3 papers
math.NT2025
Friezes and continued fractions
Evgeny Smirnov
We explore basic properties of number friezes, due to Conway and Coxeter, and their relations to decompositions of rational numbers into continued fractions, Farey sequences, and t…
math.CO2024
Partial order on involutive permutations and double Schubert cells
Evgeny Smirnov
As shown by A. Melnikov, the orbits of a Borel subgroup acting by conjugation on upper-triangular matrices with square zero are indexed by involutions in the symmetric group. The i…
math.CO2023
Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes
Ekaterina Presnova, Evgeny Smirnov
We give a new combinatorial description for stable Grothendieck polynomials in terms of subdivisions of Gelfand-Zetlin polytopes. Moreover, these subdivisions also provide a descri…