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FAST GROWTH IN THE FOLNER FUNCTION FOR THOMPSON’S GROUP F
FAST GROWTH FOLNER FUNCTION THOMPSON’S GROUP F
2015/8/17
The purpose of this note is to prove a lower bound on the growth of Følner functions for Thompson’s group F . Specifically I will prove that, for any finite generating set Γ ⊆ F , there is ...
We prove the niteness of class numbers and Tate-Shafarevich sets for all ane group
schemes of nite type over global function elds, as well as the niteness of Tamagawa
numbers and Godement's com...
Outgoing Cuntz Scattering System for a Coisometric Lifting and Transfer Function
multivariate operator theory row contraction contractive lifting outgoing Cuntz scattering system transfer function multi-analytic operator
2012/6/29
We study a coisometry that intertwines Popescu's presentations of minimal isometric dilations of a given operator tuple and of a coisometric lifting of the tuple. Using this we develop an outgoing Cun...
In this paper we realize some powers of Dedekind \eta-function as the trace of an operator on quantum coordinate algebras.
Lusztig's $a$ function for Coxeter groups of rank 3
Lusztig's $a$ function Coxeter groups of rank 3 Quantum Algebra
2011/9/1
Abstract: We show that Lusztig's $a$-function of a Coxeter group is bounded if the rank of the Coxeter group is 3.
Schur function expansions of KP tau functions associated to algebraic curves
Schur function expansions of KP tau functions algebraic curves
2010/12/28
The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of
τ -functions related to algebraic curves of arbitrary genus is studied in detail. Explicit expressions for t...
At which points exactly has Lebesgue's singular function the derivative zero ?
Takagi’s function Lebesgue’s singular function Nowhere-differentiable function
2011/2/28
Let La(x) be Lebesgue’s singular function with a real parameter a (0 < a < 1, a 6= 1/2). As is well known, La(x) is strictly increasing and has a derivative equal to zero almost everywhere.
The space of toroidal automorphic forms was introduced by Zagier in 1979. Let F be a global field. An automorphic form on GL(2) is toroidal if it has vanishing constant Fourier coefficients along all ...
Schur function expansions of KP tau functions associated to algebraic curves
Schur function expansions of KP tau functions algebraic curves
2011/2/21
The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of
τ -functions related to algebraic curves of arbitrary genus is studied in detail.
Igusa's p-adic local zeta function associated to a polynomial mapping and a polynomial integration measure
Igusa's p-adic local zeta function associated polynomial mapping polynomial integration measure
2011/2/25
For p prime, we give an explicit formula for Igusa’s local zeta function associated to a polynomial mapping f = (f1, . . . , ft) : Qn p ! Qt p,with f1, . . . , ft 2 Zp[x1, . . . , xn], and an integrat...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2011/3/1
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Weak convergence of the function-indexed integrated periodogram for infinite variance processes
Weak convergence the function-indexed integrated periodogram
2010/11/24
In this paper, we study the weak convergence of the integrated periodogram indexed by classes of functions for linear processes with symmetric $\alpha$-stable innovations. Under suitable summability ...
Interpolation function of the genocchi type polynomials
Interpolation function the genocchi type polynomials
2010/11/17
The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials...
Computations in Cubic Function Fields of Characteristic Three
Computations Cubic Function Fields of Characteristic Three
2010/11/29
This paper contains an account of arbitrary cubic function fields of characteristic three. We define a standard form for an arbitrary cubic curve and consider its function field. By considering an int...
Radon Transform on spheres and generalized Bessel function associated with dihedral groups
Radon Transform spheres generalized Bessel function associated dihedral groups
2010/12/14
Abstract. Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already conside...