> BUC-IX: 11.12.17 - 15.07.17

Overview

This meeting has been delayed until December 2017 due to last minute issues.

New date: 11th-15th December 2017

The purpose of this meeting is allow for an update in progress between the Mexican and Prob-L@B communities in the field of branching processes and related topics with participation from other international partners. The programme consists of recent results and time for collaborative work as new project fomrulation.

Organizers

Andreas Kyprianou (University of Bath, UK)
Juan Carlos Pardo (CIMAT, México)

Courses

Course

Title

A: Gabriel Berzunza

The pruning process on trees

Aldous and Pitman introduced a tree-valued Markov chain by pruning off more and more sub-trees along the edges of a Galton-Watson tree.  More generally, Abraham and Delmas defined a non-uniform pruning process on the branch points of a Galton-Watson tree. In the same spirit, some authors have considered the continuum tree analogues (i.e. Lévy trees) of pruning dynamics. The aim of this mini course is to present a topology which allows to link the discrete and continuum tree-valued dynamics. Roughly speaking,  we construct the pruning process on the space of so-called bi-measure trees, which are metric measure spaces with an additional pruning measure.

 

B: Sandra Palau

Brownian web and net

The Brownian web is a collection of one-dimensional coalescing Brownian motions starting
from everywhere in space and time, and the Brownian net is a generalization that also allows
branching. They appear in the scaling limits of many one-dimensional interacting particle systems with branching and coalescence. In this course we will study how to construct these processes and some of their properties.

C: Alex Watson  and Quan Shi

 

D: Minmin Wang

Scaling limits of inhomogeneous trees and graphs

The aim of this mini course is to discuss some recent developments on the scaling limits of critical inhomogeneous graphs. We will see that the critical random graphs we consider are closely related to a family of Galton—Watson trees. Thus, our approach to the problem consists in analysing these Galton—Watson trees and their scaling limits, i.e. Lévy trees introduced by Le Gall & Le Jan.

 

E: Adrian Gonzalez

The discrete ancestral selection graph

In this mini curse we will talk about a random graph approach to population genetics which allow us to understand the relation between forward in time frequency processes (diffusions with jumps) and backwards in time ancestral processes (branching processes with interactions).

Timetable

Monday

 

08:30-09:30

Breakfast

09:30-10:30

Mini course A

10:30-10:45

Coffee

10:45-11:45

Mini course B

11:45-12:00

Coffee

12:00-12:30

Arno Siri-Jégousse

12:30-13:00

Juan Carlos Pardo

13:00-15:00

Lunch

15:00-17:00

Work sessions

17:00-18:00

Mini course A

18:00-20:00

Taquiza and fermented horse milk

 

Tuesday

 

08:30-09:30

Breakfast

09:30-10:30

Mini course B

10:30-10:45

Coffee

10:45-11:45

Mini course A

11:45-12:00

Coffee

12:00-12:30

Cecile Maillar

12:30-13:00

Airam Blanacs

13:00-15:00

Lunch

15:00-17:00

Work sessions

17:00-18:00

Mini course C

 

Wednesday

 

08:30-09:30

Breakfast

09:30-10:30

Mini course B

10:30-10:45

Coffee

10:45-11:45

Mini course C

11:45-12:00

Coffee

12:00-13:00

Mini course D

13:00-15:00

Lunch

15:00-16:00

Mini course C

 

Thursday

 

08:30-09:30

Breakfast

09:30-10:30

Mini course C

10:30-10:45

Coffee

10:45-11:45

Mini course D

11:45-12:00

Coffee

12:00-12:30

Talk

12:30-13:00

Talk

13:00-15:00

Lunch

15:00-17:00

Work sessions

17:00-18:00

Mini course E

 

Friday

 

08:30-09:30

Breakfast

09:30-10:30

Mini course E

10:30-10:45

Coffee

10:45-11:45

Mini course D

11:45-12:00

Coffee

12:00-12:30

Talk

12:30-13:00

Talk

13:00-15:00

Lunch

15:00-17:00

Work sessions

17:00-18:00

Mini course E

 

Participants

Bath CIMAT UNAM Other
Andreas Kyprianou
Sandra Palau
Emma Horton
Dorottya Fekete
Minmin Wang
Tsogzolmaa Saizmaa
Weerapat Satitkanitkul
Isaac Gonzalez
Cecile Mailler
Juan Carlos Pardo
Victor Rivero
Rodrigo Gachuz
Jose Luis Perez 
Antonio Murillo
Jose-Alfredo Mimbela
Ekaterina Torova
Maria Fernanda Serna Mendoza
Eduardo Alvarez Rodríguez
Jose Alberto Tepox Mendez
Camilo González González
Natalia Cardona Tobón
Santiago Arenas Velilla
 
 
 
Arno Siri-Jégousse
Gerónimo Uribe Bravo
Adrian Gonzalez
Liz Peñaloza Velasco
Alejandro Hernández Wences
Alex Watson
Quan Shi
Gabriel Berzunza
Airam Blancas