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math-ph2026
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…
math.DG2026
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…
math.AG2026
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…