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- Centre National de la Recherche ScientifiqueFR105 papers
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6 papers · 2 filters
Stationary states of boundary driven exclusion processes with nonreversible boundary dynamics
C. Erignoux, C. Landim, T. Xu
We prove a law of large numbers for the empirical density of one-dimensional, boundary driven, symmetric exclusion processes with different types of non-reversible dynamics at the…
Building your path to escape from home
Daniel R. Figueiredo, Giulio Iacobelli, Roberto I. Oliveira +2
Random walks on dynamic graphs have received increasingly more attention from different academic communities over the last decade. Despite the relatively large literature, little i…
The infinite Atlas process: Convergence to equilibrium
Amir Dembo, Milton Jara, Stefano Olla
The semi-infinite Atlas process is a one-dimensional system of Brownian particles, where only the leftmost particle gets a unit drift to the right. Its particle spacing process has…
Notes on Growing a Tree in a Graph
Luc Devroye, Vida Dujmović, Alan Frieze +3
We study the height of a spanning tree of a graph obtained by starting with a single vertex of and repeatedly selecting, uniformly at random, an edge of with exactl…
Gilbert's disc model with geostatistical marking
Daniel Ahlberg, Johan Tykesson
We study a variant of Gilbert's disc model, in which discs are positioned at the points of a Poisson process in with radii determined by an underlying stationary and…
Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes
C. Landim, M. Mariani, I. Seo
We present two variational formulae for the capacity in the context of non-selfadjoint elliptic operators. The minimizers of these variational problems are expressed as solutions o…