Details of Grant 

EPSRC Reference:	EP/D05379X/1
Title:	Analysis of infinite systems of noncommuting fields
Principal Investigator:	Zegarlinski, Professor B
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	Imperial College London
Scheme:	Standard Research (Pre-FEC)
Starts:	01 June 2006	Ends:	31 May 2011	Value (£):	322,522
EPSRC Research Topic Classifications:	Mathematical Analysis Statistics & Appl. Probability
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
The purpose of the project is to study the ergodicity properties of semigroups with generators given in the H\ ormander's form via an infinite system of noncommuting fields defined on an infinite dimensional space. Such cases are very important in applications (e.g. in statistical mechanics of nonhomogenous systems, superconductivity, ecology, finance,...) and therefore it would be important to make a progress in their mathematical understanding, which is still very restricted. We would like to develop a method for controlling the construction, (local) smoothness as well as ergodicity of dissipative dynamics and apply it to some important models (as e.g. d>2 Heisenberg models with generalised Kawasaki dynamics).
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Organisation Website:	http://www.imperial.ac.uk