Zobrazeno 1 - 10
of 1 091
pro vyhledávání: '"37d20"'
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
In this paper, we consider a class of affined Anosov mappings with quasi-periodic forces, and show that there is a unique positive integer $m$, which only depends on the system, such that the exponential growth rate of the cardinality of invariant to
Externí odkaz:
http://arxiv.org/abs/2411.14844
Autor:
Sharp, Richard
We give two short proofs of the abelian Livsi\v{c} theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livsic theorems for positive density sets of null-homologous orbits and for amenable covers.
Externí odkaz:
http://arxiv.org/abs/2410.17104
We derive a necessary and sufficient condition for an $\Omega-$stable diffeomorphism to be a topologically transitive Anosov diffeomorphism: to exhibit a nonempty intersection of the stable and unstable manifolds of any pair of periodic orbits. To el
Externí odkaz:
http://arxiv.org/abs/2410.12958
Autor:
Blumenthal, Alex, Huynh, Manh Khang
In 1959, Batchelor gave a prediction for the power spectral density of a passive scalar advected by an incompressible fluid exhibiting shear-straining, a mechanism for the creation of small scales in the scalar [Bat59]. Recently, a `cumulative' versi
Externí odkaz:
http://arxiv.org/abs/2410.05473
Autor:
Suzuki, Shintaro
We consider the Perron-Frobenius operator defined on the space of functions of bounded variation for the beta-map $\tau_\beta(x)=\beta x$ (mod $1$), for $\beta\in(1,\infty)$, and investigate its isolated eigenvalues except $1$, called non-leading eig
Externí odkaz:
http://arxiv.org/abs/2410.00411
Let $f$ and $g$ be two volume preserving, Anosov diffeomorphisms on $\mathbb{T}^2$, sharing common stable and unstable cones. In this paper, we find conditions for the existence of (dissipative) neighborhoods of $f$ and $g$, $\mathcal{U}_f$ and $\mat
Externí odkaz:
http://arxiv.org/abs/2409.18252
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:
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
In a class of heterogeneous random networks, where each node dynamics is a random dynamical system, interacting with neighbor nodes via a random coupling function, we characterize the hub behavior as the mean-field, subject to statistically controlle
Externí odkaz:
http://arxiv.org/abs/2408.11178