Sandpile solitons via smoothing of superharmonic functions
N. Kalinin, M. Shkolnikov, Communications in Mathematical Physics 378 (2020) 1649–1675.

Tropical formulae for summation over a part of SL(2,Z)
N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.

Harmonic dynamics of the Abelian sandpile
M. Lang, M. Shkolnikov, Proceedings of the National Academy of Sciences of the United States of America 116 (2019) 2821–2830.

Introduction to tropical series and wave dynamic on them
N. Kalinin, M. Shkolnikov, Discrete and Continuous Dynamical Systems- Series A 38 (2018) 2827–2849.

Quantum groups as hidden symmetries of quantum impurities
E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).

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, Proceedings of the National Academy of Sciences of the United States of America 115 (2018) 35–42.