22 citations · 122 across the 16 of their papers we have counts for
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Dunkl jump processes: relaxation and a phase transition
Sergio Andraus
Dunkl processes are multidimensional Markov processes defined through the use of Dunkl operators. These processes have discontinuities, and they can be separated into their continu…
Two-step asymptotics of scaled Dunkl processes
Sergio Andraus, Seiji Miyashita
Dunkl processes are generalizations of Brownian motion obtained by using the differential-difference operators known as Dunkl operators as a replacement of spatial partial derivati…
Multiple-particle diffusion processes from the viewpoint of Dunkl operators: relaxation to the steady state
Sergio Andraus
Two families of stochastic interacting particle systems, the interacting Brownian motions and Bessel processes, are defined as extensions of Dyson's Brownian motion models and the…
Two limiting regimes of interacting Bessel processes
Sergio Andraus, Makoto Katori, Seiji Miyashita
We consider the interacting Bessel processes, a family of multiple-particle systems in one dimension where particles evolve as individual Bessel processes and repel each other via…
Calogero-Moser Systems as a Diffusion-Scaling Transform of Dunkl Processes on the Line
Sergio Andraus, Makoto Katori, Seiji Miyashita
The Calogero-Moser systems are a series of interacting particle systems on one dimension that are both classically and quantum-mechanically integrable. Their integrability has been…
Interacting Particles on the Line and Dunkl Intertwining Operator of Type A: Application to the Freezing Regime
Sergio Andraus, Makoto Katori, Seiji Miyashita
We consider a one-dimensional system of Brownian particles that repel each other through a logarithmic potential. We study two formulations for the system and the relation between…