11 citations · 12 across the 2 of their papers we have counts for
6 papers · 1 filter
Isomorphism rigidity of commuting automorphisms
Siddhartha Bhattacharya
Let , and let and be two zero-entropy -actions on compact abelian groups by commuting automorphisms. We show that if all lower rank subac…
Finite entropy characterizes topological rigidity
S. Bhattacharya, T. Ward
Let X_1 and X_2 be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map X_1 to X_2 is affine (that is, X_…
Isomorphism rigidity of algebraic -actions
Siddhartha Bhattacharya
An algebraic -action is an action of on a compact abelian group by automorphisms of . We prove that for , there exist mixing zero entropy algebraic $…
Expansiveness of algebraic actions on connected groups
Siddhartha Bhattacharya
We consider endomorphism actions of arbitrary discrete semigroups on a connected metrizable topological group G. We give necessary and sufficient conditions for expansiveness of su…
Topological rigidity of automorphism actions on nilmanifolds
Siddhartha Bhattacharya
Suppose are nilmanifolds and are automorphism actions of a discrete group on and respectively. We show that if and $(X_{2}, σ)…
Orbit equivalence and topological conjugacy of affine actions on compact abelian groups
Siddhartha Bhattacharya
In this paper we study topological rigidity of affine actions on compact connected metrizable abelian groups. We also classify one-parameter flows of translations upto orbit equiva…