## Seminários de probabilidade – Primeiro 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)**

The first significant results for general s were obtained only recently, by Conlon, Fox, He, Mubayi, Suk and Verstraëte, who showed that Rr,s(k) = 2^{Θ(kr)} if s/r is bounded away from 0 and 1. In the range s = r − o(r), however, their upper and lower bounds diverge significantly. In this talk we introduce a new (random) colouring, and use it to determine Rr,s(k) up to polylogarithmic factors in the exponent for essentially all r, s and k.

This is a joint work with Lucas Aragão, Maurício Collares, João Pedro Marciano and Rob Morris.

Access the slides here.

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

Access the slides here.

In this talk, we analyse the genealogy of a sample of k particles without replacement from a population alive at large time in a critical Galton Watson process in varying environment. Our approach uses k distinguished spine particles and a suitable change of measure similar to a k-size biasing with a discounting rate proportional to the total population size. Under this measure, we provide the law of the splitting times of the spines and the offspring distribution of particles on and off the spines.

Access the slides here.

Access the slides here.

Access the slides here.

Access the slides here.