Results 21 to 30 of about 14,174 (225)
Weak approximation rates for integral functionals of Markov processes
Modern Stochastics: Theory and Applications, 2015 We obtain weak rates for approximation of an integral functional of a Markov process by integral sums. An assumption on the process is formulated only in terms of its transition probability density, and, therefore, our approach is not strongly dependent ...
Iurii Ganychenko, Alexei Kulik
doaj +1 more source
How Quantum Evolution with Memory is Generated in a Time-Local Way
Physical Review X, 2021 Two widely used but distinct approaches to the dynamics of open quantum systems are the Nakajima-Zwanzig and time-convolutionless quantum master equation, respectively.
K. Nestmann, V. Bruch, M. R. Wegewijs
doaj +1 more source
Asymptotic behavior of a regime-switching SIR epidemic model with degenerate diffusion
Advances in Difference Equations, 2018 In this paper, we consider a stochastic SIR epidemic model with regime switching. The Markov semigroup theory will be employed to obtain the existence of a unique stable stationary distribution.
Manli Jin, Yuguo Lin, Minghe Pei
doaj +1 more source
On reverse hypercontractivity [PDF]
, 2012 We study the notion of reverse hypercontractivity. We show that reverse hypercontractive inequalities are implied by standard hypercontractive inequalities as well as by the modified log-Sobolev inequality.
Mossel, Elchanan +2 more
core +4 more sources
Decoherence of quantum Markov semigroups [PDF]
Annales de l'Institut Henri Poincare (B) Probability and Statistics, 2005 This paper presents a probabilistic interpretation of decoherence based on the reduction of a quantum Markov semigroup \({\mathcal T}\) on an operator algebra \({\mathcal A}\) to a classical Markov semigroup on an abelian subalgebra of \({\mathcal A}\) which is \({\mathcal T}\)-invariant.
openaire +5 more sources
Asymptotic Dynamics of a Stochastic SIR Epidemic System Affected by Mixed Nonlinear Incidence Rates
Complexity, 2020 This paper considers a stochastic SIR epidemic system affected by mixed nonlinear incidence rates. Using Markov semigroup theory and the Fokker–Planck equation, we explore the asymptotic dynamics of the stochastic system.
Ping Han, Zhengbo Chang, Xinzhu Meng
doaj +1 more source
A Simple Repairable System with Warning Device
Journal of Function Spaces, 2015 This paper considers a simple repairable system with a warning device which can signal an alarm when the system is not in good condition and a repairman who can have delayed-multiple vacations.
Xiao Zhang, Lina Guo
doaj +1 more source
Mean-field approximation of counting processes from a differential equation perspective
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Deterministic limit of a class of continuous time Markov chains is considered based purely on differential equation techniques. Starting from the linear system of master equations, ordinary differential equations for the moments and a partial ...
Dávid Kunszenti-Kovács, Péter Simon
doaj +1 more source
Stability Analysis of a Repairable System with Warning Device and Repairman Vacation
Journal of Function Spaces and Applications, 2013 This paper considers a simple repairable system with a warning device and a repairman who can have delayed-multiple vacations. By Markov renewal process theory and the probability analysis method, the system is first transformed into a group of ...
Yangli Ren, Lina Guo, Lingling Zhang
doaj +1 more source
Advances in Difference Equations, 2017 In this paper, we consider a stochastic SI epidemic model with regime switching. The Markov semigroup theory is employed to obtain the existence of a unique stable stationary distribution.
Yuguo Lin, Manli Jin, Li Guo
doaj +1 more source