VOL. 49 · NO. 4 | July 2021
Ann. Probab. 49 (4), (July 2021)
No abstract available
Ann. Probab. 49 (4), (July 2021)
No abstract available
Alexei Borodin, Alexey Bufetov
Ann. Probab. 49 (4), 1607-1632, (July 2021) DOI: 10.1214/20-AOP1463
KEYWORDS: Exclusion process, Second-class particle, dissolving shock, 60K35
Ewain Gwynne, Joshua Pfeffer
Ann. Probab. 49 (4), 1633-1676, (July 2021) DOI: 10.1214/20-AOP1486
KEYWORDS: Diffusion-limited aggregation, Loop-erased random walk, Random planar maps, Schramm–Loewner evolution, Liouville quantum gravity, 82B24, 82B41, 60J67
Ewain Gwynne, Jason Miller, Scott Sheffield
Ann. Probab. 49 (4), 1677-1717, (July 2021) DOI: 10.1214/20-AOP1487
KEYWORDS: Random planar maps, mated-CRT map, Tutte embedding, Liouville quantum gravity, Schramm–Loewner evolution, Random walk, 60J67, 60D05, 60J65
Sourav Sarkar, Bálint Virág
Ann. Probab. 49 (4), 1718-1737, (July 2021) DOI: 10.1214/20-AOP1491
KEYWORDS: KPZ fixed point, locally Brownian, Absolute continuity, Brownian on compacts, finitary initial conditions, 82B23, 82C22, 60H15
Duncan Dauvergne, Bálint Virág
Ann. Probab. 49 (4), 1738-1777, (July 2021) DOI: 10.1214/20-AOP1492
KEYWORDS: Airy line ensemble, Airy process, KPZ universality class, Last passage percolation, Brownian Gibbs property, modulus of continuity, Dyson’s Brownian motion, 60K35, 60B20
Amol Aggarwal, Patrick Lopatto, Jake Marcinek
Ann. Probab. 49 (4), 1778-1846, (July 2021) DOI: 10.1214/20-AOP1493
KEYWORDS: Lévy matrices, eigenvector statistics, eigenvector moment flow, resolvent, Poisson weighted infinite tree, 15B52, 60B20
Bhaswar B. Bhattacharya, Sohom Bhattacharya, Shirshendu Ganguly
Ann. Probab. 49 (4), 1847-1885, (July 2021) DOI: 10.1214/20-AOP1495
KEYWORDS: Erdős–Rényi random graph, large deviations, random matrices, Extreme eigenvalues, 60F10, 05C80, 60B20, 15A18‎
Guillaume Dubach, Yuval Peled
Ann. Probab. 49 (4), 1886-1916, (July 2021) DOI: 10.1214/20-AOP1496
KEYWORDS: complex Ginibre ensemble, Fuss–Catalan distribution, genus expansion, mixed moments of non-Hermitian matrices, second order freeness, words of random matrices, 60B20, 57K20
Khalil Chouk, Willem van Zuijlen
Ann. Probab. 49 (4), 1917-1964, (July 2021) DOI: 10.1214/20-AOP1497
KEYWORDS: Anderson Hamiltonian, White noise, Paracontrolled distributions, operators with Dirichlet boundary conditions, 60H25, 60F15, 35J10, 35J15, 60F10
Tomas Berggren
Ann. Probab. 49 (4), 1965-2011, (July 2021) DOI: 10.1214/20-AOP1498
KEYWORDS: Determinantal point processes, periodically weighted random tilings, 60G55, 60B10, 52C20, 30E20
Simon Coste, Justin Salez
Ann. Probab. 49 (4), 2012-2030, (July 2021) DOI: 10.1214/20-AOP1499
KEYWORDS: spectrum, sparse Erdős–Rényi random graphs, unimodular Galton–Watson trees, extended states, 05C80, 60B20, 47A10
Edward Crane, Balázs Ráth, Dominic Yeo
Ann. Probab. 49 (4), 2031-2075, (July 2021) DOI: 10.1214/20-AOP1501
KEYWORDS: inhomogeneous random graph, multitype branching process, Self-organized criticality, Perron–Frobenius theory, Differential equations, 05C80, 60J80, 46N55, 35Q82
Shirshendu Ganguly, Reza Gheissari
Ann. Probab. 49 (4), 2076-2140, (July 2021) DOI: 10.1214/21-AOP1505
KEYWORDS: Ising model, Wetting Transition, Entropic repulsion, Interface, cube-root fluctuations, 60K35, 82B24, 82B20, 82B41
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