VOL. 30 · NO. 1 | February 2020
Ann. Appl. Probab. 30 (1), (February 2020) Open Access
No abstract available
Ann. Appl. Probab. 30 (1), (February 2020) Open Access
No abstract available
Oleg Butkovsky, Alexei Kulik, Michael Scheutzow
Ann. Appl. Probab. 30 (1), 1-39, (February 2020) DOI: 10.1214/19-AAP1485 Open Access
KEYWORDS: Markov processes, invariant measure, ergodicity, generalized couplings, SPDEs, 60H15, 37L40, 60J25
Alessandro Garavaglia, Remco van der Hofstad, Nelly Litvak
Ann. Appl. Probab. 30 (1), 40-79, (February 2020) DOI: 10.1214/19-AAP1494 Open Access
KEYWORDS: Directed random graphs, PageRank, Local weak convergence, 60B20, 05C80
Sayan Banerjee, Debankur Mukherjee
Ann. Appl. Probab. 30 (1), 80-144, (February 2020) DOI: 10.1214/19-AAP1496 Open Access
KEYWORDS: Join the shortest queue, diffusion limit, steady-state analysis, Local time, nonelliptic diffusion, Halfin–Whitt regime, regenerative processes, 60K25, 60J60, 60K05, 60H20
Janko Gravner, David Sivakoff
Ann. Appl. Probab. 30 (1), 145-174, (February 2020) DOI: 10.1214/19-AAP1497 Open Access
KEYWORDS: Bootstrap percolation, cellular automaton, critical scaling, final density, heterogeneous bootstrap percolation, 60K35, 82B43
Sima Mehri, Michael Scheutzow, Wilhelm Stannat, Bian Z. Zangeneh
Ann. Appl. Probab. 30 (1), 175-207, (February 2020) DOI: 10.1214/19-AAP1499 Open Access
KEYWORDS: mean-field limits, McKean–Vlasov equations, propagation of chaos, spatially structured neural networks, monotone coefficients, fully path dependent delay, 60K35, 92B20, 65C20, 60F99, 82C80
Itai Benjamini, Luiz Renato Fontes, Jonathan Hermon, Fábio Prates Machado
Ann. Appl. Probab. 30 (1), 208-258, (February 2020) DOI: 10.1214/19-AAP1500 Open Access
KEYWORDS: frog model, epidemic spread, infection spread, rumor spread, Simple random walk, susceptibility, Cover time, multiple random walks, 82C41, 60K35, 82B43, 60J10
Marcel Nutz, Jaime San Martin, Xiaowei Tan
Ann. Appl. Probab. 30 (1), 259-286, (February 2020) DOI: 10.1214/19-AAP1501 Open Access
KEYWORDS: mean field game, $n$-player game, Equilibrium, Optimal stopping, 91A13, 60G40, 91A15, 91A55
Valentin Féray
Ann. Appl. Probab. 30 (1), 287-323, (February 2020) DOI: 10.1214/19-AAP1502 Open Access
KEYWORDS: combinatorial probability, central limit theorem, dependency graphs, patterns, multiset permutations, set partitions, 60C05, 60F05, 05A05, 05A18
Zhao Dong, Jiang-Lun Wu, Rangrang Zhang, Tusheng Zhang
Ann. Appl. Probab. 30 (1), 324-367, (February 2020) DOI: 10.1214/19-AAP1503 Open Access
KEYWORDS: large deviations, first-order conservation laws, weak convergence approach, Kinetic solution, 60F10, 60H15
Rémi Bardenet, Adrien Hardy
Ann. Appl. Probab. 30 (1), 368-417, (February 2020) DOI: 10.1214/19-AAP1504 Open Access
KEYWORDS: Monte Carlo methods, Determinantal point processes, hyperuniformity, orthogonal polynomials, central limit theorems, 65C05, 42C05, 60F05
Antonio Blanca, Reza Gheissari, Eric Vigoda
Ann. Appl. Probab. 30 (1), 418-459, (February 2020) DOI: 10.1214/19-AAP1505 Open Access
KEYWORDS: Random-cluster model, Glauber dynamics, mixing time, spatial mixing, 60K35, 82B20, 82C20
Jinho Baik, Thomas Bothner
Ann. Appl. Probab. 30 (1), 460-501, (February 2020) DOI: 10.1214/19-AAP1509 Open Access
KEYWORDS: Real Ginibre ensemble, Extreme value statistics, Riemann–Hilbert problem, Zakharov–Shabat system, inverse scattering theory, Deift–Zhou nonlinear steepest descent method, 60B20, 45M05, 60G70
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