Publications

Scientific publications

Preprints

• 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

Mathematical papers

• 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

Didactic papers

• 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)

Popular publications

Popular journal publications

• Aperiodic tile (in Russian) —
  Kvantik, 2024, N11, P. 2-7.
  Paper (in Russian)

• Robinson tilings (in Russian) —
  Kvantik, 2020, N10, P. 18-23.
  Paper (in Russian)

• Tiles and Heesch numbers (in Russian) —
  Kvantik, 2019, N10, P. 11-15.
  Paper (in Russian)

• Gauss debut (in Russian) —
  Potential, 2010, N6, P. 23-29.
  Paper (in Russian)

• Mathematics Teacher Étienne Bezout (in Russian) —
  Potential, 2009, N3, P. 15-19.

Popular articles for website elementy.ru

• Einstein problem solved (in Russian), 2023.04

• Socolar-Taylor tiling (with Mikhail Gruntov; in Russian), 2023.04

• Heesch's record polygon (in Russian), 2021.08

• Sierpinsky Carpet (in Russian), 2019.08

• Different dimensions (in Russian), 2019.08

• Colored cubes (in Russian), 2018.11

• Self-similar tilings (in Russian), 2018.10

• Robinson tilings (in Russian), 2018.09

• Rigid tilings (in Russian), 2018.04

• Strips of domino tiles (in Russian), 2017.08

• Figure surrounding aka Heesch problem (in Russian), 2016.04

• How many marbles? (in Russian), 2015.10

• Tilings with polyominoes (in Russian), 2015.04

• A monkey and coconuts (in Russian), 2014.06

• Platonic solids and honeycombs (in Russian), 2012.12

• The problem about letters (in Russian), 2012.11

• Circles on the squared paper (in Russian), 2012.02

• Cuttings and setting-ups (in Russian), 2011.12

• Regular polygons (in Russian), 2011.09

• Tilings (in Russian), 2011.03

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