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Numerical analysis of minimal beta-sequences associated with a family of entire functions
Numerical analysis Entire functions Pochhammer polynomials Riemann Xi-function
2011/9/22
Abstract: The Riemann Xi-function Xi(t)=xi(1/2+it) is a particularly interesting member of a broad family of entire functions which can be expanded in terms of symmetrized Pochhammer polynomials depen...
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 time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations
Gaussian processes Fokker-Planck-Kolmogorov equations
2010/11/18
This paper establishes Fokker-Planck-Kolmogorov type equations for time-changed Gaussian processes. Examples include those equations for a time-changed fractional Brownian motion with time-dependent ...
On Space of Parabolic Potentials Associated with the Singular Heat Operator
Generalized translation Fourier-Bessel transform parabolic potential wavelet transform
2010/2/26
Anisotropic spaces Lp,ga of parabolic Bessel potentials, associated with the singular heat operator I-Dg+ \frac{\partial}{\partial t}, where Dg = \sum\limitsk=1n \frac{\partial 2}{\partial xk2} + \fra...
Integer Sequences associated with Integer Monic Polynomial
Integer Sequences Integer Monic Polynomial
2010/10/29
To every integer monic polynomial of degree m can be associated m integer sequences having interesting properties to the roots of the polynomial. These sequences can be used to find the real roots of...
The HyperKähler Geometry Associated to Wolf Spaces
The HyperKä hler Geometry Associated Wolf Spaces
2010/10/29
Let G be a compact simple Lie group and the O the minimal nilpotent orbit in g^C. We determine all G-invariant K\"ahler potentials for hyperK\"ahler metrics compatible with the KKS complex symplectic...