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New interactions of Combinatorics and Probability
AUGUST 24 -- SEPTEMBER 4, 2015
Instituto de Ciências Matemáticas e de Computação (ICMC)
Universidade de São Paulo, Brazil



DOCUMENTS THAT WILL ALLOW YOU TO PREPARE THE SCHOOL



This page will be completed progressively with materials (lecture notes, slides, articles, links) that will allow you to prepare the lectures.

Each section refers to a topic that will be addressed during the school, either specifically in one lecture series, or transversally to several lectures.



ALGEBRA AND COMBINATORICS


La structure combinatoire du calcul intégral (K. Ebrahimi-Fard, F. Patras)

English version: Rota-Baxter Algebra. The Combinatorial Structure of Integral Calculus (K. Ebrahimi-Fard, F. Patras)

A short survey on pre-Lie algebras (D. Manchon)

An introduction to Hopf algebras of trees (L. Foissy)

A primer of Hopf algebras (P. Cartier)


FREE PROBABILITY


Free Probability Slides (R. Speicher)

Free Probability Survey (R. Speicher)

Free probability and random matrices (article, R. Speicher)



NUMERICAL INTEGRATION


On the Hopf Algebraic Structure of Lie Group Integrators (article, H. Z. Munthe-Kaas, W. Wright)

On the Lie enveloping algebra of a post-Lie algebra (article, K. Ebrahimi-Fard, A. Lundervolt, H. Munthe-Kaas)