## Seminários de probabilidade – Segundo Semestre de 2023

Quando forem __online__, as palestras ocorrerão via Google Meet **às segundas-feiras às 15h30**, a menos de algumas exceções devidamente indicadas.

Quando forem __presenciais__, as palestras ocorrerão na sala C-116 **às segundas-feiras às 15h30**, a menos de algumas exceções devidamente indicadas.

*Todas as palestras são em inglês.*

**Lista completa (palestras futuras podem sofrer alterações)**

Link of the paper: https://doi.org/10.1214/22-BA1322.

Access the slides here.

Access the slides here.

Access the slides here.

Joint work with Rajat Subhra Hazra (Leiden), Alan Rapoport (Utrecht) and Wioletta Ruszel (Utrecht).

Access the slides here.

Let X be the number of edge removals needed to delete a RRT with n vertices. The random variable X has been thoroughly studied and analogous variables under distinct models of random trees have been analyzed; in particular, X grows asymptotically as n ln(n). In this talk we propose and study a method for cutting down a random recursive tree that focuses on its largest degree vertices. Enumerate the vertices of a random recursive tree of size n according to a decreasing order of their degrees. The targeted, vertex-cutting process is performed by sequentially removing vertices according to that order and keeping only the subtree containing the root after each removal. The algorithm ends when the root is picked to be removed.

Joint work with Laura Eslava and Marco L. Ortiz.

Access the slides here.

#### 02/10 (presencial)

*One dimensional contact process with modified border conditions*

Enrique D. Andjel

In this lecture, we will talk about probabilistic properties of extensions for the stochastic adding machine and their connections with other areas of mathematics such as Complex Dynamics and Linear Dynamics.

This is a joint work with Danilo Caprio and Glauco Valle.

In this talk, we will discuss this problem in a randomized setting with not necessarily expanding fibres. If the fibres and the basis of the random system under consideration are sufficiently mixing, then a similar but more complex result holds: there are two relevant dimensions and, depending on the stochastic process in the basis, either one or the other is dominant. In particular, there is a phase transition, which is unknown in the framework of a classical dynamical system.

Joint work with Jerome Rousseau and Sebastien Gouezel. For the preprint, see https://hal.science/hal-03788538v1

Access the slides here.