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4 papers · 2 filters
Square ice, alternating sign matrices and classical orthogonal polynomials
F. Colomo, A. G. Pronko
The six-vertex model with Domain Wall Boundary Conditions, or square ice, is considered for particular values of its parameters, corresponding to 1-, 2-, and 3-enumerations of Alte…
Ultrametric pseudodifferential operators and wavelets for the case of non homogeneous measure
S. V. Kozyrev
A family of orthonormal bases of ultrametric wavelets in the space of quadratically integrable with respect to arbitrary measure functions on general (up to some topological restri…
Hyperelliptic addition law
Victor Buchstaber, Dmitry Leykin
We construct an explicit form of the addition law for hyperelliptic Abelian vector functions and . The functions and form a basis in the field of hyperelli…
On the refined 3-enumeration of alternating sign matrices
F. Colomo, A. G. Pronko
An explicit expression for the numbers describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Strog…