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Article Dans Une Revue Journal of Physics A: Mathematical and General (1975 - 2006) Année : 1996

Random walk on the Bethe lattice and hyperbolic Brownian motion

Résumé

We give the exact solution to the problem of a random walk on the Bethe lattice through a mapping on an asymmetric random walk on the half-line. We also study the continuous limit of this model, and discuss in detail the relation between the random walk on the Bethe lattice and Brownian motion on a space of constant negative curvature.

Dates et versions

hal-04312353 , version 1 (28-11-2023)

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Cécile Monthus, Christophe Texier. Random walk on the Bethe lattice and hyperbolic Brownian motion. Journal of Physics A: Mathematical and General (1975 - 2006), 1996, 29 (10), pp.2399-2409. ⟨10.1088/0305-4470/29/10/019⟩. ⟨hal-04312353⟩
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