arXiv subjects

Takao Hirayama

Publications and source records attributed to Takao Hirayama.

2 recordsLinked to original sources

arXiv2012

Strong solutions of Tsirelson's equation in discrete time taking values in compact spaces with semigroup action

Under the assumption that the infinite product of evolution process converges almost surely, the set of strong solutions are characterized by a compact space, which may be regarded as the set of possible initial states.

math.PR↗

arXiv2010

Extremal solutions for stochastic equations indexed by negative integers and taking values in compact groups

Stochastic equations indexed by negative integers and taking values in compact groups are studied. Extremal solutions of the equations are characterized in terms of infinite products of independent random variables. This result is applied to characterize several properties of the set of all solutions in terms of the law of the driving noise.

math.PR↗