17 citations · 41 across the 6 of their papers we have counts for
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3 papers · 1 filter
math.CO2021
Congruence for lattice path models with filter restrictions and long steps
Dmitry Solovyev
We derive a path counting formula for two-dimensional lattice path model with filter restrictions in the presence of long steps, source and target points of which are situated near…
math.NT2021★ 8 cited
On string functions and double-sum formulas
Eric T. Mortenson, Olga Postnova, Dmitry Solovyev
String functions are important building blocks of characters of integrable highest modules over affine Kac--Moody algebras. Kac and Peterson computed string functions for affine Li…
math.CO2021
Counting filter restricted paths in lattice
Olga Postnova, Dmitry Solovyev
We derive a path counting formula for two-dimensional lattice path model on a plane with filter restrictions. A filter is a line that restricts the path passing it to one of possib…