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187 papers · 1 filter
The bulk one-arm exponent for the CLE percolations
Haoyu Liu, Xin Sun, Pu Yu +1
The conformal loop ensemble (CLE) is a conformally invariant random collection of loops. In the non-simple regime , it describes the scaling limit of the critical Fort…
Fluctuations and correlations in weakly asymmetric simple exclusion on a ring subject to an atypical current
Benoit Dagallier
We consider the weakly asymmetric simple exclusion process on a ring, driven out of equilibrium by tilting the dynamics so as to enforce a macroscopic current of particles on a lar…
Higher-order propagation of chaos in for interacting diffusions
Elias Hess-Childs, Keefer Rowan
In this paper, we study diffusions with bounded pairwise interaction. We show for the first time propagation of chaos on arbitrary time horizons in a stronger -based distance,…
Kawasaki dynamics beyond the uniqueness threshold
Roland Bauerschmidt, Thierry Bodineau, Benoit Dagallier
Glauber dynamics of the Ising model on a random regular graph is known to mix fast below the tree uniqueness threshold and exponentially slowly above it. We show that Kawasaki dyna…
Recurrence and transience of multidimensional elephant random walks
Shuo Qin
We prove a conjecture by Bertoin that the multi-dimensional elephant random walk on () is transient and the expected number of zeros is finite. We also provi…
On level line fluctuations of SOS surfaces above a wall
Patrizio Caddeo, Yujin H. Kim, Eyal Lubetzky
We study the low temperature D Solid-On-Solid model on with zero boundary conditions and nonnegative heights (a floor at height ). Caputo et al. (2016) esta…