Mikhail Shkolnikov
Hausel Group
6 Publications
2020 | Published | Journal Article | IST-REx-ID: 8325 |

Sandpile solitons via smoothing of superharmonic functions
N. Kalinin, M. Shkolnikov, Communications in Mathematical Physics 378 (2020) 1649–1675.
[Preprint]
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N. Kalinin, M. Shkolnikov, Communications in Mathematical Physics 378 (2020) 1649–1675.
2019 | Published | Journal Article | IST-REx-ID: 441 |

Tropical formulae for summation over a part of SL(2,Z)
N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.
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N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.
2019 | Published | Journal Article | IST-REx-ID: 196 |

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.
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M. Lang, M. Shkolnikov, Proceedings of the National Academy of Sciences of the United States of America 116 (2019) 2821–2830.
2018 | Published | Journal Article | IST-REx-ID: 303 |

Introduction to tropical series and wave dynamic on them
N. Kalinin, M. Shkolnikov, Discrete and Continuous Dynamical Systems- Series A 38 (2018) 2827–2849.
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N. Kalinin, M. Shkolnikov, Discrete and Continuous Dynamical Systems- Series A 38 (2018) 2827–2849.
2018 | Published | Journal Article | IST-REx-ID: 5794 |

Quantum groups as hidden symmetries of quantum impurities
E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).
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E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).
2018 | Published | Journal Article | IST-REx-ID: 64 |

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) E8135–E8142.
[Preprint]
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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) E8135–E8142.
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6 Publications
2020 | Published | Journal Article | IST-REx-ID: 8325 |

Sandpile solitons via smoothing of superharmonic functions
N. Kalinin, M. Shkolnikov, Communications in Mathematical Physics 378 (2020) 1649–1675.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
N. Kalinin, M. Shkolnikov, Communications in Mathematical Physics 378 (2020) 1649–1675.
2019 | Published | Journal Article | IST-REx-ID: 441 |

Tropical formulae for summation over a part of SL(2,Z)
N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.
2019 | Published | Journal Article | IST-REx-ID: 196 |

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.
[Published Version]
View
| Files available
| DOI
| Download Published Version (ext.)
| WoS
| PubMed | Europe PMC
| arXiv
M. Lang, M. Shkolnikov, Proceedings of the National Academy of Sciences of the United States of America 116 (2019) 2821–2830.
2018 | Published | Journal Article | IST-REx-ID: 303 |

Introduction to tropical series and wave dynamic on them
N. Kalinin, M. Shkolnikov, Discrete and Continuous Dynamical Systems- Series A 38 (2018) 2827–2849.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
| arXiv
N. Kalinin, M. Shkolnikov, Discrete and Continuous Dynamical Systems- Series A 38 (2018) 2827–2849.
2018 | Published | Journal Article | IST-REx-ID: 5794 |

Quantum groups as hidden symmetries of quantum impurities
E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).
2018 | Published | Journal Article | IST-REx-ID: 64 |

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) E8135–E8142.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
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) E8135–E8142.