Results 21 to 30 of about 41,266 (173)
Weak Specification Properties and Large Deviations for Non-additive Potentials
We obtain large deviation bounds for the measure of deviation sets associated to asymptotically additive and sub-additive potentials under some weak specification properties.
Blokh +11 more
core +1 more source
Topological Wiener-Wintner theorems for amenable operator semigroups
Inspired by topological Wiener-Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on $C(K)$ and show the connection to the convergence of strong and weak ergodic nets.
Schreiber, Marco
core +1 more source
Dynamical versus diffraction spectrum for structures with finite local complexity [PDF]
It is well-known that the dynamical spectrum of an ergodic measure dynamical system is related to the diffraction measure of a typical element of the system.
Aernout +3 more
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Ergodic Theory and Dynamical Systems [PDF]
This is the proceedings of the workshop on recent developments in ergodic theory and dynamical systems on March 2011 and March 2012 at the University of North Carolina at Chapel Hill. The articles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics, interval
openaire +1 more source
Ergodicity of the Liouville system implies the Chowla conjecture
Ergodicity of the Liouville system implies the Chowla conjecture, Discrete Analysis 2017:19, 41 pp. The Liouville function $\lambda:\mathbb N\to\{-1,1\}$ takes a product $p_1p_2\dots p_k$ of (not necessarily distinct) primes $p_1,\dots,p_k$ to $(-1)^k$.
Nikos Frantzikinakis
doaj +1 more source
Manifestations of Projection-Induced Memory: General Theory and the Tilted Single File
Over the years the field of non-Markovian stochastic processes and anomalous diffusion evolved from a specialized topic to mainstream theory, which transgressed the realms of physics to chemistry, biology and ecology. Numerous phenomenological approaches
Alessio Lapolla, Aljaž Godec
doaj +1 more source
Various kinematical quantities associated with the statistical properties of dynamical systems are examined: statistics of the motion, dynamical bases and Lyapunov exponents.
D. Ruelle +22 more
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Sarnak's conjecture implies the Chowla conjecture along a subsequence
We show that the M\"obius disjointess of zero entropy dynamical systems implies the existence of an increasing sequence of positive integers along which the Chowla conjecture on autocorrelations of the M\"obius function holds.Comment: Proceedings of the ...
Gomilko, Alexander +2 more
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Lower bound for the Perron-Frobenius degrees of Perron numbers
Using an idea of Doug Lind, we give a lower bound for the Perron-Frobenius degree of a Perron number that is not totally-real. As an application, we prove that there are cubic Perron numbers whose Perron-Frobenius degrees are arbitrary large; a result ...
Yazdi, Mehdi
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A Combinatorial classification of postcritically fixed Newton maps
We give a combinatorial classification for the class of postcritically fixed Newton maps of polynomials as dynamical systems. This lays the foundation for classification results of more general classes of Newton maps.
Drach, Kostiantyn +3 more
core +5 more sources

