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math.PR2024
Continuous flows driving Markov processes and multiplicative -semigroups
Lucian Beznea, Mounir Bezzarga, Iulian Cimpean
We develop a method of driving a Markov processes through a continuous flow. In particular, at the level of the transition functions we investigate an approach of adding a first or…
math.PR2024
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…
math.NA2024
Numerical spectral analysis of Cauchy-type inverse problems: A probabilistic approach
Iulian Cîmpean, Andreea Grecu, Liviu Marin
We investigate the inverse Cauchy and data completion problems for elliptic partial differential equations in a bounded domain , , with a special e…