Michael Lin

activity

20232026

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3 papers · 1 filter

math.DS2026

Operator ergodic theorems with Möbius "weights"

El Houcein El Abdalaoui, Michael Lin

Motivated by Sarnak's conjecture in topological dynamics for the Möbius function $μ$ , we study, for a power-bounded $T$ on a Banach space $E$ , the weak convergence $$ (*) \qquad \q…

math.SP2026

Spectra of averages of unitary representations of LCA groups

Guy Cohen, Michael Lin

Let $G$ be a locally compact Abelian (LCA) group with dual group $Γ$ , and let $μ$ be a probability measure on (the Borel sets of) $G$ . Given a unitary representation $\{U(t): t \in…

math.PR2026

Doeblin's condition, $ρ$ -mixing and spectra of convolution operators on the circle

Guy Cohen, Michael Lin

We study the asymptotic behavior of Markov operators $P_{μ}$ defined by convolution with a probability measure $μ$ on the unit circle $T$ . We prove that when $μ$ is adapted,…

Operator ergodic theorems with Möbius "weights"

Spectra of averages of unitary representations of LCA groups

Doeblin's condition, ρ-mixing and spectra of convolution operators on the circle

Doeblin's condition, $ρ$ -mixing and spectra of convolution operators on the circle