Durfee rectangles and pseudo‐Wronskian equivalences for Hermite polynomials
D Gómez‐Ullate, Y Grandati… - Studies in Applied …, 2018 - Wiley Online Library
We derive identities between determinants whose entries are Hermite polynomials. These
identities have a combinatorial interpretation in terms of Maya diagrams, partitions and …
identities have a combinatorial interpretation in terms of Maya diagrams, partitions and …
A Riemann–Hilbert method to algebro-geometric solutions of the Korteweg–de Vries equation
P Zhao, E Fan - Physica D: Nonlinear Phenomena, 2023 - Elsevier
A proof without using Dubrovin's equations is given for the Its–Matveev formula for algebro-
geometric solutions of the Korteweg–de Vries (KdV) equation. It is shown that the Baker …
geometric solutions of the Korteweg–de Vries (KdV) equation. It is shown that the Baker …
Cohen–Macaulay modules over the algebra of planar quasi–invariants and Calogero–Moser systems
I Burban, A Zheglov - Proceedings of the London Mathematical …, 2020 - Wiley Online Library
In this paper, we study properties of the algebras of planar quasi‐invariants. These algebras
are Cohen–Macaulay and Gorenstein in codimension one. Using the technique of matrix …
are Cohen–Macaulay and Gorenstein in codimension one. Using the technique of matrix …
Deformed Calogero–Moser operators and ideals of rational Cherednik algebras
Y Berest, O Chalykh - Communications in Mathematical Physics, 2023 - Springer
We introduce a class of hyperplane arrangements A in C n that generalise the locus
configurations of Chalykh, Feigin and Veselov. To such an arrangement we associate a …
configurations of Chalykh, Feigin and Veselov. To such an arrangement we associate a …
[HTML][HTML] Quasi–invariant Hermite Polynomials and Lassalle–Nekrasov Correspondence
MV Feigin, MA Hallnäs, AP Veselov - Communications in Mathematical …, 2021 - Springer
Lassalle and Nekrasov discovered in the 1990s a surprising correspondence between the
rational Calogero–Moser system with a harmonic term and its trigonometric version. We …
rational Calogero–Moser system with a harmonic term and its trigonometric version. We …
Periodic vortex streets and complex monodromy
AD Hemery, AP Veselov - SIGMA. Symmetry, Integrability and Geometry …, 2014 - emis.de
Periodic Vortex Streets and Complex Monodromy Page 1 Symmetry, Integrability and Geometry:
Methods and Applications SIGMA 10 (2014), 114, 18 pages Periodic Vortex Streets and Complex …
Methods and Applications SIGMA 10 (2014), 114, 18 pages Periodic Vortex Streets and Complex …
Baker-Akhiezer functions and generalised Macdonald-Mehta integrals
MV Feigin, MA Hallnäs, AP Veselov - Journal of Mathematical Physics, 2013 - pubs.aip.org
For the rational Baker-Akhiezer functions associated with special arrangements of
hyperplanes with multiplicities we establish an integral identity, which may be viewed as a …
hyperplanes with multiplicities we establish an integral identity, which may be viewed as a …
Surprising examples of nonrational smooth spectral surfaces
AB Zheglov - Sbornik: Mathematics, 2018 - iopscience.iop.org
In this paper we study necessary and sufficient algebro-geometric conditions for the
existence of a nontrivial commutative subalgebra of rank $1 $ in $\widehat {D} $, a …
existence of a nontrivial commutative subalgebra of rank $1 $ in $\widehat {D} $, a …
Удивительные примеры нерациональных гладких спектральных поверхностей
АБ Жеглов - Математический сборник, 2018 - mathnet.ru
Эти условия являются условиями на проективную (спектральную) поверхность и входят
в определение нового понятия пре-спектральных данных. Для гладких поверхностей …
в определение нового понятия пре-спектральных данных. Для гладких поверхностей …
[PDF][PDF] Quasi-invariant Hermite Polynomials and Lassalle-Nekrasov
Lassalle and Nekrasov discovered in the 1990s a surprising correspondence between the
rational Calogero–Moser system with a harmonic term and its trigonometric version. We …
rational Calogero–Moser system with a harmonic term and its trigonometric version. We …