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Tree homology and a conjecture of Levine
Levine conjecture tree homology homology cylinders Whitney towers
2011/1/21
In his study of the group of homology cylinders, J. Levine [19] made the con-jecture that a certain homomorphism 0 : T ! D0 is an isomorphism. Here T is an abelian group on labeled oriented trees, an...
On dynamical systems and phase transitions for $Q+1$-state $P$-adic Potts model on the Cayley tree
dynamical systems phase transitions
2010/11/11
In the present paper, we introduce a new kind of $p$-adic measures for $q+1$-state Potts model, called {\it $p$-adic quasi Gibbs measure}. For such a model, we derive a recursive relations with respe...
The present paper investigates non-asymptotic properties of two popular procedures of context tree (or Variable Length Markov Chains) estimation: Rissanen's algorithm Context and the Penalized Maximum...
On the Eigenvalue Two and Matching Number of a Tree
Tree Laplacian eigenvalues matching number
2007/12/11
In [6], Guo and Tan have shown that $2$ is a Laplacianeigenvalue of any tree with perfect matchings. For trees withoutperfect matchings, we study whether $2$ is one of its Laplacianeigenvalues. If th...