COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Counting limit theorems for representations of Gromov-hyperbolic groups

## Counting limit theorems for representations of Gromov-hyperbolic groupsAdd to your list(s) Download to your calendar using vCal - Çağrı Sert (Universität Zürich)
- Wednesday 29 November 2023, 16:00-17:00
- MR13.
If you have a question about this talk, please contact Oscar Randal-Williams. Let $\Gamma$ be a Gromov-hyperbolic group and $S$ a finite symmetric generating set. The choice of $S$ determines a metric on $\Gamma$ (namely the graph metric on the associated Cayley graph). Given a representation $\rho: \Gamma \to \GL_d(\R)$, we are interested in obtaining probabilistic limit theorems for the deterministic sequence of spherical averages (with respect to $S$-metric) for various numerical quantities (such as Euclidean norm) associated to elements of $\Gamma$ via the representation. We will discuss a general law of large numbers and more refined limit theorems such as central limit theorem and large deviations. The connections with the results of Lubotzky—Mozes—Raghunathan and Kaimanovich—Kapovich—Schupp will also be discussed. Joint work with Stephen Cantrell. This talk is part of the Differential Geometry and Topology Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Differential Geometry and Topology Seminar
- Hanchen DaDaDash
- Interested Talks
- MR13
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsFitzwilliam Museum lunchtime talk Scott Lectures Land Economy Seminars Michaelmas 2020## Other talksLecture by Rachel Dedman – Material Power: Palestinian Embroidery Members' Christmas Evening and Annual General Meeting Restoration at landscape scale to address environmental risk DNA repair: translating mechanistic insights towards new cancer therapies. How do bacteria control their shape during cell elongation? Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman-Kac Approach |