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9 papers · 2 filters
Uniqueness of Ground States for Short-Range Spin Glasses in the Half-Plane
Louis-Pierre Arguin, Michael Damron, Charles Newman +1
We consider the Edwards-Anderson Ising spin glass model on the half-plane with zero external field and a wide range of choices, including mean zero Gaussian, for the…
Finite connections for supercritical Bernoulli bond percolation in 2D
Massimo Campanino, Dmitry Ioffe, Oren Louidor
Two vertices are said to be finitely connected if they belong to the same cluster and this cluster is finite. We derive sharp asymptotics for finite connection probabilities for su…
Periodic homogenization with an interface: The multi-dimensional case
Martin Hairer, Charles Manson
We consider a diffusion process with coefficients that are periodic outside of an "interface region" of finite thickness. The question investigated in this article is the limiting…
On monochromatic arm exponents for 2D critical percolation
Vincent Beffara, Pierre Nolin
We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic…
Fixation for Distributed Clustering Processes
Marcelo R. Hilario, Oren Louidor, Charles M. Newman +3
We study a discrete-time resource flow in , where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution…
Current fluctuations for TASEP: A proof of the Prähofer--Spohn conjecture
Gérard Ben Arous, Ivan Corwin
We consider the family of two-sided Bernoulli initial conditions for TASEP which, as the left and right densities () are varied, give rise to shock waves and rarefaction f…