Optimal linear response for Markov Hilbert–Schmidt integral operators and stochastic dynamical systems
We consider optimal control problems for discrete-time random dynamical systems, finding
unique perturbations that provoke maximal responses of statistical properties of the system …
unique perturbations that provoke maximal responses of statistical properties of the system …
Homogenization of biased convolution type operators
This paper deals with homogenization of parabolic problems for integral convolution type
operators with a non-symmetric jump kernel in a periodic elliptic medium. It is shown that the …
operators with a non-symmetric jump kernel in a periodic elliptic medium. It is shown that the …
Sharp threshold for the ballisticity of the random walk on the exclusion process
D Kious, PF Rodriguez - ar**
A Faggionato, N Gantert, M Salvi - 2019 - projecteuclid.org
We consider one-dimensional Mott variable-range hop**. This random walk is an effective
model for the phonon-induced hop** of electrons in disordered solids within the regime of …
model for the phonon-induced hop** of electrons in disordered solids within the regime of …
Quantum systems in Markovian environments
H Gzyl - arxiv preprint arxiv:2308.07996, 2023 - arxiv.org
In this work, we develop a mathematical framework to model a quantum system whose
Hamiltonian may depend on the state of changing environment, that evolves according to a …
Hamiltonian may depend on the state of changing environment, that evolves according to a …
Regularity of biased 1D random walks in random environment
We study the asymptotic properties of nearest-neighbor random walks in 1d random
environment under the influence of an external field of intensity $\lambda\in\mathbb {R} …
environment under the influence of an external field of intensity $\lambda\in\mathbb {R} …
[PDF][PDF] Sharp threshold for the ballisticity of the random walk on the exclusion process
G Conchon-Kerjan, D Kious, PF Rodriguez - 2024 - ma.imperial.ac.uk
We study a non-reversible random walk advected by the symmetric simple exclusion
process, so that the walk has a local drift of opposite sign when sitting atop an occupied or …
process, so that the walk has a local drift of opposite sign when sitting atop an occupied or …