Results 1 to 10 of about 17 (17)
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
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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
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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
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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
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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
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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
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Quantum relativistic Toda chain
Journal of Applied Mathematics, Volume 1, Issue 2, Page 47-68, 2001., 2001 Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra‐local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six‐vertex R‐matrix.
G. Pronko, Sergei Sergeev
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Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation
Forum of Mathematics, SigmaThe spectrum and orthogonal eigenbasis are computed of a tridiagonal matrix encoding a finite-dimensional reduction of the difference Lamé equation at the single-gap integral value of the coupling parameter.
Jan Felipe van Diejen
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Free fermionic probability theory and k-theoretic schubert calculus
Forum of Mathematics, SigmaFor each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao +2 more
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Bounded Littlewood identity related to alternating sign matrices
Forum of Mathematics, SigmaAn identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
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