27 citations · 110 across the 23 of their papers we have counts for
4 papers · 1 filter
Positive and negative moments for directed polymers in random environment in weak disorder
Rodrigo Bazaes, Chiranjib Mukherjee
Very recently, Junk [11] showed that for directed polymers in bounded random environments, the weak disorder (uniform integrable) phase implies that the polymer martingale is bound…
Schur Multipliers of -algebras, group-invariant compactification and applications to amenability and percolation
Chiranjib Mukherjee, Konstantin Recke
Let be a countable discrete group. Given any sequence of -normalized functions (), consider the associated positive definite matrix coeffi…
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.…
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…