A stochastic interpretation of the parametrix method

UDC 519.21 We revisit, in a didactic manner and by using stochastic analysis, the parametrix method and its application to unbiased simulation.  We consider, in particular, the case of one-dimensional diffusions without drift.

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Datum:2023
1. Verfasser: Kohatsu-Higa, A.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2023
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/7382
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Beschreibung
Zusammenfassung:UDC 519.21 We revisit, in a didactic manner and by using stochastic analysis, the parametrix method and its application to unbiased simulation.  We consider, in particular, the case of one-dimensional diffusions without drift.
DOI:10.3842/umzh.v75i11.7382