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Mikhail Shkolnikov
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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
242018
Tropical curves in sandpiles
N Kalinin, M Shkolnikov
Comptes Rendus. Mathématique 354 (2), 125-130, 2016
222016
A formula for the HOMFLY polynomial of rational links
S Duzhin, M Shkolnikov
Arnold Mathematical Journal 1 (4), 345-359, 2015
16*2015
Harmonic dynamics of the abelian sandpile
M Lang, M Shkolnikov
Proceedings of the National Academy of Sciences 116 (8), 2821-2830, 2019
152019
Tropical curves in sandpile models
N Kalinin, M Shkolnikov
arXiv preprint arXiv:1502.06284, 2015
152015
Introduction to tropical series and wave dynamic on them
N Kalinin, M Shkolnikov
arXiv preprint arXiv:1706.03062, 2017
142017
Sandpile solitons via smoothing of superharmonic functions
N Kalinin, M Shkolnikov
Communications in Mathematical Physics 378, 1649-1675, 2020
132020
Quantum groups as hidden symmetries of quantum impurities
E Yakaboylu, M Shkolnikov, M Lemeshko
Physical Review Letters 121 (25), 255302, 2018
112018
Tropical formulae for summation over a part of
N Kalinin, M Shkolnikov
European Journal of Mathematics 5, 909-928, 2019
42019
The Number π and a Summation by SL (2, Z)
N Kalinin, M Shkolnikov
Arnold Mathematical Journal, 1-7, 2017
4*2017
Bipartite knots
S Duzhin, M Shkolnikov
arXiv preprint arXiv:1105.1264, 2011
42011
Non‐commutative amoebas
G Mikhalkin, M Shkolnikov
Bulletin of the London Mathematical Society 54 (2), 335-368, 2022
32022
Sandpile monomorphisms and harmonic functions
M Lang, M Shkolnikov
arXiv 2019, 2019
32019
Tropical curves, convex domains, sandpiles and amoebas
M Shkolnikov
University of Geneva, 2017
32017
Sandpiles on the heptagonal tiling
N Kalinin, M Shkolnikov
Journal of Knot Theory and Its Ramifications 25 (12), 1642005, 2016
32016
Доказательство гипотезы Пшитыцкого о парных диаграммах
СВ Дужин, МС Школьников
РОССИЙСКАЯ АКАДЕМИЯ НАУК УРАЛЬСКОЕ ОТДЕЛЕНИЕ ИНСТИТУТ МАТЕМАТИКИ И МЕХАНИКИ, 175, 2011
22011
Relaxation in one-dimensional tropical sandpile
M Shkolnikov
Communications in Mathematics 31, 2023
12023
Wave fronts and caustics in the tropical plane
G Mikhalkin, M Shkolnikov
arXiv preprint arXiv:2310.17269, 2023
2023
Sandpile monomorphisms and limits
M Lang, M Shkolnikov
Comptes Rendus. Mathématique 360 (G4), 333-341, 2022
2022
Полином Кауфмана рациональных зацеплений
МС Школьников
2011
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