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math.DS2024
Periodicity of joint co-tiles in
Tom Meyerovitch, Shrey Sanadhya, Yaar Solomon
An old theorem of Newman asserts that any tiling of by a finite set is periodic. A few years ago, Bhattacharya proved the periodic tiling conjecture in .…
math.DS2024
Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages
Zemer Kosloff, Shrey Sanadhya
We show that for every ergodic and aperiodic probability preserving system , there exists , whose corresponding cocycle satisfies the -…
math.DS2024
Substitution-dynamics and invariant measures for infinite alphabet-path space
Sergey Bezuglyi, Palle E. T. Jorgensen, Shrey Sanadhya
We study substitutions on countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary generalized Bratteli-Vershik…