Stochastic equation on compact groups in discrete negative time

Jirô Akahori; Chihiro Uenishi; Kouji Yano

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Stochastic equation on compact groups in discrete negative time

Jirô Akahori·Chihiro Uenishi·Kouji Yano

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Abstract

In this paper a stochastic equation on compact groups in discrete negative time is studied. This is closely related to Tsirelson's stochastic differential equation, of which any solution is non-strong. How the group action reflects on the set of solutions is investigated. It is applied to generalize Yor's result and give a necessary and sufficient condition for existence of a strong solution and for uniqueness in law.

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BibTeX RIS

Jirô Akahori, Chihiro Uenishi, Kouji Yano. 2006-03-04. Stochastic equation on compact groups in discrete negative time. https://arxiv.org/abs/math/0603113

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