#	Pagina
attuale pagina	/open-h2020/projects/217938/index.html

Opendata, web and dolomites

SPRS SIGNED

Stochastic Processes on Random Surfaces

Total Cost €

EC-Contrib. €

Partnership

Views

SPRS project word cloud

Explore the words cloud of the SPRS project. It provides you a very rough idea of what is the project "SPRS" about.

immense 1980s eden decorated surfaces 1960s dielectric combinatorics limit manner maps emerged spanning gamma dla brownian conjecturally tree space limits percolation random walk last liouville family tool solved loewner first canonical conformal sle decades lqg powerful statistical connected progress infancy discrete rigorous theory objects dbm diffusion scaling limited gravity string mathematical rpm ultimately questions 1990s map conjectured quantum connections sheffield joint aggregation unite qle metric describe plane schramm evolution roots nevertheless embedding purpose model intimately proved form sqrt settle equipped sense stochastic planar breakdown behavior physics theories uniform

Project "SPRS" data sheet

The following table provides information about the project.

Coordinator	THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE Organization address address: TRINITY LANE THE OLD SCHOOLS city: CAMBRIDGE postcode: CB2 1TN website: www.cam.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	United Kingdom [UK]
Total cost	1˙489˙406 €
EC max contribution	1˙489˙406 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2018-STG
Funding Scheme	ERC-STG
Starting year	2019
Duration (year-month-day)	from 2019-01-01 to 2023-12-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE Organization address address: TRINITY LANE THE OLD SCHOOLS city: CAMBRIDGE postcode: CB2 1TN website: www.cam.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (CAMBRIDGE)	coordinator	1˙489˙406.00

Map

Project objective

In the last several decades, two canonical theories of random surfaces have emerged. The first, so-called Liouville quantum gravity (LQG), has its roots in conformal field theory and string theory from the 1980s and 1990s. The second, so-called random planar maps (RPM), has its roots in combinatorics from the 1960s. There has been immense progress in recent years in making rigorous sense of LQG, in the study of the large-scale behavior of RPM, and developing connections between them as well as with other mathematical objects such as the Schramm-Loewner evolution (SLE).

The purpose of this project is to study stochastic processes on LQG and RPM.

The first part of the proposed research is focused on developing a theory of growth processes on LQG, the so-called quantum Loewner evolution (QLE). QLE, introduced in joint work with Sheffield, is a family of processes which conjecturally describe the scaling limits of discrete growth processes such as diffusion limited aggregation (DLA), the Eden model, and the dielectric breakdown model (DBM) on LQG. QLE has proved to be a powerful tool in the study of LQG and RPM and was used in joint work with Sheffield to unite LQG with gamma=sqrt(8/3) with the Brownian map, the metric space scaling limit of random planar maps. Nevertheless, the development of QLE is still in its infancy and many important problems remain to be solved.

It has long been conjectured that large RPM equipped with a statistical physics model, such as percolation or a uniform spanning tree, embedded into the plane in a conformal manner should be described by a form of LQG decorated by an SLE. The embedding problem is intimately connected to understanding random walk on a RPM, which has proved to be challenging. The second part of the proposal is aimed at developing new methods to settle long-standing questions about random walk on RPM, and ultimately the embedding problem for RPM.

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "SPRS" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

The information about "SPRS" are provided by the European Opendata Portal: CORDIS opendata.