lawler, Petr Panov
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/19-ECP225
KEYWORDS: Gaussian free field, random walk loop soup, isomorphism theorem, 60J05
Jiro Akahori, Andrea Collevecchio, Masato Takei
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP240
KEYWORDS: Self-interacting random walks, reinforced random walks, 60K35
Yves Le Jan
Electron. Commun. Probab. 24, 1-7, (2019) DOI: 10.1214/19-ECP242
KEYWORDS: Markov loops, networks, maps, 60C05, 60J27, 60G60
Xiaoqiang Wang, Chunmao Huang
Electron. Commun. Probab. 24, 1-14, (2019) DOI: 10.1214/19-ECP247
KEYWORDS: Branching random walk, random environment, complex martingale, moments, weighted moments, convergence rate, 60J80, 60K37
Ewa Damek, Nina Gantert, Konrad Kolesko
Electron. Commun. Probab. 24, 1-13, (2019) DOI: 10.1214/19-ECP229
KEYWORDS: branching processes, Branching processes in random environment, martingale limit, 60J80, 60K37
Constantinos Kardaras, Johannes Ruf
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP246
KEYWORDS: Bessel process, Filtering, local martingale, Local time, 60G44, 60G48, 60H10, 60J55, 60J60
Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt, Florian Schweiger
Electron. Commun. Probab. 24, 1-14, (2019) DOI: 10.1214/19-ECP245
KEYWORDS: membrane model, random interface, Entropic repulsion, Gaussian process, 60G15, 60G60, 82B41
Christopher Janjigian
Electron. Commun. Probab. 24, 1-10, (2019) DOI: 10.1214/19-ECP249
KEYWORDS: Brownian directed percolation, large deviations, largest eigenvalues, GUE, 60F10, 60K35
Luca Pratelli, Pietro Rigo
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/19-ECP255
KEYWORDS: finite dimensional distributions, process with continuous paths, quantile process, 60A05, 60B10, 60G05, 60G17
Brémont Julien
Electron. Commun. Probab. 24, 1-15, (2019) DOI: 10.1214/19-ECP252
KEYWORDS: Markov chain, recurrence, stratification, random environment, independence, 60G17, 60J10, 60K37
Vjekoslav Kovač, Pavel Zorin-Kranich
Electron. Commun. Probab. 24, 1-14, (2019) DOI: 10.1214/19-ECP257
KEYWORDS: martingale, paraproduct, strong variation, jump counting function, 60G42, 60G44
Shengjun Fan, Ying Hu
Electron. Commun. Probab. 24, 1-10, (2019) DOI: 10.1214/19-ECP254
KEYWORDS: backward stochastic differential equation, $L\exp (\mu \sqrt{2\log (1+L)} )$-integrability, existence and uniqueness, critical case, 60H10
Ernesto Mordecki, Paavo Salminen
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP250
KEYWORDS: excessive function, integral representation of excessive functions, 60J60, 60J65, 62L15
Andrii Ilienko
Electron. Commun. Probab. 24, 1-9, (2019) DOI: 10.1214/19-ECP263
KEYWORDS: coupon collector’s problem, Dixie cup problem, Point processes, Poisson convergence, poissonization, 60G55, 60F17
Cheuk Yin Lee, Yimin Xiao
Electron. Commun. Probab. 24, 1-8, (2019) DOI: 10.1214/19-ECP264
KEYWORDS: Stochastic wave equation, strong local nondeterminism, uniform modulus of continuity, Gaussian random field, 60G15, 60G17, 60H15
Zhixin Wu, Arijit Chakrabarty, Gennady Samorodnitsky
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP251
KEYWORDS: Gaussian process, high excursions, minima, 60G15, 60F10, 60G70
Marco Aymone
Electron. Commun. Probab. 24, 1-8, (2019) DOI: 10.1214/19-ECP260
KEYWORDS: Random series, zeros of random analytic functions, Dirichlet series, 60G50, 11M41
Laure Marêché
Electron. Commun. Probab. 24, 1-10, (2019) DOI: 10.1214/19-ECP261
KEYWORDS: interacting particle systems, Glauber dynamics, Kinetically constrained models, East model, Convergence to equilibrium, 60K35
Ewain Gwynne, Joshua Pfeffer
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP248
KEYWORDS: Liouville quantum gravity, Gaussian free field, Liouville first passage percolation, 60D05, 60G15
Elizabeth Meckes, Kathryn Stewart
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP258
KEYWORDS: random matrices, truncations, submatrices, empirical spectral measure, Coulomb gas, Concentration inequalities, Haar measure, 60B20
Sami Mustapha, Mohamed Sifi
Electron. Commun. Probab. 24, 1-15, (2019) DOI: 10.1214/19-ECP259
KEYWORDS: random walk in Lipchitz domain, discrete harmonic function, Martin boundary, 60G50, 31C35, 60G40, 30F10
Espen R. Jakobsen, Athena Picarelli, Christoph Reisinger
Electron. Commun. Probab. 24, 1-10, (2019) DOI: 10.1214/19-ECP256
KEYWORDS: optimal control, Bellman’s equation, error estimates, piecewise constant policies, 93E20, 35K55, 65M15, 49L20
Guoman He, Ge Yang, Yixia Zhu
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP265
KEYWORDS: symmetric Markov process, conditional ergodic theorem, quasi-stationary distribution, one-dimensional diffusions, intrinsic ultracontractivity, 60J25, 37A30, 60J60
Adrien Saumard
Electron. Commun. Probab. 24, 1-8, (2019) DOI: 10.1214/19-ECP266
KEYWORDS: bi-log-concavity, isoperimetric constant, Log-concavity, 60E05, 60E15
Anna Aksamit, Claudio Fontana
Electron. Commun. Probab. 24, 1-13, (2019) DOI: 10.1214/19-ECP253
KEYWORDS: predictable representation property, non-equivalent change of probability, 60G07, 60G44, 60H05
Bernard Bercu, Taieb Touati
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP269
KEYWORDS: Concentration inequalities, Martingales, autoregressive process, Statistical learning, 60E15, 60G42, 60G15, 60J80
Morris Ang
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP270
KEYWORDS: Liouville first-passage percolation, Liouville quantum gravity, 60K35, 60G60
Shuta Nakajima
Electron. Commun. Probab. 24, 1-13, (2019) DOI: 10.1214/19-ECP267
KEYWORDS: random environment, First passage time, Fluctuation, 60K35, 60J80, 60J10
S. Péché
Electron. Commun. Probab. 24, 1-7, (2019) DOI: 10.1214/19-ECP262
KEYWORDS: random matrices, machine learning, 60E05
Yier Lin
Electron. Commun. Probab. 24, 1-17, (2019) DOI: 10.1214/19-ECP271
KEYWORDS: Markov duality, stochastic six vertex model, inductive argument, 82C22, 82B23
Renan Gross
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP272
KEYWORDS: Skorokhod embedding, conformal mapping, domain-free Riemann mapping, 60G40, 60G44, 30B10
Raphael Ducatez
Electron. Commun. Probab. 24, 1-13, (2019) DOI: 10.1214/19-ECP232
KEYWORDS: Anderson model, random matrices, 15A18‎, 15B52, 60J65, 60J35, 60F05, 60G50, 60G52, 81V99
Luiz Renato Fontes, Rinaldo B. Schinazi
Electron. Commun. Probab. 24, 1-8, (2019) DOI: 10.1214/19-ECP275
KEYWORDS: metastability, Random walk, population model, catastrophe, 60J10, 60J80, 92D25, 60K37
Xinxin Chen, Nadine Guillotin-Plantard
Electron. Commun. Probab. 24, 1-13, (2019) DOI: 10.1214/19-ECP268
KEYWORDS: branching process, positive association, Random walk, 60J80, 60K37, 60G22
Ádám Timár
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP274
KEYWORDS: invariant spanning tree, unimodular random graph, factor of iid, one-ended, 60C05
Mikhail Beliayeu, Petr Chmel, Bhargav Narayanan, Jan Petr
Electron. Commun. Probab. 24, 1-8, (2019) DOI: 10.1214/19-ECP276
KEYWORDS: excited random walk, hitting times, slowdown estimates, 60G50, 60J10, 60C05
Dimitris Cheliotis, Nickos Papadatos
Electron. Commun. Probab. 24, 1-7, (2019) DOI: 10.1214/19-ECP273
KEYWORDS: exponential distribution, maximal average, Lambert $W$ function, ruin probability, 60E05, 60F05
Per von Soosten, Simone Warzel
Electron. Commun. Probab. 24, 1-12, (2019) DOI: 10.1214/19-ECP278
KEYWORDS: Local semicircle law, random characteristics, Wigner matrices, 15B52
Khanh Duy Trinh
Electron. Commun. Probab. 24, 1-15, (2019) DOI: 10.1214/19-ECP279
KEYWORDS: central limit theorem, Stochastic geometry, critical regime, add-one cost, strong stabilization, de-Poissonization, Betti numbers, 60F05, 60D05
R. Mikulevičius, Fanhui Xu
Electron. Commun. Probab. 24, 1-11, (2019) DOI: 10.1214/19-ECP280
KEYWORDS: path regularity of stochastic processes, embedding theorems, 60G60, 60G17, 46E35
Bartłomiej Polaczyk
Electron. Commun. Probab. 24, 1-15, (2019) DOI: 10.1214/19-ECP277
KEYWORDS: Random matrix theory, Empirical spectral distribution, concentration of measure, 60B20
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