Vertices of high degree in the preferential attachment tree      random graphs  web graphs  concentration of measure  martingales       font style='font-size:12px;'> 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...

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Harmonic Maaß-Jacobi forms of degree 1 with higher rank indices      Harmonic Maaß  -Jacobi forms  degree 1  higher rank indices        font style='font-size:12px;'> 2011/1/21

We define and investigate real analytic weak Jacobi forms of degree 1 and arbitrary rank. En route we calculate the Casimir operator associated to the maximal central extension of the real Jacobi grou...

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The Homological Theory of Degree of FQL-Mappings     Simplex  complex  cylinder  chain  cycle  homology  dimension  family with the finite dimensional opening  Fredholm Quasi-Linear mapping       font style='font-size:12px;'> 2010/2/26

In this article the homological theory is specially worked out, ìadaptedî for definition of the degree of mapping from one of the classes of infinite-dimensional mappings, exactly FQL-mappings, ...

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Conjugacy Structure Type and Degree Structure Type in Finite p-groups     breadth  conjugacy structure type  degree structure type       font style='font-size:12px;'> 2010/3/1

Let G be a finite p-group, and denote by k(G) number of conjugacy classes in G. The aim of this paper is to introduce the conjugacy structure type and degree structure type for p-groups, and determine...

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A Special Quasi-Linear Mapping and its Degree     Quasi-Linear Mapping  Banach spaces       font style='font-size:12px;'> 2010/3/1

In this article, for the purpose of expanding to the mappings between Banach manifolds, a degree is determined in for the mappings between Banach spaces, which are from the obvious class.

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