Nicolas Tokka

collaborators

3 papers

math.PR2026

Local Limit of Random Regular Bipartite Planar Maps

Nicolas Tokka

We prove the existence of the local limit of uniform random d-regular bipartite planar maps, for every $d \geq 3$ , as the number of vertices tends to infinity. The proof relies on a…

math.PR2025

Ising model with external magnetic field on random planar maps: Critical exponents

Nicolas Tokka

We study the Ising model with an external magnetic field on random tetravalent planar maps and investigate its critical behavior. Explicit expressions for spontaneous magnetization…

math.CO2025

Blossoming bijection for bipartite maps: a new approach via orientations and applications to the Ising model

We develop a new bijective framework for the enumeration of bipartite planar maps with control on the degree distribution of black and white vertices. Our approach builds on the bl…