Publications

Mathematical publications

Growing binary trees (with Olivier Bodini and Antoine Genitrini) — in preparation.
Brick wall excursions (with Sergey Kirgizov and Michael Wallner) — in preparation.
A bijection between intervals in the pyramid lattice and colored Dyck paths (with Jean-Luc Baril, Enrica Duchi, Sergey Kirgizov and Mehdi Naima) — in preparation.
Clusters of consecutive patterns in permutations and matchings (with Sergey Kirgizov) — in preparation.
Anisotropic watermelons on the half-plane (with Alexander Povolotsky) — in preparation.

Asymptotic probability of irreducibles III: Anti-SEQ (with Thierry Monteil), 2026.
Preprint
Asymptotic probability of irreducibles II: sequence (with Thierry Monteil), 2025.
Preprint Code-1 Code-2 Code-3 Code-4
Asymptotic probability for connectedness (with Thierry Monteil), 2024.
Preprint
Asymptotics for graphically divergent series: dense digraphs and 2-SAT formulae (with Sergey Dovgal), 2023.
Preprint

Asymptotics of self-overlapping permutations (with Sergey Kirgizov) —
Discrete Mathematics, Vol. 348, Issue 5, May 2025, 114400 (2025).
Paper Preprint
Endhered patterns in matchings and RNA (with Célia Biane, Greg Hampikian and Sergey Kirgizov).
Journal of Computational Biology, Vol. 32, N1, P. 28-46 (2025).
Paper Preprint
Watermelons on the half-plane (with Alexander Povolotsky) —
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2023, January 2023, 013101 (2023).
Paper Preprint
Decompositions of functions defined on finite sets in R^d (with Ivan Reshetnikov) —
Journal of Knot Theory and Ramifications, Vol. 31, N2, 2250011 (2022).
Paper Preprint
Asymptotics for connected graphs and irreducible tournaments (with Thierry Monteil) —
Research Perspectives CRM Barcelona, Extended Abstracts EuroComb 2021, Vol. 14, P. 823-828 (2021).
Paper Preprint

About Multifoliate Regular Parquets on the Plane (in Russian) —
Yaroslavl Pedagogical Bulletin, 2013, N3, T.3 (Natural sciences), P. 75-79.
Paper (in Russian)
The Selected Chapters of Discrete Geometry in the Optional Mathematical lessons in Specialized Schools (in Russian) —
Bulletin of Kostroma State University (KSU), 2012, T18, N3, P. 134-137.
Paper (in Russian)
Multiple Regular Tilings (in Russian) —
Mathematical Education, 2012, N1 (61), P. 23-29.
Paper (in Russian)
Semiregular Polygons on Regular Parquets (in Russian) —
Yaroslavl Pedagogical Bulletin, 2011, N3, T.3 (Natural sciences), P. 15-18.
Paper (in Russian)
Equiangular Polygons on Regular Tilings (in Russian) —
Mathematical Education, 2011, N2 (58), P. 39-63.
Paper (in Russian)
The Selected Chapters of Discrete Geometry in the Course of Mathematics of Specialized Schools (in Russian) —
Yaroslavl Pedagogical Bulletin, 2010, N4, T.3 (Natural sciences), P. 12-17.
Paper (in Russian)