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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...
Harmonic Maaß-Jacobi forms of degree 1 with higher rank indices
Harmonic Maaß -Jacobi forms degree 1 higher rank indices
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...
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
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, ...
Conjugacy Structure Type and Degree Structure Type in Finite p-groups
breadth conjugacy structure type degree structure type
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...
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.