Cartes planaires et partitions aléatoires

Autor: Bouttier, Jérémie

Publikováno v: Mathematical Physics [math-ph]. Université Paris XI, 2019

This habilitation thesis summarizes the research that I have carried out from 2005 to 2019. It is organized in four chapters. The first three deal with random planar maps. Chapter 1 is about their metric properties: from a general map-mobile bijectio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=arXiv_dedup_::b2f3371a44372daa675ea3635ee05a2e
https://theses.hal.science/tel-02417269/file/HDR_1214.pdf

Perfect sampling algorithm for Schur processes

Autor: Betea, Dan, Boutillier, Cédric, Bouttier, Jérémie, Chapuy, Guillaume, Corteel, Sylvie, Vuletić, Mirjana

Publikováno v: Markov Processes And Related Fields
Markov Processes And Related Fields, Polymat Publishing Company, 2018, 24 (3), pp.381-418
Markov Processes And Related Fields, 2018, 24 (3), pp.381-418

We describe random generation algorithms for a large class of random combinatorial objects called Schur processes, which are sequences of random (integer) partitions subject to certain interlacing conditions. This class contains several fundamental c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a6e97de50b409da0d96fbc174846acc
https://hal.archives-ouvertes.fr/hal-01023784/document

Interacting particle models and the Pieri-type formulas : the symplectic case with non equal weights

Autor: Manon Defosseux

Publikováno v: Electronic Communications in Probability
Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2012
Electron. Commun. Probab.

This paper studies a particle model connected to a Pieri-type formula for the symplectic compact group. Particles evolve independently apart from a blocking and pushing interaction such that they remain in the set of symplectic Gelfand-Tsetlin patter

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f46e75942353add89e9d008ad9081593

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Schur dynamics of the Schur processes

Autor: Alexei Borodin

Publikováno v: Arxiv

We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures. One application is a simple exact sampling algorithm for q^{volume}-distributed skew plane partitions with an arbitrary back wall. Anoth

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::838434ebeba94192f20a7747d3f4fe80