Chiranjib Mukherjee

collaborators

4 papers

math.AP2026

Hamilton-Jacobi-Bellman Equations in Random Geometries: Homogenization on Continuum Percolation Clusters

Rodrigo Bazaes, Alexander Mielke, Chiranjib Mukherjee

We develop a quenched homogenization theory for optimal control problems related to Hamilton--Jacobi--Bellman equations on random geometries arising from continuum percolation. The…

math.GR2026

Haagerup property and group-invariant percolation

Chiranjib Mukherjee, Konstantin Recke

Let $G$ be the Cayley graph of a finitely generated, infinite group $I^$ . We show that $I^$ has the Haagerup property if and only if for every $I^\pm < 1$ , there is a $I^$ -inva…

math-ph2025

Effective Mass of the FrÃ¶hlich Polaron and the Landau-Pekar-Spohn Conjecture

Rodrigo Bazaes, Chiranjib Mukherjee, Mark Sellke +1

We prove that there is a constant $C \in (0, \infty)$ such that the effective mass $m (I^\pm)$ of the FrÃ¶hlich Polaron satisfies $m (I^\pm) \geq C I^\pm^{4}$ , which is sharp…

math.PR2025

Subcritical Gaussian Multiplicative Chaos in the Wiener Space: Construction, Moments and Volume Decay

Rodrigo Bazaes, Isabel Lammers, Chiranjib Mukherjee

We construct and study properties of an infinite dimensional analog of Kahane's theory of Gaussian multiplicative chaos \cite{K85}. Namely, if $H_{T} (I ¨ )$ is a random field defined w…