Publications

You can find my publications at Google Scholar, arXiv and HAL.

Mathematical publications

The distribution of the deepest leaves in 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]
Growing binary trees (with Olivier Bodini and Antoine Genitrini), 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] [Code-1] [Code-2] [Code-3] [Code-4] [Code-5] [Code-6] [Code-7]

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)]