## This Week

#### Adian Young (*BGU*)

Random temporo-spatial differentiations

Random temporo-spatial differentiations

Temporo-spatial differentiations are ergodic averages on a probabilistic dynamical system $(X, \mu, T)$ taking the form $\left( \frac{1}{\mu(C_k)} \int_{C_k} \frac{1}{k} \sum_{j = 0}^{k - 1} T^j f \mathrm{d} \mu \right)_{k = 1}^\infty $ where $C_k \subseteq X$ are measurable sets of positive measure, and $f \in L^\infty(X, \mu)$. These averages combine both the dynamics of the transformation and the structure of the underlying probability space $(X, \mu)$. We will discuss the motivations behind studying these averages, results concerning the limiting behavior of these averages and, time permitting, discuss generalizations to non-autonomous dynamical systems. Joint work with Idris Assani.

## 2023–24–B meetings

### Upcoming Meetings

Date |
Title |
Speaker |
Abstract |
---|---|---|---|

May 23 | Random temporo-spatial differentiations | Adian Young (BGU) | |

May 30 | TBA | Lior Tenenbaum (Technion) | |

Jun 13 | TBA | Gill Goffer (UCSD) | |

Jun 27 | TBA | Ilya Gekhtman (Technion) |

### Past Meetings

Date |
Title |
Speaker |
Abstract |
---|---|---|---|

May 9 | Higher Kazhdan Property and Unitary Cohomology of Arithmetic Groups | Uri Bader (BGU) | |

May 16 | Equidistribution of Discrepancy Sequences (Joint with Dolgopyat) | Omri Sarig (Weizmann Institute of Science) |

Seminar run by Dr. Shrey Sanadhya and Dr. Ido Grayevsky