Results 121 to 130 of about 18,223 (230)

Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems

Nuclear Physics B
Macdonald symmetric polynomial at t=q−m reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear difference equations with constant coefficients, much simpler than those induced by ...
A. Mironov, A. Morozov, A. Popolitov
doaj   +1 more source

3d field theory, plane partitions and triple Macdonald polynomials

Journal of High Energy Physics, 2019
We argue that MacMahon representation of Ding-Iohara-Miki (DIM) algebra spanned by plane partitions is closely related to the Hilbert space of a 3d field theory.
Yegor Zenkevich
doaj   +1 more source

Inversion of the Pieri formula for Macdonald polynomials

Advances in Mathematics, 2006
We give the explicit analytic development of Macdonald polynomials in terms of "modified complete" and elementary symmetric functions. These expansions are obtained by inverting the Pieri formula. Specialization yields similar developments for monomial, Jack and Hall-Littlewood symmetric functions.
Lassalle, Michel, Schlosser, M.
openaire   +4 more sources

Factorizations of Pieri rules for Macdonald polynomials

Discrete Mathematics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mark Haiman, Adriano M. Garsia
openaire   +2 more sources

Long-Term Change in Bone Mineral Density in Women Living With HIV: A 10-Year Prospective Controlled Cohort Study. [PDF]

JBMR Plus, 2023
Macdonald HM, Maan EJ, Berger C, Côte HCF, Murray MCM, Pick N, Prior JC, CIHR Team in Cellular Aging and HIV Comorbidities in Women and Children: CARMA.   +7 more
europepmc   +1 more source

Elliptic deformation of the Gaiotto-Rapčák corner VOA and the associated partially symmetric polynoimals

Journal of High Energy Physics
We construct the elliptic Miura transformation and use it to obtain the expression of the currents of elliptic corner VOA. We subsequently prove a novel combinatorial formula that is essential for deriving the quadratic relations of the currents.
Panupong Cheewaphutthisakun, Jun’ichi Shiraishi, Keng Wiboonton   +2 more
doaj   +1 more source

Performance Comparison of Classical Methods and Neural Networks for Colour Correction. [PDF]

J Imaging, 2023
Kucuk A, Finlayson GD, Mantiuk R, Ashraf M.   +3 more
europepmc   +1 more source

Vector valued Macdonald polynomials

, 2011
85 pages, 5 ...
Dunkl, Charles F., Luque, Jean-Gabriel
openaire   +3 more sources

On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians

Physics Letters B
Quite some years ago, Oleg Chalykh has built a nice theory from the observation that the Macdonald polynomial reduces at t=q−m to a sum over permutations of simpler polynomials called Baker-Akhiezer functions, which can be unambiguously constructed from ...
A. Mironov, A. Morozov, A. Popolitov
doaj   +1 more source

Interaction of Nanoparticles in Electrolyte Solutions. [PDF]

J Phys Chem B, 2023
Filippov AV, Starov V.
europepmc   +1 more source