22 citations · 122 across the 16 of their papers we have counts for
Showing 2012Show all
2 papers · 1 filter
math-ph2012
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…
math-ph2012★ 22 cited
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…