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COMBINEPIC

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Elliptic Combinatorics Solving famous models from combinatorics probability an...
Elliptic Combinatorics Solving famous models from combinatorics probability and statistical mechanics via a transversal approach of special functions I am willing to solve several well-known models from combinatorics, probability theory and statistical mechanics: the Ising model on isoradial graphs, dimer models, spanning forests, random walks in cones, occupation time problems... I am willing to solve several well-known models from combinatorics, probability theory and statistical mechanics: the Ising model on isoradial graphs, dimer models, spanning forests, random walks in cones, occupation time problems. Although completely unrelated a priori, these models have the common feature of being presumed exactly solvable models, for which surprising and spectacular formulas should exist for quantities of interest. This is captured by the title Elliptic Combinatorics, the wording elliptic referring to the use of special functions, in a broad sense: algebraic/differentially finite (or holonomic)/diagonals/(hyper)elliptic/ hypergeometric/etc. Besides the exciting nature of the models which we aim at solving, one main strength of our project lies in the variety of modern methods and fields that we cover: combinatorics, probability, algebra (representation theory), computer algebra, algebraic geometry, with a spectrum going from applied to pure mathematics. We propose in addition two major applications, in finance (Markovian order books) and in population biology (evolution of multitype populations). We plan to work in close collaborations with researchers from these fields, to eventually apply our results (study of extinction probabilities for self-incompatible flower populations, for instance). ver más
31/01/2024
CNRS
1M€
Duración del proyecto: 75 meses Fecha Inicio: 2017-10-19
Fecha Fin: 2024-01-31

Línea de financiación: concedida

El organismo H2020 notifico la concesión del proyecto el día 2024-01-31
Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:
ERC-2017-STG: ERC Starting Grant
Cerrada hace 8 años
Presupuesto El presupuesto total del proyecto asciende a 1M€
Líder del proyecto
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE... No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico TRL 4-5