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math-ph2024
Harmonic locus and Calogero-Moser spaces
Giovanni Felder, Alexander P. Veselov
We study the harmonic locus consisting of the monodromy-free Schrödinger operators with rational potential and quadratic growth at infinity. It is known after Oblomkov that it can…
nlin.SI2024
Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes
John Gibbons, Alexander Stokes, Alexander P. Veselov
We study a delay-differential analogue of the first Painlevé equation obtained as a delay periodic reduction of Shabat's dressing chain. We construct formal entire solutions to thi…
math.CO2024
Differential algebra of polytopes and inversion formulas
V. M. Buchstaber, A. P. Veselov
We use the differential algebra of polytopes to explain the known remarkable relation of the combinatorics of the associahedra and permutohedra with the universal compositional and…