5 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…
Coarse embeddability, -compression and Percolations on General Graphs
Chiranjib Mukherjee, Konstantin Recke
We show that a locally finite, connected graph has a coarse embedding into a Hilbert space if and only if there exist bond percolations with arbitrarily large marginals and two-poi…
Randomized Geodesic Flow on Hyperbolic Groups
Luzie Kupffer, Mahan Mj, Chiranjib Mukherjee
Motivated by Gromov's geodesic flow problem on hyperbolic groups , we develop in this paper an analog using random walks. This leads to a notion of a harmonic analog of the…
Self-repellent Brownian Bridges in an Interacting Bose Gas
Erwin Bolthausen, Wolfgang Koenig, Chiranjib Mukherjee
We consider a model of -dimensional interacting quantum Bose gas, expressed in terms of an ensemble of interacting Brownian bridges in a large box and undergoing the influence o…
Additive-multiplicative stochastic heat equations, stationary solutions, and Cauchy statistics
Alexander Dunlap, Chiranjib Mukherjee
We study long-term behavior and stationary distributions for stochastic heat equations forced simultaneously by a multiplicative noise and an independent additive noise with the sa…