Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

UniversalMap

Financiado

Universality of random planar maps and trees

The PI proposes to study a variety of open problems involving random planar maps and trees. This is a booming field at the intersection of probability, geometry, statistical physics, combinatorics and complex analysis. It has grow... ver más

31/12/2026

TAU

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

TEL AVIV UNIVERSITY No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2020-12-18

ERC-2020-COG: ERC CONSOLIDATOR GRANTS

I+D

Cerrada hace 4 años

0% 100% 100%

Información adicional privada

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

2 Participantes

TAU

1.83M€ | Lider

LOXIN 2002

679.14K€ | Participante

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

SuPerGRandMa Hyperbolic surfaces and large random maps 2M€ Cerrado

PID2021-123151NB-I00 PROPIEDADES ESTOCASTICAS EN TEORIA GEOMETRICA DE FUNCIONES 67K€ Cerrado

LiKo From Liouville to Kolmogorov 2d quantum gravity noise sens... 935K€ Cerrado

MTM2017-85666-P ASPECTOS PROBABILISTICOS Y GEOMETRICOS DE LA TEORIA DE FUNCI... 52K€ Cerrado

RandMat Spectral Statistics of Structured Random Matrices 1M€ Cerrado

PID2020-113350GB-I00 ANALISIS ARMONICO, COMBINATORIA Y ARITMETICA 33K€ Cerrado

Duración del proyecto: 72 meses Fecha Inicio: 2020-12-18
Fecha Fin: 2026-12-31

Líder del proyecto

TEL AVIV UNIVERSITY No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 2M€

Descripción del proyecto The PI proposes to study a variety of open problems involving random planar maps and trees. This is a booming field at the intersection of probability, geometry, statistical physics, combinatorics and complex analysis. It has grown tremendously in the last two decades, in depth and breadth, and has seen breakthroughs on long-standing classical problems. The PI's first goal is to study the universality of embedded random planar maps and prove their convergence to what is known as Liouville quantum gravity, a class of random surfaces predicted by physicists to be the universal limit to such discrete random surfaces. Various map embedding mechanisms will be studied such as harmonic embedding, square-tiling, circle packing and others. The second goal is to solve problems concerning stochastic processes (such as random walks, percolation and the Ising model) on embedded random planar maps. This will shed light on the behavior of the same stochastic processes on regular lattices (such as the square or triangular grids) due to the non-rigorous Knizhnik-Polyakov-Zamolodchikov correspondence, a conjectural formula from the physics literature relating the behavior of critical statistical physics models on random lattices to their behavior on regular lattices. We will gain progress on these inspiring yet non-rigorous predictions by developing various probabilistic, geometric and complex analytic tools aimed to show that instabilities in the embeddings cancel out due to the randomness of the planar maps. This project has the potential to lead to the solution of the most central problems in two-dimensional statistical physics, such as estimating the typical displacement of the self-avoiding walk, proving conformal invariance for critical percolation on the square lattice and many others.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores