Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Lamb, Jeroen S. W."'
We develop a powerful and general method to provide arbitrarily accurate rigorous upper and lower bounds for Lyapunov exponents of stochastic flows. Our approach is based on computer-assisted tools, the adjoint method and established results on the e
Externí odkaz:
http://arxiv.org/abs/2411.07064
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
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
We propose a notion of conditioned stochastic stability of invariant measures on repellers: we consider whether quasi-ergodic measures of absorbing Markov processes, generated by random perturbations of the deterministic dynamics and conditioned upon
Externí odkaz:
http://arxiv.org/abs/2405.01343
We consider invertible linear maps with additive spherical bounded noise. We show that minimal attractors of such random dynamical systems are unique, strictly convex and have a continuously differentiable boundary. Moreover, we present an auxiliary
Externí odkaz:
http://arxiv.org/abs/2310.03437
We consider transitions to chaos in random dynamical systems induced by an increase of noise amplitude. We show how the emergence of chaos (indicated by a positive Lyapunov exponent) in a logistic map with bounded additive noise can be analyzed in th
Externí odkaz:
http://arxiv.org/abs/2308.07116
Autor:
Gabel, Alex, Klein, Victoria, Valperga, Riccardo, Lamb, Jeroen S. W., Webster, Kevin, Quax, Rick, Gavves, Efstratios
The problem of detecting and quantifying the presence of symmetries in datasets is useful for model selection, generative modeling, and data analysis, amongst others. While existing methods for hard-coding transformations in neural networks require p
Externí odkaz:
http://arxiv.org/abs/2307.01583
We propose a notion of random horseshoe for one-dimensional random dynamical systems. We prove the abundance of random horseshoes for a class of circle endomorphisms subject to additive noise, large enough to make the Lyapunov exponent positive. In p
Externí odkaz:
http://arxiv.org/abs/2304.03685
In this paper, we consider absorbing Markov chains $X_n$ admitting a quasi-stationary measure $\mu$ on $M$ where the transition kernel $\mathcal P$ admits an eigenfunction $0\leq \eta\in L^1(M,\mu)$. We find conditions on the transition densities of
Externí odkaz:
http://arxiv.org/abs/2209.01281
Time-reversal symmetry arises naturally as a structural property in many dynamical systems of interest. While the importance of hard-wiring symmetry is increasingly recognized in machine learning, to date this has eluded time-reversibility. In this p
Externí odkaz:
http://arxiv.org/abs/2204.12323