Zobrazeno 1 - 10
of 952
pro vyhledávání: '"37D25"'
Autor:
Liao, Gang, Wang, Shirou
In the study of non-equilibrium statistical mechanics, Ruelle derived explicit formulae for entropy production of smooth dynamical systems. The vanishing or strictly positivity of entropy production is determined by the entropy formula of folding typ
Externí odkaz:
http://arxiv.org/abs/2411.18344
Autor:
Shaabanian, Saeed
Hitting rate and escape rate are two examples of recurrence laws for a dynamical system, and they are connected by a general limit. We show that for systems with $\phi$-mixing measure, this general limit is equal to one for non-periodic points and le
Externí odkaz:
http://arxiv.org/abs/2411.09633
In this note we introduce a notion of dichotomy which generalizes the classical concept of exponential dichotomy and the recent notion of Bohl dichotomy. A key attribute is the discussion of the sets of subspaces of the state space on which the dicho
Externí odkaz:
http://arxiv.org/abs/2411.06209
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