Convergence of skew Brownian motions with local times at several points that are contracted into a single one


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Resumo

Conditions of convergence in mean of skew Brownian motions with local times at several points that are contracted into a limit point are obtained. It is proved that the limit process is also a skew Brownian motion with local time at the limit point. A formula to calculate the coefficient of the local time of the limit process is given.

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Ivan Krykun

Pervomais’k Polytechnical Institute, Admiral Makarov National Shipbuilding University, Pervomais’k, Ukraine & Institute of Applied Mathematics and Mechanics of the NAS of Ukraine

Autor responsável pela correspondência
Email: iwanko@i.ua
Ucrânia, Slov’yansk

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