Zobrazeno 1 - 10
of 709
pro vyhledávání: '"37C30"'
Publikováno v:
Colloquium Mathematicum 134(2014), 1-55
We prove an invariance principle for non-stationary random processes and establish a rate of convergence under a new type of mixing condition. The dependence is exponentially decaying in the gap between the past and the future and is controlled by an
Externí odkaz:
http://arxiv.org/abs/2412.15555
Autor:
Marra, Mateus, Smania, Daniel
Given two H\"older potentials $\phi_+$ and $\psi_-$ for the unilateral shift, we define anisotropic Banach spaces of distributions on the bilateral shift space with a finite alphabet. On these spaces, the transfer operator for the bilateral shift is
Externí odkaz:
http://arxiv.org/abs/2411.15050
We prove a regularized determinant formula for the zeta functions of certain 3-dimensional Riemannian foliated dynamical systems, in terms of the infinitesimal operator induced by the flow acting on the reduced leafwise cohomologies. It is the formul
Externí odkaz:
http://arxiv.org/abs/2410.20758
We study the asymptotic behaviour of stationary densities of one-dimensional random diffeomorphisms, at the boundaries of their support, which correspond to deterministic fixed points of extremal diffeomorphisms. In particular, we show how this stati
Externí odkaz:
http://arxiv.org/abs/2410.18554
Autor:
Jézéquel, Malo, Zung, Jonathan
To a transitive pseudo-Anosov flow $\varphi$ on a $3$-manifold $M$ and a representation $\rho$ of $\pi_1(M)$, we associate a zeta function $\zeta_{\varphi,\rho}(s)$ defined for $\Re s \gg 1$, generalizing the Anosov case. For a class of ``smooth pseu
Externí odkaz:
http://arxiv.org/abs/2409.17014
Given a non-invertible dynamical system with a transfer operator, we show there is a minimal cover with a transfer operator that preserves continuous functions. We also introduce an essential cover with even stronger continuity properties. For one-si
Externí odkaz:
http://arxiv.org/abs/2408.11917
Autor:
Chow, Michael, Sarkar, Pratyush
Let $\Gamma$ be a Zariski dense $\Theta$-Anosov subgroup of a connected semisimple real algebraic group for some nonempty subset of simple roots $\Theta$. In the Anosov setting, there is a natural compact metric space $\mathcal{X}$ equipped with a fa
Externí odkaz:
http://arxiv.org/abs/2408.11274
Autor:
Li, Zhiqiang, Sun, Yiqing
We investigate the correspondence between thermodynamic formalism and ergodic optimization. It has been known that the Bousch operator $\mathcal{L}_A$ is tropical linear and corresponds to the Ruelle operator $\mathcal{R}_A$. In this paper, we presen
Externí odkaz:
http://arxiv.org/abs/2408.10169
We develop a versatile framework which allows us to rigorously estimate the Hausdorff dimension of maximal conformal graph directed Markov systems in $\mathbb{R}^n$ for $n \geq 2$. Our method is based on piecewise linear approximations of the eigenfu
Externí odkaz:
http://arxiv.org/abs/2408.06330
Autor:
Vytnova, Polina, Wormell, Caroline
The Apollonian gasket is a well-studied circle packing. Important properties of the packing, including the distribution of the circle radii, are governed by its Hausdorff dimension. No closed form is currently known for the Hausdorff dimension, and i
Externí odkaz:
http://arxiv.org/abs/2406.04922