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Central and invariant measures and applications
(August 17–21, 2020, Euler International Mathematical Institute, St. Petersburg)

The conference is devoted to the study of invariant measures on the path spaces of graded graphs in a broad sense, this includes: the description of the boundaries for different classes of graphs, in particular for random walks and Markov processes; study of matrix ensembles, traces and characters of locally finite groups, invariant measures for transformation groups; combinatorics of paths; continuous graded graphs and large groups; generalizations of RSK-correspondence; filtration theory, as well as other topics.

Intended financial sources: Euler Institute conferences fund

Website: https://www.pdmi.ras.ru/EIMI/2020/CIMA/index.html

Program Committee
Vershik Anatolii Moiseevich (Chairman)
Olshanski Grigorii Iosifovich
Petrov Fedor Vladimirovich
Tsilevich Natalia Vladimirovna

Organizing Committee
Petrov Fedor Vladimirovich (Chairman)
Malyutin Andrei Valer'evich
Nikitin Pavel Pavlovich
Zalesskaya Nadezhda Vitoldovna
Zatitskii Pavel Borisovich

Institutions
Euler International Mathematical Institute
Saint Petersburg State University


Central and invariant measures and applications, St. Petersburg, August 17–21, 2020

August 17, 2020 (Mon)
1. The invariant measures in the search of representation theory
A. M. Vershik
August 17, 2020 16:10–16:50, St. Petersburg, online 		A. M. Vershik
  
2. Asymptotic theory of characters and algebraic combinatorics
G. I. Olshanskii
August 17, 2020 17:00–17:40, St. Petersburg, online 		G. I. Olshanskii
  
3. Free cumulants, Boolean cumulants, characters of symmetric groups and the Bruhat order
Ph. Biane
August 17, 2020 18:10–18:50, St. Petersburg, online 		Ph. Biane
  
4. Branching graph of infinite beta random matrices
V. Gorin
August 17, 2020 19:00–19:40, St. Petersburg, online 		V. Gorin
  

August 18, 2020 (Tue)
5. A convolution of central measures and infinite divisibility
Aleksei I. Bufetov
August 18, 2020 15:10–15:50, St. Petersburg, online 		Aleksei I. Bufetov
  
6. Poisson limit of bumping routes in the Robinson–Schensted correspondence
P. Sniady
August 18, 2020 16:00–16:40, St. Petersburg, online 		P. Sniady
  
7. Actions of automorphism groups of Fraïssé limits on the space of linear orderings
C. Jahel
August 18, 2020 16:50–17:20, St. Petersburg, online 		C. Jahel
  
8. Polyhomomorphism of locally compact groups
Yu. A. Neretin
August 18, 2020 18:00–18:40, St. Petersburg, online 		Yu. A. Neretin
  
9. Cotransition probabilities in TASEP
L. A. Petrov
August 18, 2020 18:50–19:30, St. Petersburg, online 		L. A. Petrov
  

August 19, 2020 (Wed)
10. The sine-process has excess one
A. I. Bufetov
August 19, 2020 15:10–15:50, St. Petersburg, online 		A. I. Bufetov
  
11. Graphs of Gelfand–Tsetlin type
F. V. Petrov
August 19, 2020 16:00–16:40, St. Petersburg, online
  
12. Random trees and central measures
P. P. Nikitin
August 19, 2020 16:50–17:20, St. Petersburg, online
  
13. Semifinite harmonic functions on the Gnedin–Kingman graph
N. A. Safonkin
August 19, 2020 17:30–18:00, St. Petersburg, online
  
14. Invariant measures of infinite-dimensional groups over finite fields
C. Cuenca
August 19, 2020 18:30–19:00, St. Petersburg, online
  
15. Self-similar measures and their images under automatic maps
R. I. Grigorchuk
August 19, 2020 19:10–19:50, St. Petersburg, online
  
 
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