Publication


Featured researches published by Nathanaël Enriquez.


Comptes Rendus Mathematique | 2002

Edge oriented reinforced random walks and RWRE

Nathanaël Enriquez; Christophe Sabot

Abstract The aim of this text is to present, in a general framework, a precise and explicit correspondance between a class of edge oriented reinforced random walks and random walks in random environment. To cite this article: N. Enriquez, C. Sabot, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 941–946.


Journal of Theoretical Probability | 2001

Markov Chains on Graphs and Brownian Motion

Nathanaël Enriquez; Yuri Kifer

AbstractWe consider random walks with small fixed steps inside of edges of a graph


Israel Journal of Mathematics | 2004

Random walks in random environment: What a single trajectory tells

Omer Adelman; Nathanaël Enriquez


Revista Matematica Iberoamericana | 1997

Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature

Nathanaël Enriquez; Yves Le Jan

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Probability Theory and Related Fields | 2001

Stable windings on hyperbolic surfaces

Nathanaël Enriquez; Jacques Franchi; Yves Le Jan


Annals of Applied Probability | 2013

Quenched limits for the fluctuations of transient random walks in random environment on Z

Nathanaël Enriquez; Christophe Sabot; Laurent Tournier; Olivier Zindy

, prescribing a natural rule of probabilities of jumps over a vertex. We show that after an appropriate rescaling such random walks weakly converge to the natural Brownian motion on


arXiv: Probability | 2016

On the number of lattice convex chains

Julien Bureaux; Nathanaël Enriquez


Electronic Communications in Probability | 2016

Asymptotic expansion of the expected spectral measure of Wigner matrices

Nathanaël Enriquez; L. Menard

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Annals of Probability | 2013

Distances in the highly supercritical percolation cluster

Anne-Laure Basdevant; Nathanaël Enriquez; Lucas Gerin


Archive | 2001

Canonical Lift and Exit Law of the Fundamental Diffusion Associated with a Kleinian Group

Nathanaël Enriquez; Jacques Franchi; Yves Le Jan

constructed in Ref. 1.

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