2 papers
math.PR2025
Operator level hard edge to bulk transition in -ensembles via canonical systems
Vincent Painchaud
The hard edge and bulk scaling limits of -ensembles are described by the stochastic Bessel and sine operators, which are respectively a random Sturm-Liouville operator and a ran…
math.PR2025
Operator level soft edge to bulk transition in -ensembles via canonical systems
Vincent Painchaud, Elliot Paquette
The stochastic Airy and sine operators, which are respectively a random Sturm-Liouville operator and a random Dirac operator, characterize the soft edge and bulk scaling limits of…