A new optimal transport argument shows that Dyson Brownian motions with beta at least 2, and their scaling limits, have Brownian-like uniform modulus of continuity bounds with constants independent of the particle layer.
Stochastic L oewner evolution and D yson's circular ensembles
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Applications of optimal transport to Dyson Brownian Motions and beyond
A new optimal transport argument shows that Dyson Brownian motions with beta at least 2, and their scaling limits, have Brownian-like uniform modulus of continuity bounds with constants independent of the particle layer.