In this paper we obtain restricted Markov uniqueness of the generator and uniqueness of
martingale (probabilistically weak) solutions for the stochastic quantization problem in both …

This is an exciting time for those who are interested in stochastic partial differential
equations. The recent groundbreaking work by Martin Hairer on regularity structures and …

The purpose of this work is to provide an explicit construction of a strong Feller semigroup
on the space of probability measures over the real line that additionally maps bounded …

One proves the exact controllability of the Fokker--Planck equation \rho_t-\frac12\Delta(uρ)-
div(bρ)=0, ρ(0)=\rho_0, ρ(T)=\rho_1, on a bounded domain O with reflecting conditions on …

Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional
domains Page 1 www.imstat.org/aihp Annales de l’Institut Henri Poincaré - Probabilités et …

In this paper we define jump set and approximate limits for BV functions on Wiener spaces
and show that the weak gradient admits a decomposition similar to the finite dimensional …

We study the basic theory of BV functions in a Hilbert space X endowed with a (not
necessarily Gaussian) probability measure ν ν. We present necessary and sufficient …

Sobolev classes of functions of generalized differentiability belong to the major analytic
achievements in the XX century and have found impressive applications in the most diverse …

We study surface measures on level sets of functions on general probability spaces with
measures differentiable along vector fields and suggest a new simple construction. Our …

In this paper, we introduce a definition of BV functions for (non-Gaussian) differentiable
measure in a Gelfand triple which is an extension of the definition of BV functions in [Ann …