Michael Lin

works on

averaging operators 1 locally compact abelian groups 1 spectral mapping theorem 1 spectral theory 1 unitary representations 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.DS2026

Operator ergodic theorems with MÃ¶bius "weights"

El Houcein El Abdalaoui, Michael Lin

Motivated by Sarnak's conjecture in topological dynamics for the MÃ¶bius function $I^¼$ , we study, for a power-bounded $T$ on a Banach space $E$ , the weak convergence $$ (*) \qquad…

math.SP2026

Spectra of averages of unitary representations of LCA groups

Guy Cohen, Michael Lin

The paper studies the spectrum of operators obtained by averaging unitary representations of locally compact Abelian groups with respect to a probability measure, establishing incl…

math.PR2026

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

Guy Cohen, Michael Lin

We study the asymptotic behavior of Markov operators $P_{I^} ¼$ defined by convolution with a probability measure $I^¼$ on the unit circle $T$ . We prove that when $I^¼$ is adapte…

math.DG2025

The Positive Mass Theorem for Creased Initial Data

Demetre Kazaras, Marcus Khuri, Michael Lin

We establish a spacetime positive mass theorem and rigidity statement for asymptotically flat spin initial data sets with a codimension one singularity controlled by a matching Bar…

Operator ergodic theorems with MÃ¶bius "weights"

Spectra of averages of unitary representations of LCA groups

Doeblin's condition, I¨-mixing and spectra of convolution operators on the circle

The Positive Mass Theorem for Creased Initial Data

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