Marches de Markov sur le semi-groupe des contractions de . Cas de la marche aléatoire à pas markoviens sur avec chocs élastiques sur les axes
Markov operators acting on Polish spaces
We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.
Markov operators on the space of vector measures; coloured fractals
We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
Markovian Master Equations. II.
Markovian master equations. III
Matrices of positive polynomials.
Mesures invariantes sur des ensembles autosimilaires
Mild law of large numbers and its consequences
Moment matrix of self-similar measures.
Multiple recurrence for discrete time Markov processes
Multiple recurrence for discrete time Markov processes. II
Multivariate Markov Families of Copulas
For the Markov property of a multivariate process, a necessary and suficient condition on the multidimensional copula of the finite-dimensional distributions is given. This establishes that the Markov property is solely a property of the copula, i.e., of the dependence structure. This extends results by Darsow et al. [11] from dimension one to the multivariate case. In addition to the one-dimensional case also the spatial copula between the different dimensions has to be taken into account. Examples...