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Aspects of Spatial ...
Aspects of Spatial Random Processes
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- Häggström, Olle, 1967 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- ISBN 9171970150
- Göteborg : Chalmers University of Technology, 1994
- Engelska.
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Abstract
Ämnesord
Stäng
- This thesis consists of five papers dealing with various aspects of spatial random processes. In the first three papers the main focus is on a special class of such processes, namely measures of maximal entropy for subshifts of finite type. These are shown to be closely related to Gibbs measures, and the question of whether a given subshift of finite type has a unique measure of maximal entropy is also discussed. In the fourth paper the theory of subshifts of finite type is exploited in order to derive properties of uniform spanning trees for a certain class of infinite graphs. The fifth paper deals with stationary first passage percolation, the main result being a necessary and sufficient condition for a compact set B in Rd to arise as the asymptotic shape for some stationary measure on the passage times.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- subshift of finite type
- measure of maximal entropy
- Ising model
- Gibbs measure
- uniform spanning tree
- first passage percolation
- asymptotic shape
- first passage percolation
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