Results 1 to 10 of about 42 (41)
Yang–Baxter Field for Spin Hall–Littlewood Symmetric Functions
Forum of Mathematics, Sigma, 2019 Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$.
Alexey Bufetov, Leonid Petrov
exaly +3 more sources
Derangement model of ligand-receptor binding
Computational and Mathematical Biophysics, 2022 We introduce a derangement model of ligand-receptor binding that allows us to quantitatively frame the question “How can ligands seek out and bind to their optimal receptor sites in a sea of other competing ligands and suboptimal receptor sites?” To ...
Williams Mobolaji
doaj +1 more source
Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 693-715, August 2020., 2020 Abstract Let g be a finite‐dimensional semisimple complex Lie algebra and θ an involutive automorphism of g. According to Letzter, Kolb and Balagović the fixed‐point subalgebra k=gθ has a quantum counterpart B, a coideal subalgebra of the Drinfeld–Jimbo quantum group Uq(g) possessing a universal K‐matrix K.
Vidas Regelskis, Bart Vlaar
wiley +1 more source
HALF-SPACE MACDONALD PROCESSES
Forum of Mathematics, Pi, 2020 Macdonald processes are measures on sequences of integer partitions built using the Cauchy summation identity for Macdonald symmetric functions. These measures are a useful tool to uncover the integrability of many probabilistic systems, including the ...
GUILLAUME BARRAQUAND +2 more
doaj +1 more source
The hidden quantum group of the eight-vertex free fermion model: q-Clifford algebras [PDF]
, 1993 5 pages, no figures.-- MSC2000 codes: Primary: 82B23; Secondary: 17B37, 81R50.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/9302089MR#: MR1235537 (94g:82014)We prove in this paper that the elliptic R-matrix of the eight vertex free fermion
Sierra, Germán +4 more
core +1 more source
On integrable quantum group invariant antiferromagnets [PDF]
, 1993 10 pages, 7 figures.-- PACS nrs.: 05.50.+q, 02.90.+p, 75.10.Jm.-- MSC1991 codes: 82B23, 17B37.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/9205109Lecture given by C.G. at the Winter School on Theoretical Physics, Wroclaw, Poland, February
C. Gómez +6 more
core +1 more source
Challenges for Modeling Nuclear Structure: Are the Proton and Neutron Masses and A-body Interactions Relevant? [PDF]
, 2010 We discuss some of the challenges that future nuclear modeling may face in order to improve the description of the nuclear structure. One challenge is related to the need for A-body nuclear interactions justified by various contemporary nuclear physics ...
Vary, J. P. +4 more
core +1 more source
Electrostatic models for zeros of polynomials: Old, new, and some open problems [PDF]
, 2007 15 pages, 2 figures.-- MSC2000 codes: Primary, 30C15; Secondary, 34C10; 33C45; 42C05; 82B23.MR#: MR2345246 (2008h:33017)Zbl#: Zbl 1131.30002We give a survey concerning both very classical and recent results on the electrostatic interpretation of the ...
Marcellán, Francisco +6 more
core +1 more source
Forum of Mathematics, Pi, 2019 In last passage percolation models lying in the Kardar–Parisi–Zhang (KPZ) universality class, the energy of long energy-maximizing paths may be studied as a function of the paths’ pair of endpoint locations.
ALAN HAMMOND
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 9, Page 513-553, 2002., 2002 We investigate an N‐state spin model called quantum relativistic Toda chain and based on the unitary finite‐dimensional representations of the Weyl algebra with q being Nth primitive root of unity. Parameters of the finite‐dimensional representation of the local Weyl algebra form the classical discrete integrable system.
Stanislav Pakuliak, Sergei Sergeev
wiley +1 more source