2 papers
math-ph2000
Random walks on hyperbolic groups and their Riemann surfaces
Sergei Nechaev, Raphael Voituriez
We investigate invariants for random elements of different hyperbolic groups. We provide a method, using Cayley graphs of groups, to compute the probability distribution of the min…
cond-mat.stat-mech2000
Multifractality in uniform hyperbolic lattices and in quasi-classical Liouville field theory
A. Comtet, S. Nechaev, R. Voituriez
We introduce a deterministic model defined on a two dimensional hyperbolic lattice. This model provides an example of a non random system whose multifractal behaviour has a number…