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Functions of random walks on hyperplane arrangements
Random walk Hyperplane arrangement Subarrangement Eigenvalues Mixing rate Tsetlin library Inverse shu es Acyclic orientation Descent set
2015/7/7
Functions of random walks on hyperplane arrangements。
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
The coefficient matrix and symmetric function hopf algebra
2015/7/7
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi-nite ...
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...
Polynomial estimates for c-functions on reductive symmetric spaces
Polynomial c-functions reductive symmetric spaces
2010/11/8
The c-functions, related to a reductive symmetric space G/H and a fixed representation of a maximal compact subgroup K of G, are shown to satisfy polynomial bounds in imaginary directions.
On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings
On Lusin's area integrals g-functions Laguerre settings
2010/11/9
We investigate $g$-functions and Lusin's area type integrals related to certain multi-dimensional Dunkl and Laguerre settings. We prove that the considered square functions are bounded on weighted $L^...
Intersection of stable and unstable manifolds for invariant Morse functions
unstable manifolds invariant Morse functions
2010/11/19
We study the structure of the smooth manifold which is defined as the intersection of a stable manifold and an unstable manifold for an invariant Morse-Smale function.
A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions
asymptotic formula the second moment of Rankin-Selberg L-functions
2010/11/15
We consider the Rankin-Selberg L-functions associated with a fixed modular form of full level and holomorphic cuspidal newforms of large even weight, fixed level and fixed primitive nebentypus. We com...