Advanced determinant calculus: a complement
C Krattenthaler - Linear Algebra and its Applications, 2005 - Elsevier
This is a complement to my previous article “Advanced Determinant Calculus”[C.
Krattenthaler, Advanced determinant calculus, Séminaire Lotharingien Combin. 42 …
Krattenthaler, Advanced determinant calculus, Séminaire Lotharingien Combin. 42 …
On combinatorial expansion of the conformal blocks arising from AGT conjecture
VA Alba, VA Fateev, AV Litvinov… - Letters in Mathematical …, 2011 - Springer
In their recent paper, Alday et al.(Lett Math Phys 91: 167–197, 2010) proposed a relation
between N= 2 four-dimensional supersymmetric gauge theories and two-dimensional …
between N= 2 four-dimensional supersymmetric gauge theories and two-dimensional …
[图书][B] Algorithmes efficaces en calcul formel
Le calcul formel traite des objets mathématiques exacts d'un point de vue informatique. Cet
ouvrage «Algorithmes efficaces en calcul formel» explore deux directions: la calculabilité et …
ouvrage «Algorithmes efficaces en calcul formel» explore deux directions: la calculabilité et …
Combinatorial entropies and statistics
RK Niven - The European Physical Journal B, 2009 - Springer
We examine the combinatorial or probabilistic definition (“Boltzmann's principle”) of the
entropy or cross-entropy function H∝ \rmlnW or D∝-\rmlnP, where W is the statistical weight …
entropy or cross-entropy function H∝ \rmlnW or D∝-\rmlnP, where W is the statistical weight …
The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
GN Han - Annales de l'Institut Fourier, 2010 - numdam.org
An explicit expansion formula for the powers of the Euler Product in terms of partition hook
lengths was discovered by Nekrasov and Okounkov in their study of the Seiberg-Witten …
lengths was discovered by Nekrasov and Okounkov in their study of the Seiberg-Witten …
A computational and combinatorial exposé of plethystic calculus
NA Loehr, JB Remmel - Journal of Algebraic Combinatorics, 2011 - Springer
In recent years, plethystic calculus has emerged as a powerful technical tool for studying
symmetric polynomials. In particular, some striking recent advances in the theory of …
symmetric polynomials. In particular, some striking recent advances in the theory of …
Six-vertex, loop and tiling models: integrability and combinatorics
P Zinn-Justin - arXiv preprint arXiv:0901.0665, 2009 - arxiv.org
This is a review (including some background material) of the author's work and related
activity on certain exactly solvable statistical models in two dimensions, including the six …
activity on certain exactly solvable statistical models in two dimensions, including the six …
[图书][B] Representation theory of symmetric groups
PL Méliot - 2017 - taylorfrancis.com
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on
the subject of symmetric groups and representation theory. Utilizing new research and …
the subject of symmetric groups and representation theory. Utilizing new research and …
Factorial Schur functions and the Yang-Baxter equation
D Bump, PJ McNamara, M Nakasuji - arXiv preprint arXiv:1108.3087, 2011 - arxiv.org
Factorial Schur functions are generalizations of Schur functions that have, in addition to the
usual variables, a second family of" shift" parameters. We show that a factorial Schur …
usual variables, a second family of" shift" parameters. We show that a factorial Schur …
[图书][B] Bounded Littlewood identities
E Rains, S Warnaar - 2021 - ams.org
We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for
proving bounded Littlewood identities. Our approach provides an alternative to Macdonald's …
proving bounded Littlewood identities. Our approach provides an alternative to Macdonald's …