11 citations · 20 across the 10 of their papers we have counts for
11 papers
Ergodicity of algebraic actions of nilpotent groups
Siddhartha Bhattacharya
An algebraic -action is an action of a countable group on a compact abelian group by continuous automorphisms of . We prove that any expansive algebraic action of a f…
Balanced words in higher dimensions
Siddhartha Bhattacharya
For , a word is called balanced if there exists such that for any two rectangles that are translates of each other, the…
Periodic points of algebraic actions of discrete groups
Siddhartha Bhattacharya
Let be a countable group. A -action on a compact abelian group by continuous automorphisms of is called Noetherian if the dual of is Noetherian as a ${\mathbb Z}…
Surjunctivity and topological rigidity of algebraic dynamical systems
Siddhartha Bhattacharya, Tullio Ceccherini-Silberstein, Michel Coornaert
Let be a compact metrizable group and a countable group acting on by continuous group automorphisms. We give sufficient conditions under which the dynamical system $(X,…
Periodicity and decidability of tilings of
Siddhartha Bhattacharya
We prove that any finite set that tiles by translations also admits a periodic tiling. As a consequence, the problem whether a given fini…
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…