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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...
Vertices of high degree in the preferential attachment tree
random graphs web graphs concentration of measure martingales
2011/2/28
We study the basic preferential attachment process, which generates a sequence of random trees, each obtained from the previous one by introducing a new vertex and joining it to one existing vertex,ch...
An expanded merger-tree description of cluster evolution
expanded merger-tree description cluster evolution
2011/1/11
We model the formation and evolution of galaxy clusters in the framework of an extended dark matter halo merger-tree algorithm that includes baryons and incorporates basic physical considerations. Our...
Feynman's Tree Theorem and Loop-Tree Dualities
Feynman's Tree Theorem Loop-Tree Dualities
2010/12/24
We discuss the duality theorem, which provides a relation between loop integrals and phase space integrals. We rederive the duality relation for the one-loop case and extend it to two and higher-order...
In this paper, we study the tree amplitudes with gluons coupled to gravitons. We first study the relations among the mixed amplitudes. With BCFW on-shell recursion relation, we will show the color-ord...
Efficient Tree-Amplitudes in N=4: Automatic BCFW Recursion in Mathematica
Efficient Tree-Amplitudes in N=4 Automatic BCFW Recursion Mathematica
2010/12/27
We describe an efficient implementation of the BCFW recursion relations for tree-amplitudes in N=4 super Yang-Mills, which can generate analytic formulae for general N^kMHV colour-ordered helicity-amp...
Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
Bonus Relations N=8 Supergravity Tree Amplitudes
2010/12/24
We study the application of non-trivial relations between gravity tree amplitudes, the bonus relations, to all tree-level amplitudes in N=8 supergravity. We show that the relations can be used to sim...
We obtain new results for the probabilistic model introduced in Menshikov et al (2007) and Volkov (2006) which involves a $d$-ary regular tree. All vertices are coloured in one of $d$ distinct colour...
Sandpile cascades on interacting tree-like networks
Disordered Systems and Neural Networks (cond-mat.dis-nn) Adaptation and Self-Organizing Systems (nlin.AO)
2010/11/10
The vulnerability of an isolated network to cascades is fundamentally affected by its interactions with other networks. Motivated by failures cascading among electrical grids, we study the Bak-Tang-Wi...
On Quantum Markov Chains on Cayley tree II: Phase transitions for the associated chain with XY-model on the Cayley tree of order three
On Quantum Markov Chains Cayley tree II
2010/11/15
In the present paper we study forward Quantum Markov Chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a Cayley tree. By me...
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...
Decision Tree Classifiers for Star/Galaxy Separation
Methods data analysis Catalogues Surveys Virtual observatory tools
2010/11/12
We study the star/galaxy classification eciency of 13 di erent decision tree algorithms applied to photometric objects in the Sloan Digital Sky Survey Data Release Seven (SDSS DR7). Each algorithm is...
Tree modules
Tree modules matj
2010/11/11
After stating several tools which can be used to construct indecomposable tree modules for quivers without oriented cycles, we use these methods to construct indecomposable tree modules for every ima...
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...
Parametric identification of a functional-structural tree growth model and application to beech trees (Fagus sylvatica)
Parametric identification functional-structural tree growth model application to beech trees
2010/11/16
Functional-structural models provide detailed representations of tree growth and their application to forestry seems full of prospects. However, owing to the complexity of tree architecture, parametr...