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Natalia Smorodina, 29th October
Steklov Institute of MathematicsNatalia Smorodina, 29th October
Title: A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Sources of Branching
Title: A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Sources of Branching
Abstract: A one-dimensional branching Wiener process is considered, where the branching rate is a linear combination of delta functions minus a certain positive constant. The semigroup of operators corresponding to this process is constructed, and analogs of the forward and backward Kolmogorov equations are derived.
A limit theorem is proven.
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