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EP/J019496/1 - Processes of coalescence and fragmentation: phase transitions, scaling limits and self-organised criticality

Research Perspectives grant details from EPSRC portfolio

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Dr CA Goldschmidt EP/J019496/1 - Processes of coalescence and fragmentation: phase transitions, scaling limits and self-organised criticality

Principal Investigator - Statistics, University of Oxford

Other Investigators

Professor B Hambly, Co InvestigatorProfessor B Hambly

Dr JB Martin, Co InvestigatorDr JB Martin

Scheme

Standard Research

Research Areas

Logic and Combinatorics Logic and Combinatorics

Statistics and Applied Probability Statistics and Applied Probability

Start Date

02/2013

End Date

02/2016

Value

£309,791

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Grant Description

Summary and Description of the grant

This project is focused on a rich collection of probabilistic models
which involve phenomena of coalescence and fragmentation.

We propose a unified approach to the study of a large class of models
which have separately attracted significant attention in a variety of
contexts.

A particular goal is to give new and powerful descriptions of scaling
limits, and to understand phenomena of phase transition and
self-organised criticality. Such themes are of considerable
significance across a wide range of fields in physics, probability
theory, discrete mathematics and complex systems.

Some of the systems studied will also serve as tools in the analysis
of certain spatial models, which are of lively current interest due to
their relationship to quantum spin systems and physical topics such as
superfluidity.

The last part of the project centres on random interlacements, an
emerging model of percolation and erosion in which long-range
interactions play a significant role. We will combine a range of
probabilistic, geometric and analytic tools to describe the discrete
random structures that emerge, and to understand how their properties
differ from those of traditional percolation models.

Structured Data / Microdata


Grant Event Details:
Name: Processes of coalescence and fragmentation: phase transitions, scaling limits and self-organised criticality - EP/J019496/1
Start Date: 2013-02-28T00:00:00+00:00
End Date: 2016-02-27T00:00:00+00:00

Organization: University of Oxford

Description: This project is focused on a rich collection of probabilistic models which involve phenomena of coalescence and fragmentation. We propose a unified approach to the study of a large class of models which have separately attracted significant attention in a ...