Michal Rams
Multifractal analysis for expanding interval maps with infinitely many branches.
Fri, 10/14/2011 - 15:01 — SomNambulAuthors: Thomas Jordan, Michal Rams, Ai-Hua Fan, Lingmin Liao
Subjects: Dynamical Systems
AbstractIn this paper we investigate multifractal decompositions based on values of
Birkhoff averages of functions from a class of symbolically continuous
functions. This will be done for an expanding interval map with infinitely many
branches and is a generalisation of previous work for expanding maps with
finitely many branches. We show that there are substantial differences between
this case and the setting where the expanding map has only finitely many
branches.Multifractal analysis for Bedford-McMullen carpets.
Wed, 09/02/2009 - 12:02 — SomNambulAuthors: Thomas Jordan, Michal Rams
Subjects: Dynamical Systems
AbstractIn this paper we compute the multifractal analysis for local dimensions of
Bernoulli measures supported on the self-affine carpets introduced by
Bedford-McMullen. This extends the work of King where the multifractal analysis
is computed with strong additional separation assumptions.Multifractal analysis for Bedford-McMullen carpets.
Wed, 09/02/2009 - 12:02 — SomNambulAuthors: Thomas Jordan, Michal Rams
Subjects: Dynamical Systems
AbstractIn this paper we compute the multifractal analysis for local dimensions of
Bernoulli measures supported on the self-affine carpets introduced by
Bedford-McMullen. This extends the work of King where the multifractal analysis
is computed with strong additional separation assumptions.Multifractal analysis of weak Gibbs measures for non-uniformly expanding C^1 maps.
Mon, 08/17/2009 - 18:30 — SomNambulAuthors: Thomas Jordan, Michal Rams
Subjects: Dynamical Systems
AbstractWe consider the local dimension spectrum of a weak Gibbs measure on a C^1
non-uniformly hyperbolic system of Manneville- Pomeau type. We present the
spectrum in three ways: using invariant measures, uniformly hyperbolic ergodic
measures and equilibrium states. We are also proving analyticity of the
spectrum under additional assumptions. All three presentations are well known
for smooth uniformly hyperbolic systems.
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