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

N. Kalinin and M. Shkolnikov, “Sandpile solitons via smoothing of superharmonic functions,” Communications in Mathematical Physics, vol. 378, no. 9. Springer Nature, pp. 1649–1675, 2020.
[Preprint]
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| arXiv
2019 | Published | Journal Article | IST-REx-ID: 441 |

N. Kalinin and M. Shkolnikov, “Tropical formulae for summation over a part of SL(2,Z),” European Journal of Mathematics, vol. 5, no. 3. Springer Nature, pp. 909–928, 2019.
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2019 | Published | Journal Article | IST-REx-ID: 196 |

M. Lang and M. Shkolnikov, “Harmonic dynamics of the Abelian sandpile,” Proceedings of the National Academy of Sciences, vol. 116, no. 8. National Academy of Sciences, pp. 2821–2830, 2019.
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2018 | Published | Journal Article | IST-REx-ID: 303 |

N. Kalinin and M. Shkolnikov, “Introduction to tropical series and wave dynamic on them,” Discrete and Continuous Dynamical Systems- Series A, vol. 38, no. 6. AIMS, pp. 2827–2849, 2018.
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2018 | Published | Journal Article | IST-REx-ID: 5794 |

E. Yakaboylu, M. Shkolnikov, and M. Lemeshko, “Quantum groups as hidden symmetries of quantum impurities,” Physical Review Letters, vol. 121, no. 25. American Physical Society, 2018.
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2018 | Published | Journal Article | IST-REx-ID: 64 |

N. Kalinin, A. Guzmán Sáenz, Y. Prieto, M. Shkolnikov, V. Kalinina, and E. Lupercio, “Self-organized criticality and pattern emergence through the lens of tropical geometry,” PNAS: Proceedings of the National Academy of Sciences of the United States of America, vol. 115, no. 35. National Academy of Sciences, pp. E8135–E8142, 2018.
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Grants
6 Publications
2020 | Published | Journal Article | IST-REx-ID: 8325 |

N. Kalinin and M. Shkolnikov, “Sandpile solitons via smoothing of superharmonic functions,” Communications in Mathematical Physics, vol. 378, no. 9. Springer Nature, pp. 1649–1675, 2020.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 441 |

N. Kalinin and M. Shkolnikov, “Tropical formulae for summation over a part of SL(2,Z),” European Journal of Mathematics, vol. 5, no. 3. Springer Nature, pp. 909–928, 2019.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 196 |

M. Lang and M. Shkolnikov, “Harmonic dynamics of the Abelian sandpile,” Proceedings of the National Academy of Sciences, vol. 116, no. 8. National Academy of Sciences, pp. 2821–2830, 2019.
[Published Version]
View
| Files available
| DOI
| Download Published Version (ext.)
| WoS
| PubMed | Europe PMC
| arXiv
2018 | Published | Journal Article | IST-REx-ID: 303 |

N. Kalinin and M. Shkolnikov, “Introduction to tropical series and wave dynamic on them,” Discrete and Continuous Dynamical Systems- Series A, vol. 38, no. 6. AIMS, pp. 2827–2849, 2018.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
| arXiv
2018 | Published | Journal Article | IST-REx-ID: 5794 |

E. Yakaboylu, M. Shkolnikov, and M. Lemeshko, “Quantum groups as hidden symmetries of quantum impurities,” Physical Review Letters, vol. 121, no. 25. American Physical Society, 2018.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2018 | Published | Journal Article | IST-REx-ID: 64 |

N. Kalinin, A. Guzmán Sáenz, Y. Prieto, M. Shkolnikov, V. Kalinina, and E. Lupercio, “Self-organized criticality and pattern emergence through the lens of tropical geometry,” PNAS: Proceedings of the National Academy of Sciences of the United States of America, vol. 115, no. 35. National Academy of Sciences, pp. E8135–E8142, 2018.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv