10 citations · 10 across the 4 of their papers we have counts for
7 papers · 1 filter
Construction of Hunt processes by the Lyapunov method and applications to generalized Mehler semigroups
Lucian Beznea, Iulian Cîmpean, Michael Röckner
In this paper we deal with the problem of characterizing those generalized Mehler semigroups that do correspond to càdlàg Markov processes, which is highly non-trivial and has rema…
A natural extension of Markov processes and applications to singular SDEs
Lucian Beznea, Iulian Cîmpean, Michael Röckner
We develop a general method for extending Markov processes to a larger state space such that the added points form a polar set. The so obtained extension is an improvement on the s…
Measure-valued branching processes associated with Neumann nonlinear semiflows
Viorel Barbu, Lucian Beznea
We construct a measure-valued branching Markov process associated with a nonlinear boundary value problem, where the boundary condition has a nonlinear pseudo monotone branching me…
Invariant, super and quasi-martingale functions of a Markov process
Iulian Cîmpean, Lucian Beznea
We identify the linear space spanned by the real-valued excessive functions of a Markov process with the set of those functions which are quasimartingales when we compose them with…
Quasimartingales associated to Markov processes
Lucian Beznea, Iulian Cîmpean
For a fixed right process we investigate those functions for which is a quasimartingale. We prove that is a quasimartingale if and only if is the dif- fer…
On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets
Lucian Beznea, Gerald Trutnau
We obtain a criterion for the quasi-regularity of generalized (non-sectorial) Dirichlet forms, which extends the result of P.J. Fitzsimmons on the quasi-regularity of (sectorial) s…