S. Sanadhya

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20242026

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math.DS2026

Trace spectra of simplices in large sets

Michael BjÃ¶rklund, Alexander Fish, Shrey Sanadhya

Given an ordered tuple $v = (v_{0}, \dots, v_{d})$ of vectors in $R^{d}$ , let $A_{v} = [v_{1} - v_{0} \dots v_{d} - v_{0}]$ be its edge matrix. We prove that, in every fin…

math.DS2026

Subdiagrams and invariant measures for generalized Bratteli diagrams

Sergey Bezuglyi, Palle Jorgensen, Olena Karpel +2

The results of this paper contribute to the study of invariant measures of Borel dynamical systems that can be modeled using generalized Bratteli diagrams. In this context, we stud…

math.DS2025

Counterexamples to double recurrence for non-commuting deterministic transformations

Zemer Kosloff, Shrey Sanadhya

We show that if $p_{1}, p_{2}$ are injective, integer polynomials that vanish at the origin, such that either both are of degree $1$ or both are of degree $2$ or higher, then double rec…

math.DS2024

Periodicity of joint co-tiles in $Z^{d}$

Tom Meyerovitch, Shrey Sanadhya, Yaar Solomon

An old theorem of Newman asserts that any tiling of $Z$ by a finite set is periodic. A few years ago, Bhattacharya proved the periodic tiling conjecture in $Z^{2}$ .…

Trace spectra of simplices in large sets

Subdiagrams and invariant measures for generalized Bratteli diagrams

Counterexamples to double recurrence for non-commuting deterministic transformations

Periodicity of joint co-tiles in Zd

Periodicity of joint co-tiles in $Z^{d}$