4 papers
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…
Degenerate Diffusions on Continuum Percolation and Hamilton-Jacobi-Bellman Equations
Rodrigo Bazaes, Alexander Mielke, Chiranjib Mukherjee
We study degenerate controlled diffusions and Hamilton--Jacobi--Bellman equations posed on genuine continuum percolation clusters. The diffusion is constrained to evolve inside the…
Effective Mass of the Fröhlich Polaron and the Landau-Pekar-Spohn Conjecture
Rodrigo Bazaes, Chiranjib Mukherjee, Mark Sellke +1
We prove that there is a constant such that the effective mass of the Fröhlich Polaron satisfies , which is sharp…
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 is a random field defined w…