Zobrazeno 1 - 10
of 994
pro vyhledávání: '"37a50"'
Autor:
Kosloff, Zemer, Sanadhya, Shrey
We show that for every ergodic and aperiodic probability preserving system $(X,\mathcal{B},m,T)$, there exists $f:X\to \mathbb{Z}^d$, whose corresponding cocycle satisfies the $d$-dimensional local central limit theorem. We use the $2$-dimensional re
Externí odkaz:
http://arxiv.org/abs/2409.05087
Autor:
Das, Suddhasattwa
A discrete-time deterministic dynamical system is governed at every step by a predetermined law. However the dynamics can lead to many complexities in the phase space and in the domain of observables that makes it comparable to a stochastic process.
Externí odkaz:
http://arxiv.org/abs/2409.02318
Despite the huge number of research into the three-body problem in physics and mathematics, the study of this problem still remains relevant both from the point of view of its broad application and taking into account its fundamental significance for
Externí odkaz:
http://arxiv.org/abs/2408.13969
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
Stochastic dynamical systems consisting of non-invertible continuous maps on an interval are studied. It is proved that if they satisfy the recently introduced so-called $\mu$-injectivity and some mild assumptions, then proximality, asymptotic stabil
Externí odkaz:
http://arxiv.org/abs/2408.07398
For H\"older continuous functions $f_i$, $i=0,\ldots ,d$, on a subshift of finite type and $\Theta\subset \mathbb \R^d$ we consider a parametrized family of potentials $\{F_\theta= f_0+\sum_{i=1}^d \theta_i f_i : \theta\in \Theta\}$. We show that the
Externí odkaz:
http://arxiv.org/abs/2408.01104
We use a Poisson point process approach to prove distributional convergence to a stable law for non square-integrable observables $\phi: [0,1]\to R$, mostly of the form $\phi (x) = d(x,x_0)^{-\frac{1}{\alpha}}$,$0<\alpha\le 2$, on Gibbs-Markov maps.
Externí odkaz:
http://arxiv.org/abs/2407.16632
Maglaras, Moallemi, and Zheng (2021) have introduced a flexible queueing model for fragmented limit-order markets, whose fluid limit remains remarkably tractable. In the present study we prove that, in the limit of small and frequent orders, the disc
Externí odkaz:
http://arxiv.org/abs/2407.04354
We consider a fluid governed by the randomly forced 2D Navier-Stokes system. It is assumed that the force is bounded, acts directly only on a small number of Fourier modes, and satisfies some natural decomposability and observability properties. Unde
Externí odkaz:
http://arxiv.org/abs/2406.17612
We establish a theory for multivariate extreme value analysis of dynamical systems. Namely, we provide conditions adapted to the dynamical setting which enable the study of dependence between extreme values of the components of $\R^d$-valued observab
Externí odkaz:
http://arxiv.org/abs/2406.14807