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math.DS2025
Counterexamples to double recurrence for non-commuting deterministic transformations
Zemer Kosloff, Shrey Sanadhya
We show that if are injective, integer polynomials that vanish at the origin, such that either both are of degree or both are of degree or higher, then double rec…
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 -…