I. Cîmpean

collaborators

4 papers

math.AP2019

The nonlinear Schrödinger equation with white noise dispersion on quantum graphs

Iulian Cîmpean, Andreea Grecu

We show that the nonlinear Schrödinger equation (NLSE) with white noise dispersion on quantum graphs is globally well-posed in $L^{2}$ once the free deterministic Schrödinger group s…

math.PR2019

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…

math.PR2017

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…

math.PR2017

Quasimartingales associated to Markov processes

Lucian Beznea, Iulian Cîmpean

For a fixed right process $X$ we investigate those functions $u$ for which $u (X)$ is a quasimartingale. We prove that $u (X)$ is a quasimartingale if and only if $u$ is the dif- fer…