Sandpile solitons via smoothing of superharmonic functions
N. Kalinin, M. Shkolnikov, Communications in Mathematical Physics 378 (2020) 1649–1675.
LibreCat: https://research-explorer.ista.ac.at/record/8325
DOI: 10.1007/s00220-020-03828-8
WoS: 000560620600001
arXiv: 1711.04285

Tropical formulae for summation over a part of SL(2,Z)
N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.
LibreCat: https://research-explorer.ista.ac.at/record/441
DOI: 10.1007/s40879-018-0218-0
arXiv: 1711.02089

Harmonic dynamics of the Abelian sandpile
M. Lang, M. Shkolnikov, Proceedings of the National Academy of Sciences 116 (2019) 2821–2830.
LibreCat: https://research-explorer.ista.ac.at/record/196
DOI: 10.1073/pnas.1812015116
WoS: 000459074400013
PMID:  30728300
arXiv: 1806.10823

Introduction to tropical series and wave dynamic on them
N. Kalinin, M. Shkolnikov, Discrete and Continuous Dynamical Systems- Series A 38 (2018) 2827–2849.
LibreCat: https://research-explorer.ista.ac.at/record/303
DOI: 10.3934/dcds.2018120
WoS: 000438818400007
arXiv: 1706.03062

Quantum groups as hidden symmetries of quantum impurities
E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).
LibreCat: https://research-explorer.ista.ac.at/record/5794
DOI: 10.1103/PhysRevLett.121.255302
WoS: 000454178600009
arXiv: 1809.00222

Self-organized criticality and pattern emergence through the lens of tropical geometry
N. Kalinin, A. Guzmán Sáenz, Y. Prieto, M. Shkolnikov, V. Kalinina, E. Lupercio, PNAS: Proceedings of the National Academy of Sciences of the United States of America 115 (2018) 35–42.
LibreCat: https://research-explorer.ista.ac.at/record/64
DOI: 10.1073/pnas.1805847115
WoS: 000442861600009
arXiv: 1806.09153