BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Keivan Mallahi-Karai (Constructor University) DTSTART:20241119T171500Z DTEND:20241119T183000Z DTSTAMP:20260423T021858Z UID:NEDNT/79 DESCRIPTION:Title: S pectral independence of compact groups\nby Keivan Mallahi-Karai (Const ructor University) as part of New England Dynamics and Number Theory Semin ar\n\nLecture held in Online.\n\nAbstract\nLet $G_1$ and $G_2$ be compact simple (real or $p$-adic) Lie groups\, and let $\\mu_1$ and $\\mu_2$ be s ymmetric probability measures on $G_1$ and $G_2$. Under mild conditions on $\\mu_1$ and $\\mu_2$\, the distribution of $\\mu_i$ random walks on $G_i $ converges to the uniform measure\, and the speed of convergence is gove rned by the spectral gap. A coupling of $\\mu_1$ and $\\mu_2$ is any proba bility measure $\\mu$ on $G_1 \\times G_2$ whose marginal distributions are $\\mu_1$ and $\\mu_2$\, respectively . A natural question is under wh at conditions a spectral gap for all couplings depending on spectral gaps of $\\mu_1$ and $\\mu_2$ can be established. \nIn this talk\, I will prese nt results in this direction which are based on joint work with Alireza S. Golsefidy and Amir Mohammadi.\n LOCATION:https://researchseminars.org/talk/NEDNT/79/ END:VEVENT END:VCALENDAR