Results 31 to 40 of about 1,398 (73)

Diagonal Coinvariants and Double Affine Hecke Algebras [PDF]

, 2003
We establish a q-generalization of Gordon's theorem that the space of diagonal coinvariants has a quotient identified with a perfect representation of the rational double affine Hecke algebra.
Cherednik, Ivan
core   +3 more sources

Appell polynomials and their relatives [PDF]

, 2004
This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials.
Anshelevich, Michael
core   +4 more sources

The Ginibre ensemble and Gaussian analytic functions

, 2011
We show that as $n$ changes, the characteristic polynomial of the $n\times n$ random matrix with i.i.d. complex Gaussian entries can be described recursively through a process analogous to P\'olya's urn scheme.
Bálint Virág, Dumitriu, Girko, Hough, Kostlan, Manjunath Krishnapur, Nazarov, Ramírez, Rider, Sodin, Sodin, Trotter, Valkó   +12 more
core   +1 more source

Appell polynomials and their relatives II. Boolean theory

, 2007
The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of the three universal non-commutative probability theories (the other two ...
Anshelevich, Michael
core   +2 more sources

Free Meixner states

, 2007
Free Meixner states are a class of functionals on non-commutative polynomials introduced in math.CO/0410482. They are characterized by a resolvent-type form for the generating function of their orthogonal polynomials, by a recursion relation for those ...
C.N. Morris, D. Kim, D. Pommeret, E. Lytvynov, G. Szegö, H.T. Koelink, I. Kubo, J. Meixner, J. Wesołowski, J.M. Cohen, L. Accardi, M. Anshelevich, M. Anshelevich, M. Anshelevich, M. Bożejko, M. Bożejko, M. Bożejko, M. Casalis, Michael Anshelevich, N. Saitoh, P. Flajolet, P. Śniady, R.G. Laha, É. Ricard   +23 more
core   +2 more sources

Asymptotic improvement of the Gilbert-Varshamov bound for linear codes

, 2006
The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1) where V(n,d) stands for the volume of a Hamming ball of radius d.
Gaborit, Philippe, Zemor, Gilles
core   +5 more sources

Integrals of Motion for Critical Dense Polymers and Symplectic Fermions

, 2009
We consider critical dense polymers ${\cal L}(1,2)$. We obtain for this model the eigenvalues of the local integrals of motion of the underlying Conformal Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed description of the relation
Alessandro Nigro, Brankov J G, Feigin B L Gainutdinov A M Semikhatov A M Tipunin I Yu, Gaberdiel M R, Jones V F R, Kausch H G, Nigro A, Nigro A, Pearce P A, Pearce P A, Pearce P A, Pearce P A, Piroux G, Piroux G, Sasaki R   +14 more
core   +2 more sources

Time--space harmonic polynomials relative to a L\'{e}vy process

, 2008
In this work, we give a closed form and a recurrence relation for a family of time--space harmonic polynomials relative to a L\'{e}vy process. We also state the relationship with the Kailath--Segall (orthogonal) polynomials associated to the process ...
Frederic Utzet, Josep Llu, Ís Solé
core   +2 more sources

Probabilistic multi-Stirling numbers of the second kind associated with random variables

Applied Mathematics in Science and Engineering
This paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials.
Xiangjing Liu, Yuankui Ma, Taekyun Kim, Dae San Kim, Yanan Hei   +4 more
doaj   +1 more source

Equivariant Kirchberg-Phillips-type absorption for amenable group actions

, 2018
We show an equivariant Kirchberg-Phillips-type absorption theorem for pointwise outer actions of discrete amenable groups on Kirchberg algebras with respect to natural model actions on the Cuntz algebras $\mathcal{O}_\infty$ and $\mathcal{O}_2$.
Szabo, Gabor
core   +1 more source