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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2014 · math.PRShow all

6 papers · 2 filters

math.PR2014★ 9 cited

Height and the total mass of the forest of genealogical trees of a large population with general competition

Vi Le, Etienne Pardoux

We consider branching processes with interaction in continuous time, both with values in the integers and in the reals (in the second case we restrict ourselves to continuous proce…

math.PR2014

Metastability for the contact process on the configuration model with infinite mean degree

Van Hao Can, Bruno Schapira

We study the contact process on the configuration model with a power law degree distribution, when the exponent is smaller than or equal to two. We prove that the extinction time g…

math.PR2014★ 131 cited

A Wong-Zakai theorem for stochastic PDEs

Martin Hairer, Étienne Pardoux

We prove a version of the Wong-Zakai theorem for one-dimensional parabolic nonlinear stochastic PDEs driven by space-time white noise. As a corollary, we obtain a detailed local de…

math.PR2014★ 2 cited

A path-valued Markov process indexed by the ancestral mass

Etienne Pardoux, Anton Wakolbinger

A family of Feller branching diffusions , , with nonlinear drift and initial value can, with a suitable coupling over the {\em ancestral masses} , be viewed as…

math.PR2014

Entropy along W_{1,+}-geodesics on graphs

Erwan Hillion

We study the convexity of the entropy functional along particular interpolating curves defined on the space of finitely supported probability measures on a graph.

math.PR2014★ 2 cited

Convergence of clock processes and aging in Metropolis dynamics of a truncated REM

Véronique Gayrard

We study the aging behavior of a truncated version of the Random Energy Model evolving under Metropolis dynamics. We prove that the natural time-time correlation function defined t…