30 citations · 129 across the 17 of their papers we have counts for
19 papers
On fluctuations of the drift in hyperbolic groups
Gil José Astudillo Hernandez, Manuel Stadlbauer
Let Gamma be a convex-cocompact group of isometries of a CAT(-1) space X and let Y to X/Gamma be a Galois cover with a word-hyperbolic group of deck transformations. We show that,…
Amenable graphs and the spectral radius of extensions of Markov maps
Johannes Jaerisch, Elaine Rocha, Manuel Stadlbauer
We discuss relations between the amenability of a graph and spectral properties of a random walk driven by a dynamical system. In order to include graphs which are not locally comp…
Minimal distance between random orbits
Sébastien Gouëzel, Jérôme Rousseau, Manuel Stadlbauer
We study the minimal distance between two orbit segments of length n, in a random dynamical system with sufficiently good mixing properties. This problem has already been solved in…
Thermodynamic formalism for random non-uniformly expanding maps
Manuel Stadlbauer, Shintaro Suzuki, Paulo Varandas
We develop a quenched thermodynamic formalism for a wide class of random maps with non-uniform expansion, where no Markov structure, no uniformly bounded degree or the existence of…
The Martin boundary of an extension by a hyperbolic group
Sara Ruth Pires Bispo, Manuel Stadlbauer
We prove uniform Ancona-Gouëzel-Lalley inequalities for an extension by a hyperbolic group of a Markov map which allows to deduce that the visual boundary of the group and the…
Quenched and annealed equilibrium states for random Ruelle expanding maps and applications
Manuel Stadlbauer, Paulo Varandas, Xuan Zhang
In this paper we describe the spectral properties of semigroups of expanding maps acting on Polish spaces, considering both sequences of transfer operators along infinite compositi…
Invariant probabilities for discrete time Linear Dynamics via Thermodynamic Formalism
Artur O. Lopes, Ali Messaoudi, M. Stadlbauer +1
We show the existence of invariant ergodic -additive probability measures with full support on for a class of linear operators , where is a weighted shift op…
Thermodynamic Formalism for Topological Markov Chains on Borel Standard Spaces
L. Cioletti, E. A. Silva, M. Stadlbauer
We develop a Thermodynamic Formalism for bounded continuous potentials defined on the sequence space , where is a general Borel standard space. In parti…
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples
Leandro Cioletti, L. Y. Hataishi, Artur O. Lopes +1
In this paper we study spectral triples and non-commutative expectations associated to expanding and weakly expanding maps. In order to do so, we generalize the Perron-Frobenius-Ru…
On conformal measures and harmonic functions for group extensions
Manuel Stadlbauer
We prove a Perron-Frobenius-Ruelle theorem for group extensions of topological Markov chains based on a construction of -finite conformal measures and give applications to the c…
On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients
Manuel Stadlbauer, Xuan Zhang
We establish a law of the iterated logarithm (LIL) for the set of real numbers whose -th partial quotient is bigger than , where is a sequence such that $\sum 1/α_n…
Ruelle Operator for Continuous Potentials and DLR-Gibbs Measures
Leandro Cioletti, Artur O. Lopes, M. Stadlbauer
In this work we study the Ruelle Operator associated to a continuous potential defined on a countable product of a compact metric space. We prove a generalization of Bowen's criter…
Review of analytical instruments for EEG analysis
S. N. Agapov, V. A. Bulanov, A. V. Zakharov +1
Since it was first used in 1926, EEG has been one of the most useful instruments of neuroscience. In order to start using EEG data we need not only EEG apparatus, but also some ana…
Contraction in the Wasserstein metric for some Markov chains, and applications to the dynamics of expanding maps
Benoit Kloeckner, Artur Lopes, Manuel Stadlbauer
We employ techniques from optimal transport in order to prove decay of transfer operators associated to iterated functions systems and expanding maps, giving rise to a new proof wi…
Coupling methods for random topological Markov chains
Manuel Stadlbauer
We apply coupling techniques in order to prove that the transfer operators associated with random topological Markov chains and non-stationary shift spaces with the big images and…
An extension of Kesten's criterion for amenability to topological Markov chains
Manuel Stadlbauer
The main results of this note extend a theorem of Kesten for symmetric random walks on discrete groups to group extensions of topological Markov chains. In contrast to the result i…
On the Lyapunov spectrum of relative transfer operators
Mário Bessa, Manuel Stadlbauer
We analyze the Lyapunov spectrum of the relative Ruelle operator associated with a skew product whose base is an ergodic automorphism and whose fibers are full shifts. We prove tha…
On random topological Markov chains with big images and preimages
Manuel Stadlbauer
We introduce a relative notion of the 'big images and preimages'-property for random topological Markov chains. This then implies that a relative version of the Ruelle-Perron-Frobe…
Radon--Nikodym representations of Cuntz--Krieger algebras and Lyapunov spectra for KMS states
Marc Kesseböhmer, Manuel Stadlbauer, Bernd O. Stratmann
We study relations between --KMS states on Cuntz--Krieger algebras and the dual of the Perron--Frobenius operator . Generalising the well--studied pur…