7 citations · 8 across the 3 of their papers we have counts for
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The logarithmic derivative for point processes with equivalent Palm measures
Alexander I. Bufetov, Andrey V. Dymov, Hirofumi Osada
The logarithmic derivative of a point process plays a key role in the general approach, due to the third author, to constructing diffusions preserving a given point process. In thi…
Stochastic differential equations related to random matrix theory
Hirofumi Osada, Hideki Tanemura
In this note we review recent results on existence and uniqueness of solutions of infinite-dimensional stochastic differential equations describing interacting Brownian motions on…
Non-collision and collision properties of Dyson's model in infinite dimension and other stochastic dynamics whose equilibrium states are determinantal random point fields
Hirofumi Osada
Dyson's model on interacting Brownian particles is a stochastic dynamics consisting of an infinite amount of particles moving in with a logarithmic pair interaction potentia…
Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials II: Airy random point field
Hirofumi Osada
We give a new sufficient condition of the quasi-Gibbs property. This result is a refinement of one given in a previous paper (\cite{o.rm}), and will be used in a forth coming paper…