111 citations · 487 across the 34 of their papers we have counts for
33 papers
On spectrum of the harmonic Kronig-Penney model
J. Gibbons, A. P. Veselov
We study the spectral properties of the harmonic modification of the quantum mechanical Kronig-Penney model motivated by the theory of the dressing chain. In particular, we show th…
Euclidean -systems and real PK arrangements
Martin de Borbon, Dmitri Panov, Alexander P. Veselov
We establish a correspondence between two structures arising in the geometry of hyperplane arrangements: Euclidean -systems and real polyhedral Kähler (PK) arrangements. We p…
Algebraic topology of the Lagrange inversion
Victor M. Buchstaber, Alexander P. Veselov
The Lagrange inversion formula for power series is one of the classical formulas from analysis and combinatorics. A nice geometric interpretation of this formula in terms of the St…
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…
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…
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…