15 citations · 32 across the 6 of their papers we have counts for
6 papers
The lifted functional approach to mean field games with common noise
Mark Cerenzia, Aaron Zeff Palmer
We introduce a new path-by-path approach to mean field games with common noise that recovers duality at the pathwise level. We verify this perspective by explicitly solving some di…
The Dyson and Coulomb games
René Carmona, Mark Cerenzia, Aaron Zeff Palmer
We introduce and investigate certain player dynamic games on the line and in the plane that admit Coulomb gas dynamics as a Nash equilibrium. Most significantly, we find that t…
Hard-edge asymptotics of the Jacobi growth process
Mark Cerenzia, Jeffrey Kuan
We introduce a two parameter () family of interacting particle systems with determinantal correlation kernels expressible in terms of Jacobi polynomials $\{ P^{(α, β)}_k \…
A path property of Dyson gaps, Plancherel measures for , and random surface growth
Mark Cerenzia
We pursue applications for symplectic Plancherel growth based on a repulsion phenomenon arising in its diffusion limit and on intermediate representation theory underlying its corr…
Harnack Estimate for the Endangered Species Equation
Xiaodong Cao, Mark Cerenzia, Demetre Kazaras
We prove a differential Harnack inequality for the Endangered Species Equation, a nonlinear parabolic equation. Our derivation relies on an idea related to the parabolic maximum pr…
Discrete/Continuous Elliptic Harnack Inequality and Kernel Estimates for Functions of the Laplacian on a Graph
Mark Cerenzia, Laurent Saloff-Coste
This paper introduces certain elliptic Harnack inequalities for harmonic functions in the setting of the product space , where is a (weighted) Riemannian Manifold a…