The search session has expired. Please query the service again.
Displaying 81 –
100 of
106
The chemical master equation is a fundamental equation in chemical kinetics. It underlies the classical reaction-rate equations and takes stochastic effects into account. In this paper we give a simple argument showing that the solutions of a large class of chemical master equations are bounded in weighted ℓ1-spaces and possess high-order moments. This class includes all equations in which no reactions between two or more already present molecules and further external reactants occur that add mass...
Se considera una solución recursiva para una cadena de Markov n-dimensional en tiempo continuo, basada en una función entera K y en la que aparece una familia de polinomios. Se hace un estudio de esta familia, a partir del análisis de una clase de subconjuntos de Im(K), con el objetivo de encontrar la subfamilia de polinomios que aparece explícitamente en la solución recursiva, en términos de la distribución de probabilidad absoluta de la cadena, y la subfamilia que es necesario y suficiente calcular...
In this paper, we consider a birth–death process with generator and reversible invariant probabilityπ. Given an increasing function ρ and the associated Lipschitz norm ‖⋅‖Lip(ρ), we find an explicit formula for . As a typical application, with spectral theory, we revisit one variational formula of M. F. Chen for the spectral gap of inL2(π). Moreover, by Lyons–Zheng’s forward-backward martingale decomposition theorem, we get convex concentration inequalities for additive functionals of birth–death...
We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on
phenomena related to unboundedness of the Laplacians. This includes (failure of) essential
selfadjointness, absence of essential spectrum and stochastic incompleteness.
Sur un ensemble fini, on s'intéresse aux minorations linéaires
du trou spectral d'un noyau markovien réversible, en terme de
la constante isopérimétrique associée. On montre que la constante
optimale est l'inverse du cardinal de l'ensemble moins un, mais
on verra aussi comment il est possible de l'améliorer dans
certaines situations particulières (arbres pointés radiaux
à nombre fini de générations). Une application des inégalités
précédentes est de retrouver immédiatement le comportement...
Currently displaying 81 –
100 of
106