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Upper bounds on the rate of quantum ergodicity [PDF]

Annales Henri Poincaré, 2005
We study the semiclassical behaviour of eigenfunctions of quantum systems with ergodic classical limit. By the quantum ergodicity theorem almost all of these eigenfunctions become equidistributed in a weak sense.
Doi Annales, Roman Schubert
core   +5 more sources

Ergodicity and mixing bounds for the Fisher-Snedecor diffusion [PDF]

Bernoulli, 2013
We consider the Fisher-Snedecor diffusion; that is, the Kolmogorov-Pearson diffusion with the Fisher-Snedecor invariant distribution. In the nonstationary setting, we give explicit quantitative rates for the convergence rate of respective finite ...
Kulik, A. M., Leonenko, N. N.
core   +4 more sources

Subexponential lower bounds for <i>f</i>-ergodic Markov processes. [PDF]

Probab Theory Relat Fields
AbstractWe provide a criterion for establishing lower bounds on the rate of convergence in f-variation of a continuous-time ergodic Markov process to its invariant measure. The criterion consists of novel super- and submartingale conditions for certain functionals of the Markov process.
Brešar M, Mijatović A.
europepmc   +3 more sources

Ergodicity and Related Bounds for One Particular Class of Markovian Time—Varying Queues with Heterogeneous Servers and Customer’s Impatience

Mathematics, 2023
We consider a non-standard class of Markovian time: varying infinite capacity queues with possibly heterogeneous servers and impatience. We assume that during service time, a customer may switch to the faster server (with no delay), when such a server ...
Yacov Satin, Rostislav Razumchik, Ivan Kovalev, Alexander Zeifman   +3 more
doaj   +1 more source

Ergodicity Bounds and Limiting Characteristics for a Modified Prendiville Model

Mathematics, 2022
We consider the time-inhomogeneous Prendiville model with failures and repairs. The property of weak ergodicity is considered, and estimates of the rate of convergence for the main probabilistic characteristics of the model are obtained. Several examples
Ilya Usov, Yacov Satin, Alexander Zeifman, Victor Korolev   +3 more
doaj   +1 more source

Mean ergodic theorems for power bounded measures

Journal of Mathematical Analysis and Applications, 2021
The classical Kawada-Itô theorem asserts that the sequence $\left\{\frac{1}{n} \sum_{k=1}^n \mu^k\right\}_{n=1}^\infty$ of probability measures will weakly$^*$ tend to the Haar measure of a compact separable group $G$, provided that $\mu$ is such a probability measure on $G$ that it generates $G$.
Mustafayev, Heybetkulu, Sevli, Hamdullah
openaire   +4 more sources

Bounds for estimators of ergodic averages [PDF]

International Journal of Mathematical Analysis, 2013
Fil: Meson, Alejandro Mario. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - La Plata. Instituto de Fisica de Liquidos y Sistemas Biologicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas.
Mesón, Alejandro Mario, Vericat, Fernando   +1 more
openaire   +3 more sources

Numerical Computation of Distributions in Finite-State Inhomogeneous Continuous Time Markov Chains, Based on Ergodicity Bounds and Piecewise Constant Approximation

Mathematics, 2023
In this paper it is shown, that if a possibly inhomogeneous Markov chain with continuous time and finite state space is weakly ergodic and all the entries of its intensity matrix are locally integrable, then, using available results from the perturbation
Yacov Satin, Rostislav Razumchik, Ilya Usov, Alexander Zeifman   +3 more
doaj   +1 more source

On the rate of quantum ergodicity I: Upper bounds [PDF]

Communications in Mathematical Physics, 1994
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null Steven Zelditch, null Steven Zelditch   +1 more
openaire   +3 more sources