Zobrazeno 1 - 10
of 1 369
pro vyhledávání: '"37E05"'
Autor:
Li, Hengyi
We show that the continuity property of Lyapunov exponents proved in \cite{BCS-Exponents} for smooth surface diffeomorphisms extends to smooth interval maps, in the case when the map only has non-flat critical points and the entropies converging to t
Externí odkaz:
http://arxiv.org/abs/2412.19007
Autor:
Bhattacharya, Sourav, Yadav, Ashish
We prove a sufficient condition for a \emph{pattern} $\pi$ on a \emph{triod} $T$ to have \emph{rotation number} $\rho_{\pi}$ coincide with an end-point of its \emph{forced rotation interval} $I_{\pi}$. Then, we demonstrate the existence of peculiar \
Externí odkaz:
http://arxiv.org/abs/2412.18648
Autor:
Zhao, Boyuan
Given a topologically transitive system on the unit interval, one can investigate the \emph{cover time}, \ie time for an orbit to reach certain level of resolution in the repeller. We introduce a new notion of dimension, namely the \emph{stretched Mi
Externí odkaz:
http://arxiv.org/abs/2412.17425
We study the dynamics of a family of replicator maps, depending on two parameters. Such studies are motivated by the analysis of the dynamics of evolutionary games under selections. From the dynamics viewpoint, we prove the existence of hyperbolic ch
Externí odkaz:
http://arxiv.org/abs/2412.16379
Autor:
Finch, Steven
Dumitru Popa found asymptotic expansions for certain nonlinear recurrences, but left open the numerical evaluation of associated constants. We address this issue. A change of variables involving reciprocals and the algorithm of Mavecha & Laohakosol p
Externí odkaz:
http://arxiv.org/abs/2412.11806
We study a class of interval translation mappings introduced by Bruin and Troubetzkoy, describing a new renormalization scheme, inspired by the classical Rauzy induction for this class. We construct a measure, invariant under the renormalization, sup
Externí odkaz:
http://arxiv.org/abs/2412.07928
Autor:
H, Nicolás Arévalo
We establish the existence of equilibrium states for geometric potentials in a family of piecewise weakly convex interval maps. This family includes systems with indifferent fixed points and non-Markov partitions. Under specific conditions, we also p
Externí odkaz:
http://arxiv.org/abs/2412.06423
Autor:
Morawiec, Janusz, Zürcher, Thomas
It is well-known that the Lebesgue measure is the unique absolutely continuous invariant probability measure under the $p$-adic transformation. The purpose of this paper is to characterize the family of all invariant probability measures under the $p
Externí odkaz:
http://arxiv.org/abs/2412.06406
Autor:
Langeveld, Niels, Ralston, David
Proper continued fractions are generalized continued fractions with positive integer numerators $a_i$ and integer denominators with $b_i\geq a_i$. In this paper we study the strength of approximation of irrational numbers to their convergents and cla
Externí odkaz:
http://arxiv.org/abs/2412.05077
We prove a universal projection theorem, giving conditions on a parametrized family of maps $\Pi_\lambda : X \to \mathbb{R}^d$ and a collection $M$ of measures on $X$ under which for almost every $\lambda$ equality $\mathrm{dim}_H \Pi_\lambda \mu = \
Externí odkaz:
http://arxiv.org/abs/2412.03529