Hola,
¿eres nuevo aquí?

Regístrate gratis y conecta tu empresa con financiación pública, partners y proyectos.

Tengo cuenta

Regístrate

Ver video

IProbability

Financiado

Cerrado

Integrable Probability

This project is devoted to integrable probability. The key feature of the field is the prominent role of methods and ideas from other parts of mathematics (such as representation theory, combinatorics, integrable systems, and othe... ver más

31/05/2027

ULEI

1M€

Presupuesto del proyecto: 1M€

Líder del proyecto

UNIVERSITAET LEIPZIG No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2022-02-01

ERC-2021-STG: ERC STARTING GRANTS Scope:Objectives

I+D

Cerrada hace 3 años

0% 100% 100%

Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

1 Participantes

ULEI

1.08M€ | Lider

Conecta tu I+D

¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video

Proyectos interesantes

COMBINEPIC Elliptic Combinatorics Solving famous models from combinato... 1M€ Cerrado

URSAT Understanding Random Systems via Algebraic Topology 2M€ Cerrado

LIC Loop models integrability and combinatorics 840K€ Cerrado

UniversalMap Universality of random planar maps and trees 2M€ Cerrado

SCHREC Stochastic recursions and limit theorems 84K€ Cerrado

MTM2011-23050 ARBOLES Y METODOS ALGEBRAS DE HOPF EN INTEGRATION NUMERICA Y... 11K€ Cerrado

Duración del proyecto: 63 meses Fecha Inicio: 2022-02-01
Fecha Fin: 2027-05-31

Líder del proyecto

UNIVERSITAET LEIPZIG No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 1M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto This project is devoted to integrable probability. The key feature of the field is the prominent role of methods and ideas from other parts of mathematics (such as representation theory, combinatorics, integrable systems, and others) which are applied to stochastic models. This philosophy often leads to very precise limit theorems which seem to be inaccessible by more standard probabilistic techniques. The proposed research is a study of a variety of probabilistic models. Specific examples include the single- and multi-species asymmetric simple exclusion process, a six vertex model, random walks on Hecke, Temperley-Lieb, and Brauer algebras, random tilings models, and random representations. The suggested methodology consists of a range of probabilistic, algebraic, analytic, and combinatorial techniques. The project involves two circles of questions. The first one focuses on random walks on algebras and their applications to interacting particle systems. The specific objectives include studying the Kardar-Parisi-Zhang type fluctuations for the multi-species asymmetric simple exclusion process, computing limit shapes and fluctuations around them for a general six vertex model, introducing and studying integrable three-dimensional analogues of a six vertex model, and developing a general theory of random walks on algebras. The second one focuses on asymptotic representation theory. This area deals with the probabilistic description of representations of big groups. Such questions turn out to be related to a plethora of other probabilistic models, in particular, to models of statistical mechanics. The goals of this part include bringing this interplay to a new level, developing asymptotic representation theory of quantum groups, and studying random tilings in random environment. The unifying idea behind these questions is a systematic use of precise relations for the study of asymptotic behavior of stochastic models which are out of reach of any other techniques.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores