4 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…
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…
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…
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…