Zobrazeno 1 - 10
of 2 384
pro vyhledávání: '"Exponential mixing"'
Autor:
DeWitt, Jonathan, Dolgopyat, Dmitry
We show that the Bernoulli random dynamical system associated to a expanding on average tuple of volume preserving diffeomorphisms of a closed surface is exponentially mixing.
Comment: 102 pages
Comment: 102 pages
Externí odkaz:
http://arxiv.org/abs/2410.08445
Autor:
Nguyen, Hung D., Oza, Anand U.
We conduct an analysis of a stochastic hydrodynamic pilot-wave theory, which is a Langevin equation with a memory kernel that describes the dynamics of a walking droplet (or "walker") subjected to a repulsive singular potential and random perturbatio
Externí odkaz:
http://arxiv.org/abs/2410.08070
We establish a new criterion for exponential mixing of random dynamical systems. Our criterion is applicable to a wide range of systems, including in particular dispersive equations. Its verification is in nature related to several topics, i.e., asym
Externí odkaz:
http://arxiv.org/abs/2407.15058
Quantum channels, pivotal in information processing, describe transformations within quantum systems and enable secure communication and error correction. Ergodic and mixing properties elucidate their behavior. In this paper, we establish a sufficien
Externí odkaz:
http://arxiv.org/abs/2407.16031
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 this work we consider the Lagrangian properties of a random version of the Arnold-Beltrami-Childress (ABC) in a three-dimensional periodic box. We prove that the associated flow map possesses a positive top Lyapunov exponent and its associated one
Externí odkaz:
http://arxiv.org/abs/2407.18028
Autor:
Zhang, Daofei
For a surface semiflow that is a suspension of a \( C^{1+\alpha} \) expanding Markov interval map, we prove that, under the assumptions that the roof function is Lipschitz continuous and not cohomologous to a locally constant function, the semiflow e
Externí odkaz:
http://arxiv.org/abs/2406.12759
This paper examines Poisson stable (including stationary, periodic, almost periodic, Levitan almost periodic, Bohr almost automorphic, pseudo-periodic, Birkhoff recurrent, pseudo-recurrent, etc.) measures and limit theorems for stochastic functional
Externí odkaz:
http://arxiv.org/abs/2405.06938
This paper investigates the existence and uniqueness of solutions, as well as the ergodicity and exponential mixing to invariant measures, and limit theorems for a class of McKean-Vlasov SPDEs characterized by H\"lder continuity. We rigorously establ
Externí odkaz:
http://arxiv.org/abs/2405.06223
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