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Details of Grant 

EPSRC Reference: GR/K95635/01
Title: MARKOV SEMIGROUPS IN NONCOMMUTATIVE LP SPACES
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 February 1996 Ends: 31 July 1996 Value (£): 19,592
EPSRC Research Topic Classifications:
Mathematical Analysis
EPSRC Industrial Sector Classifications:
Related Grants:
Panel History:  
Summary on Grant Application Form
The purpose of the project is to study the construction and ergodicity problems for Markov semi groups on C*-algebras associated to quantum spin systems on a lattice. We would like to consider te models of stochastic dynamics of jump type and show that at high temperatures if in one dimension at arbitrary temperatures they have a Feller Property and are strogly ergodic. To understand better spectral ad ergodix proeprties we would like also to study the properties of quantum Duruclet forms in relation to various coercice inequalities.
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Organisation Website: http://www.imperial.ac.uk