| EPSRC Reference: |
EP/J019496/1 |
| Title: |
Processes of coalescence and fragmentation: phase transitions, scaling limits and self-organised criticality |
| Principal Investigator: |
Goldschmidt, Professor CA |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Statistics |
| Organisation: |
University of Oxford |
| Scheme: |
Standard Research |
| Starts: |
28 February 2013 |
Ends: |
31 August 2016 |
Value (£): |
309,791
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| EPSRC Research Topic Classifications: |
| Logic & Combinatorics |
Statistics & Appl. Probability |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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04 Jul 2012
|
Mathematics Prioritisation Panel Meeting July 2012
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Announced
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Summary on Grant Application Form |
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.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.ox.ac.uk |