37 citations · 68 across the 11 of their papers we have counts for
3 papers · 1 filter
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…
Multiple Scale Asymptotics of Map Enumeration
Nicholas Ercolani, Joceline Lega, Brandon Tippings
We introduce a systematic approach to express generating functions for the enumeration of maps on surfaces of high genus in terms of a single generating function relevant to planar…
On collisions times of self-sorting interacting particles in one-dimension with random initial positions and velocities
Joceline Lega, Sunder Sethuraman, Alexander L Young
We investigate a one-dimensional system of particles, initially distributed with random positions and velocities, interacting through binary collisions. The collision rule is s…