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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 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…