getdoc272e. 338KB Jun 04 2011 12:04:11 AM
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The knowledge of the contact graphs of these substitutions enables us to establish an explicit formula for the Hausdorff dimension of the boundary of the associated Rauzy fractals
We prove that the growth constants for nearest-neighbour lattice trees and lattice (bond) animals on the integer lattice Z d are asymptotic to 2 d e as the dimension goes to
We extend this result to a natural multiparameter version of Taylor and Wendel’s theorem on the relationship between Brownian local time and the Hausdorff φ -measure of the zero
In the paper [STW], it was shown that “a Brownian motion reflected on an independent time-reversed Brownian motion is again a Brownian motion” combining the fact that the
We present a tail inequality for suprema of empirical processes generated by vari- ables with finite ψ α norms and apply it to some geometrically ergodic Markov chains to derive
From the earlier studies of random walks on fractals it is known that the walk is ruled by two parameters, by the fractal dimension and an exponent describing the conductivity of
Using the Lyapunov function approach we prove that such measures satisfy different kind of functional inequalities such as weak Poincaré and weak Cheeger, weighted Poincaré and
We prove here (by showing convergence of Chen’s series) that linear stochastic differential equa- tions driven by analytic fractional Brownian motion [6, 7] with arbitrary Hurst index
