Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2012 · math.PRShow all

4 papers · 2 filters

math.PR2012

Aging of asymmetric dynamics on the random energy model

Pierre Mathieu, Jean-Christophe Mourrat

We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the scaling limits of the clock process and of the age process. The latter encodes th…

math.PR2012

First passage percolation and escape strategies

Enrique D. Andjel, Maria Eulalia Vares

Consider first passage percolation on $Z^{d}$ with passage times given by i.i.d. random variables with common distribution $F$ . Let $t_{π} (u, v)$ be the time from $u$ to $v$ fo…

math.PR2012

On the local time of random processes in random scenery

Fabienne Castell, Nadine Guillotin--Plantard, Françoise Pène +1

Random walks in random scenery are processes defined by $Z_{n} := \sum_{k = 1}^{n} ξ_{X_{1} + ... + X_{k}}$ , where basically $(X_{k}, k \geq 1)$ and $(ξ_{y}, y \in Z)$ are two independent sequences o…

math.PR2012★ 6 cited

Scaling limits and aging for asymmetric trap models on the complete graph and K-processes

S. C. Bezerra, L. R. G. Fontes, R. J. Gava +2

We obtain scaling limit results for asymmetric trap models and their infinite volume counterparts, namely asymmetric K processes. Aging results for the latter processes are derived…