Showing math.GRShow all
3 papers · 1 filter
math.GR2026
Cohomology and multiplicative gaps for quasi-isometries of nilpotent groups
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
We construct two word metrics on the same seven-dimensional torsion-free nilpotent lattice whose asymptotic cones are isometric, but for which every quasi-isometry has multiplicati…
math.GR2025
Linear-growth harmonic functions for nonsymmetric random walks on groups of polynomial growth
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
Let be a finitely generated group of polynomial growth and let be an adapted, Abelian-centered probability measure with a finite exponential moment (not necessarily symmetr…
math.GR2024
Green geometry, Martin boundary and random walk asymptotics on groups
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
We identify a single computationally checkable analytic quantity interlacing Martin boundary collapse, Green geometry, and linear escape for transient random walks on finitely gene…