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20022011
most citedStatistical mechanics and dynamics of solvable models with long-range interactions

964 citations

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Showing 2011Show all

13 papers · 1 filter

math.CO2011★ 1 cited

Scott's induced subdivision conjecture for maximal triangle-free graphs

Nicolas Bousquet, Stéphan Thomassé

Scott conjectured that the class of graphs with no induced subdivision of a given graph is -bounded. We verify his conjecture for maximal triangle-free graphs.

math.PR2011★ 9 cited

The Brownian map is the scaling limit of uniform random plane quadrangulations

Grégory Miermont

We prove that uniform random quadrangulations of the sphere with faces, endowed with the usual graph distance and renormalized by , converge as in distri…

cond-mat.stat-mech2011★ 7 cited

Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes

Cedric Bernardin, C. Landim

We examine the entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes. In contrast with the Gibbs--Shannon entropy \cite{B, DLS2}, th…

cond-mat.stat-mech2011★ 37 cited

Dependence of kinetic friction on velocity: Master equation approach

Oleg Braun, Michel Peyrard

We investigate the velocity dependence of kinetic friction with a model which makes minimal assumptions on the actual mechanism of friction so that it can be applied at many scales…

physics.soc-ph2011★ 2 cited

Symmetry-breaking phase transition in a dynamical decision model

Gaultier Lambert, Guillaume Chevereau, Eric Bertin

We consider a simple decision model in which a set of agents randomly choose one of two competing shops selling the same perishable products (typically food). The satisfaction of a…

math.AP2011★ 20 cited

The Lin-Ni's problem for mean convex domains

Olivier Druet, Frédéric Robert, Juncheng Wei

We prove some refined asymptotic estimates for postive blowing up solutions to on , on ; being a smooth bounded…