Self-organized criticality and pattern emergence through the lens of tropical geometry N Kalinin, A Guzmán-Sáenz, Y Prieto, M Shkolnikov, V Kalinina, ... Proceedings of the National Academy of Sciences 115 (35), E8135-E8142, 2018 | 30 | 2018 |
Tropical curves in sandpiles N Kalinin, M Shkolnikov Comptes Rendus. Mathématique 354 (2), 125-130, 2016 | 24 | 2016 |
Harmonic dynamics of the abelian sandpile M Lang, M Shkolnikov Proceedings of the National Academy of Sciences 116 (8), 2821-2830, 2019 | 19 | 2019 |
A formula for the HOMFLY polynomial of rational links S Duzhin, M Shkolnikov Arnold Mathematical Journal 1 (4), 345-359, 2015 | 17* | 2015 |
Introduction to tropical series and wave dynamic on them N Kalinin, M Shkolnikov arXiv preprint arXiv:1706.03062, 2017 | 15 | 2017 |
Tropical curves in sandpile models N Kalinin, M Shkolnikov arXiv preprint arXiv:1502.06284, 2015 | 15 | 2015 |
Sandpile solitons via smoothing of superharmonic functions N Kalinin, M Shkolnikov Communications in Mathematical Physics 378, 1649-1675, 2020 | 14 | 2020 |
Quantum groups as hidden symmetries of quantum impurities E Yakaboylu, M Shkolnikov, M Lemeshko Physical Review Letters 121 (25), 255302, 2018 | 10 | 2018 |
Tropical formulae for summation over a part of N Kalinin, M Shkolnikov European Journal of Mathematics 5, 909-928, 2019 | 7 | 2019 |
The Number π and a Summation by SL (2, Z) N Kalinin, M Shkolnikov Arnold Mathematical Journal, 1-7, 2017 | 6* | 2017 |
Bipartite knots S Duzhin, M Shkolnikov arXiv preprint arXiv:1105.1264, 2011 | 6 | 2011 |
Non‐commutative amoebas G Mikhalkin, M Shkolnikov Bulletin of the London Mathematical Society 54 (2), 335-368, 2022 | 4 | 2022 |
Sandpiles on the heptagonal tiling N Kalinin, M Shkolnikov Journal of Knot Theory and Its Ramifications 25 (12), 1642005, 2016 | 4 | 2016 |
Sandpile monomorphisms and harmonic functions M Lang, M Shkolnikov arXiv 2019, 2019 | 3 | 2019 |
Tropical curves, convex domains, sandpiles and amoebas M Shkolnikov University of Geneva, 2017 | 3 | 2017 |
Wave fronts and caustics in the tropical plane G Mikhalkin, M Shkolnikov arXiv preprint arXiv:2310.17269, 2023 | 2 | 2023 |
Relaxation in one-dimensional tropical sandpile M Shkolnikov Communications in Mathematics 31, 2023 | 2 | 2023 |
Доказательство гипотезы Пшитыцкого о парных диаграммах СВ Дужин, МС Школьников РОССИЙСКАЯ АКАДЕМИЯ НАУК УРАЛЬСКОЕ ОТДЕЛЕНИЕ ИНСТИТУТ МАТЕМАТИКИ И МЕХАНИКИ, 175, 2011 | 2 | 2011 |
Introduction to PSL2 Phase Tropicalization M Shkolnikov, P Petrov Proceedings of the Bulgarian Academy of Sciences 77 (10), 1425–1432-1425–1432, 2024 | | 2024 |
Sandpile monomorphisms and limits M Lang, M Shkolnikov Comptes Rendus. Mathématique 360 (G4), 333-341, 2022 | | 2022 |