منابع مشابه
A Contour Method on Cayley tree
We consider a finite range lattice models on Cayley tree with two basic properties: the existence of only a finite number of ground states and with Peierls type condition. We define notion of a contour for the model on the Cayley tree. By a contour argument we show the existence of s different (where s is the number of ground states) Gibbs measures.
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Two stochastic processes describing the contour of simply generated random trees are studied: the contour process as deened by Gutjahr and PPug 9] and the traverse process constructed of the node heights during pre-order traversal of the tree. Using mul-tivariate generating functions and singularity analysis the weak convergence of the contour process to Brownian excursion is shown and a new pr...
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This article presents a method for finding the critical probability pc for the Bernoulli bond percolation on graphs with the so called tree-like structure. Such graphs can be decomposed into a tree of pieces which have finitely many isomorphism classes. This class of graphs includes the Cayley graphs of amalgamated products, HNN extensions or general groups acting on trees. It also includes all...
متن کاملPlasticity Effect on Residual Stresses Measurement Using Contour Method
Residual stresses have become an important player in the field of the structural integrity for many years. Having an exact knowledge of residual stress distributions can be essential in designing the engineering components as unexpected failures are inevitable where such stresses are ignored. There are many residual stresses measurement techniques including destructive and non-destructive ones...
متن کاملDistributed Contour Trees
Topological techniques provide robust tools for data analysis. They are used, for example, for feature extraction, for data de-noising, and for comparison of data sets. This chapter concerns contour trees, a topological descriptor that records the connectivity of the isosurfaces of scalar functions. These trees are fundamental to analysis and visualization of physical phenomena modeled by real-...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2007
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-007-9455-1