32 citations · 140 across the 26 of their papers we have counts for
3 papers · 1 filter
Total positivity and spectral theory for Toeplitz Hessenberg matrix ensembles
Nicholas Ercolani, John Peca-Medlin, Jonathan Ramalheira-Tsu
In this paper we define and lay the groundwork for studying a novel matrix ensemble: totally positive Hessenberg Toeplitz operators, denoted TPHT. This is the intersection of two e…
Map enumeration from a dynamical perspective
Nicholas Ercolani, Joceline Lega, Brandon Tippings
This contribution summarizes recent work of the authors that combines methods from dynamical systems theory (discrete Painlevé equations) and asymptotic analysis of orthogonal poly…
The Poisson Geometry of Plancherel Formulas for Triangular Groups
Nicholas M. Ercolani
In this paper we establish the existence of canonical coordinates for generic co-adjoint orbits on triangular groups. These orbits correspond to a set of full Plancherel measure on…