1 citations · 1 across the 7 of their papers we have counts for
8 papers
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 acco…
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…
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…
The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior
Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramírez +1
For a random walk in a uniformly elliptic and i.i.d. environment on with , we show that the quenched and annealed large deviations rate functions agree on a…
Localization at the boundary for conditioned random walks in random environment in dimensions two and higher
Rodrigo Bazaes
We introduce the notion of \emph{localization at the boundary} for conditioned random walks in i.i.d. and uniformly elliptic random environment on , in dimensions two…
Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder
Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramirez +1
In 2003, Varadhan [V03] developed a robust method for proving quenched and averaged large deviations for random walks in a uniformly elliptic and i.i.d. environment (RWRE) on $\mat…