Zobrazeno 1 - 10
of 949
pro vyhledávání: '"37D25"'
Autor:
Ivanov, Alexey V.
We study a difference Riccati equation $\Phi(x) + \rho(x)/\Phi(x-\omega) = v(x)$ with $1-$periodic continuos coefficients. Using continued fraction theory we investigate a problem of existence of continuos solutions for this equation. It is shown tha
Externí odkaz:
http://arxiv.org/abs/2410.07730
Autor:
Berry, Tyrus, Das, Suddhasattwa
A dynamical system is a transformation of a phase space, and the transformation law is the primary means of defining as well as identifying the dynamical system. It is the object of focus of many learning techniques. Yet there are many secondary aspe
Externí odkaz:
http://arxiv.org/abs/2409.13493
Given a continuous linear cocycle $\mathcal{A}$ over a homeomorphism $f$ of a compact metric space $X$, we investigate its set $\mathcal{R}$ of Lyapunov-Perron regular points, that is, the collection of trajectories of $f$ that obey the conclusions o
Externí odkaz:
http://arxiv.org/abs/2409.01798
This is the first part of a series of papers devoted to the study of linear cocycles over chaotic systems. In the present paper, we show that every $\mathrm{SL}(d,\mathbb{R})$ cocycle over a shift of finite type either admits a dominated splitting or
Externí odkaz:
http://arxiv.org/abs/2408.13921
Autor:
Bochi, Jairo
We construct examples of continuous $\mathrm{GL}(2,\mathbb{R})$-cocycles which are not uniformly hyperbolic despite having the same non-zero Lyapunov exponents with respect to all invariant measures. The base dynamics can be any non-trivial subshift
Externí odkaz:
http://arxiv.org/abs/2408.03878
Autor:
Tenaglia, Giuseppe
In this paper we introduce a class of non uniformly expanding random dynamical system with additive noise and we prove a BV estimate between the stationary measure and the quasistationary measure of the system. Furthermore, we use these bounds to giv
Externí odkaz:
http://arxiv.org/abs/2408.03688
Autor:
Li, Dongchen
The aim of this paper is twofold. First, motivated by the nearly-affine blender system found in [LT24], we introduce standard blenders and their variations, and prove their fundamental properties on the generation of $C^1$-robust tangencies. Next, as
Externí odkaz:
http://arxiv.org/abs/2406.12500
Autor:
Araujo, Vitor, Salgado, Luciana
We show the existence of physical measures for $C^{\infty}$ smooth instances of certain partially hyperbolic dynamics, both continuous and discrete, exhibiting mixed behavior (positive and negative Lyapunov exponents) along the central non-uniformly
Externí odkaz:
http://arxiv.org/abs/2405.10144
Autor:
Canestrari, Giovanni, Lenci, Marco
We study the property of global-local mixing for full-branched expanding maps of either the half-line or the interval, with one indifferent fixed point. Global-local mixing expresses the decorrelation of global vs local observables w.r.t. to an infin
Externí odkaz:
http://arxiv.org/abs/2405.05948
For $C^{1+}$ maps, possibly non-invertible and with singularities, we prove that each homoclinic class of an adapted hyperbolic measure carries at most one adapted hyperbolic measure of maximal entropy. We then apply this to study the finiteness/uniq
Externí odkaz:
http://arxiv.org/abs/2405.04676