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Equidistribution of Eisenstein series on convex co-compact hyperbolic manifolds
Equidistribution of Eisenstein series convex co-compact hyperbolic manifolds Spectral Theory
2011/9/5
Abstract: For convex co-compact hyperbolic manifolds $\Gamma\backslash \mathbb{H}^{n+1}$ for which the dimension of the limit set satisfies $\delta_\Gamma< n/2$, we show that the high-frequency Eisens...
Almost Series-Parallel graphs: structure and colorability
Series-Parallel graphs structure colorability
2011/2/28
The series-parallel (SP) graphs are those containing no topological K4 and are considered trivial.We relax the prohibition distinguishing the SP graphs by forbidding only embeddings of K4 whose edges ...
Geometrization of principal series representations of GL_N associated to regular characters
Geometrization principal series representations
2010/11/23
In geometric representation theory, one often wishes to describe representations realized on spaces of invariant functions as trace functions of equivariant perverse sheaves. In the case of principal...
Ramanujan-like series for $1/\pi^2$ and String Theory
Ramanujan-like series for 1/2 Hypergeometric Series Calabi-Yau differential
2010/12/13
Using the machinery from the theory of Calabi-Yau differential equations,we find formulas for 1/2 of hypergeometric and non-hypergeometric types.
Analytical Determination of Fractal Structure in Stochastic Time Series
Fractal Structure Stochastic Time Series
2010/4/8
Current methods for determining whether a time series exhibits fractal structure (FS) rely on subjective assessments on estimators of the Hurst exponent (H). Here, I introduce the Bayesian Assessment ...
NEUMANN SERIES SOLUTION TO A NEUTRON TRANSPORT EQUATION OF SLAB GEOMETRY
Neutron transport equation series soluti
2007/8/7
This paper deals with the solution to an energy, dependent stationary neutron transport equation of slab geometry. In L~p space, the equation is converted into an equivalent integral equation. By the ...
Summation and transformation formulas for elliptic hypergeometric series
Summation transformation formulas elliptic hypergeometric series
2010/10/29
Using matrix inversion and determinant evaluation techniques we prove several summation and transformation formulas for terminating, balanced, very-well-poised, elliptic hypergeometric series.
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
elliptic curve S-duality theory Eisenstein series Kac-Moody groups
2010/10/29
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surfa...