Markovian master equations. III
Markovian perturbation, response and fluctuation dissipation theorem
We consider the Fluctuation Dissipation Theorem (FDT) of statistical physics from a mathematical perspective. We formalize the concept of “linear response function” in the general framework of Markov processes. We show that for processes out of equilibrium it depends not only on the given Markov process X(s) but also on the chosen perturbation of it. We characterize the set of all possible response functions for a given Markov process and show that at equilibrium they all satisfy the FDT. That is,...
Markov-Komposition und eine Anwendung auf Martingale.
Martin boundaries of some branching processes
Martin boundary associated with a system of PDE
In this paper, we study the Martin boundary associated with a harmonic structure given by a coupled partial differential equations system. We give an integral representation for non negative harmonic functions of this structure. In particular, we obtain such results for biharmonic functions (i.e. ) and for non negative solutions of the equation .
Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.
In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.
Martin boundary for Schrödinger operators with singularity.
Martingale problems for conditional distributions of Markov processes.
Martingales and profile of binary search trees.
Martingales browniennes et conjecture de Sakai
Martingales et changement de temps
Martingales locales à accroissements indépendants
Martingales locales et théorème de Girsanov dans les espaces de Hilbert réels séparables
Martingales locales fonctionnelles additives (I)
Martingales locales fonctionnelles additives (II)
Mathematical model of mixing in Rumen
A mathematical model of mixing food in rumen is presented. The model is based on the idea of the Baker Transformation, but exhibits some different phenomena: the transformation does not mix points at all in some parts of the phase space (and under some conditions mixes them strongly in other parts), as observed in ruminant animals.
Mathematical theory of improvability of production systems.
Matrices of positive polynomials.
Maximal brownian motions
Let Z=(X, Y) be a planar brownian motion, the filtration it generates, andBa linear brownian motion in the filtration . One says thatB(or its filtration) is maximal if no other linear -brownian motion has a filtration strictly bigger than that ofB. For instance, it is shown in [In Séminaire de Probabilités XLI 265–278 (2008) Springer] that B is maximal if there exists a linear brownian motion C independent of B and such that the planar brownian motion (B, C) generates the same filtration asZ....
Maximal inequalities for Bessel processes.