Logarithmic Sobolev inequalities for unbounded spin systems revisited
Lototsky-Schnabl Operators Associated with a Strictly Elliptic Differential Operator and Their Corresponding Feller Semigroup.
Lower bounds on //K...//1...... For some contractions K of L² (...), with applications to Markov operators.
Markov operators: applications to diffusion processes and population dynamics
This note contains a survey of recent results concerning asymptotic properties of Markov operators and semigroups. Some biological and physical applications are given.
Markovian bridges and reversible diffusion processes with jumps
Measures of finite (r,p)-energy and potentials on a separable metric space
New approach to streaming semigroups with dissipative boundary conditions.
Non-commutative symmetric Markov semigroups.
(Nonsymmetric) Dirichlet operators on : existence, uniqueness and associated Markov processes
Note on analytic regularity of heat kernels on nilpotent Lie groups
Let G be the simplest nilpotent Lie group of step 3. We prove that the densities of the semigroup generated by the sublaplacian on G are not real-analytic.
On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions
We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.
On a model for quantum friction. I. Fermi's golden rule and dynamics at zero temperature
On a theorem of H. P. Lotz on quasi-compactness of Markov operators
On analyticity of Ornstein-Uhlenbeck semigroups
Let be a transition semigroup of the Hilbert space-valued nonsymmetric Ornstein-Uhlenbeck process and let denote its Gaussian invariant measure. We show that the semigroup is analytic in if and only if its generator is variational. In particular, we show that the transition semigroup of a finite dimensional Ornstein-Uhlenbeck process is analytic if and only if the Wiener process is nondegenerate.
On differences of self-adjoint semigroups
On exit laws for subordinated semigroups by means of -subordinators
We study the integral representation of potentials by exit laws in the framework of sub-Markovian semigroups of bounded operators acting on . We mainly investigate subordinated semigroups in the Bochner sense by means of -subordinators. By considering the one-sided stable subordinators, we deduce an integral representation for the original semigroup.
On quantum extensions of the Azéma martingale semi-group
On smoothing properties of transition semigroups associated to a class of SDEs with jumps
We prove smoothing properties of nonlocal transition semigroups associated to a class of stochastic differential equations (SDE) in driven by additive pure-jump Lévy noise. In particular, we assume that the Lévy process driving the SDE is the sum of a subordinated Wiener process (i.e. , where is an increasing pure-jump Lévy process starting at zero and independent of the Wiener process ) and of an arbitrary Lévy process independent of , that the drift coefficient is continuous (but not...
On the Kantorovich-Rubinstein maximum principle for the Fortet-Mourier norm
A new version of the maximum principle is presented. The classical Kantorovich-Rubinstein principle gives necessary conditions for the maxima of a linear functional acting on the space of Lipschitzian functions. The maximum value of this functional defines the Hutchinson metric on the space of probability measures. We show an analogous result for the Fortet-Mourier metric. This principle is then applied in the stability theory of Markov-Feller semigroups.
On the lattice boundary of Markov operators