Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

RANDGEOM

Financiado

Cerrado

Random Geometry

The objective of this proposal is an investigation of the geometric structure of random spaces that arise in critical models of statistical physics. The proposal is motivated by inspiring yet non-rigorous predictions from the phys... ver más

31/12/2021

TAU

1M€

Presupuesto del proyecto: 1M€

Líder del proyecto

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

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2021-12-31

ERC-StG-2015: ERC Starting Grant

I+D

Cerrada hace 10 años

0% 100% 100%

Información adicional privada

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

2 Participantes

TAU

1.29M€ | Lider

QUIDE

219.65K€ | Participante

Proyectos interesantes

UniversalMap

Applied Physics

Data Science

2M€ Cerrado

GeomCritRand

Applied Physics

Data Science

209K€ Cerrado

RandomZeroSets

Applied Physics

Mathematics

2M€ Cerrado

PTRCSP

Applied Physics

Data Science

1M€ Cerrado

COMPASP

Applied Physics

Data Science

2M€ Cerrado

RandomHypGra

Applied Physics

Data Science

2M€ Cerrado

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

Duración del proyecto: 72 meses Fecha Inicio: 2015-12-15
Fecha Fin: 2021-12-31

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 1M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto The objective of this proposal is an investigation of the geometric structure of random spaces that arise in critical models of statistical physics. The proposal is motivated by inspiring yet non-rigorous predictions from the physics community and the models studied are some of the most popular models in contemporary probability theory such as percolation, random planar maps and random walks. One set of problems are on the topic of random planar maps and quantum gravity, a thriving field on the intersection of probability, statistical physics, combinatorics and complex analysis. Our goal is to develop a rigorous theory of these maps viewed as surfaces (rather than metric spaces) via their circle packing. The circle packing structure was recently used by the PI and Gurel-Gurevich to show that these maps are a.s. recurrent, resolving a major conjecture in this area. Among other consequences, this research will hopefully lead to progress on the most important open problem in this field: a rigorous proof of the mysterious KPZ correspondence, a conjectural formula from the physics literature allowing to compute dimensions of certain random sets in the usual square lattice from the corresponding dimension in the random geometry. Such a program will hopefully lead to the solution of the most central problems in two-dimensional statistical physics, such as finding the typical displacement of the self-avoiding walk, proving conformal invariance for percolation on the square lattice and many others. Another set of problems is investigating aspects of universality in critical percolation in various high-dimensional graphs. These graphs include lattices in dimension above 6, Cayley graphs of finitely generated non-amenable groups and also finite graphs such as the complete graph, the Hamming hypercube and expanders. It is believed that critical percolation on these graphs is universal in the sense that the resulting percolated clusters exhibit the same mean-field geometry.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores