Anton Zabrodin

Publications⁶⁶

• Article I. Krichever, A. Zabrodin. Constrained Toda hierarchy and turning points of the Ruijsenaars–Schneider model // Letters in Mathematical Physics. 2022. Vol. 112. No. 2. Article 23. doi
• Article Takebe T., Zabrodin A. Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation // Letters in Mathematical Physics. 2022. Vol. 112. P. 1-27. doi (in press)
• Preprint Takebe T., Zabrodin A. Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation / Cornell University. Series arXiv "math". 2022. No. 2204.04406. doi (in press)
• Article Wiegmann P., A Zabrodin. Dyson gas on a curved contour // Journal of Physics A: Mathematical and Theoretical. 2022. Vol. 55. No. 16. Article 165202. doi
• Article Zabrodin A., Zotov A. Field analogue of the Ruijsenaars-Schneider model // Journal of High Energy Physics. 2022. No. 7. Article 23. doi
• Article Prokofev V., Zabrodin A. ELLIPTIC SOLUTIONS OF THE TODA LATTICE HIERARCHY AND THE ELLIPTIC RUIJSENAARS-SCHNEIDER MODEL // Theoretical and Mathematical Physics. 2021. Vol. 208. No. 2. P. 1093-1115. doi
• Article Prokofev V., Zabrodin A. Elliptic solutions to the KP hierarchy and elliptic Calogero–Moser model // Journal of Physics A: Mathematical and Theoretical. 2021. Vol. 54. No. 30. Article 305202. doi
• Article Krichever I. M., Zabrodin A. Kadomtsev–Petviashvili Turning Points and CKP Hierarchy // Communications in Mathematical Physics. 2021. Vol. 386. No. 3. P. 1643-1683. doi
• Article Akhmedova V., Takebe T., Zabrodin A. Löwner equations and reductions of dispersionless hierarchies // Journal of Geometry and Physics. 2021. Vol. 162. Article 104100. doi
• Article Руднева Д., Zabrodin A. Dynamics of poles of elliptic solutions to the BKP equation // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. No. 7. P. 075202. doi
• Article Rudneva D., Zabrodin A. Dynamics of poles of elliptic solutions to the BKP equation // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. Article 075202. doi
• Preprint Akhmedova V., Takebe T., Zabrodin A. Loewner equations and reductions of dispersionless hierarchies / Cornell University. Series arXiv "math". 2020. No. 2010.02277. (in press)
• Article Vasilyev M, Zabrodin A., Zotov A. Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. No. 49. Article 494002. doi
• Article Васильев М., Zabrodin A., Zotov A. Quantum-classical duality for Gaudin magnets with boundary // Nuclear Physics B - Proceedings Supplements. 2020. Vol. 952 . No. 114931. P. 1-20. doi
• Article Slavnov N. A., Zabrodin A., Zotov A. Scalar products of Bethe vectors in the 8-vertex model // Journal of High Energy Physics. 2020. No. 6. P. 123. doi
• Article Zabrodin A. Elliptic solutions to integrable nonlinear equations and many-body systems // Journal of Geometry and Physics. 2019. Vol. 146. No. 103506 doi
• Article Zabrodin A. Matrix modified Kadomtsev-Petviashvili hierarchy // Theoretical and Mathematical Physics. 2019. Vol. 199. No. 3. P. 771-783. doi
• Article Grekov A., A. Zabrodin, A. Zotov. Supersymmetric extension of qKZ-Ruijsenaars correspondence // Nuclear Physics B. 2019. Vol. 939. P. 174-190. doi
• Article Zabrodin A. Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy // Journal of Mathematical Physics. 2019. Vol. 60. P.  033502-1-033502-14. doi
• Article Zabrodin A., Prokofev V. Toda lattice hierarchy and trigonometric Ruijsenaars-Schneider hierarchy // Journal of Physics A: Mathematical and Theoretical. 2019. Vol. 52. Article 495202. doi
• Article A. Zabrodin, A. Zotov. Self-dual form of Ruijsenaars–Schneider models and ILW equation with discrete Laplacian // Nuclear Physics B. 2018. Vol. 927. P. 550-565. doi
• Article Pashkov V., Zabrodin A. Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2018. Vol. 51. No. 215201. P. 01-17. doi
• Article A.V.Zabrodin, Zotov A. V., Liashyk A., D.S.Rudneva. Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles // Theoretical and Mathematical Physics. 2017. Vol. 192. No. 2. P. 1141-1153. doi
• Article Zabrodin A., Zotov A. KZ-Calogero correspondence revisited // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 20. P. 1-12. doi
• Article Akhmedova V, Takebe T, Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 48. P. 1-23. doi
• Preprint Takebe T., Akhmedova V., Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy / Cornell University. Series arXiv "math-ph". 2017. No. 1707.01528.
• Article A. Zabrodin, Zotov A. QKZ-Ruijsenaars correspondence revisited // Nuclear Physics B. 2017. Vol. B922. P. 113-125. doi
• Article Забродин А. В., Зотов А., Ляшик А. Н., Руднева Д. С. Асимметричная шестивершинная модель и классическая система частиц Рейсенарса–Шнайдера // Теоретическая и математическая физика. 2017. Т. 192. С. 235-249. doi
• Article Akhmedova V., Zabrodin A. Dispersionless Pfaff-Toda hierarchy and elliptic L¨owner equation // Journal of Mathematical Physics. 2016. Vol. 57. P.  093507-1-093507-9. doi
• Article S.M.Natanzon, A.V.Zabrodin. Formal solutions to the KP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2016. Vol. 49. No. 14-22. doi
• Article Kharchev S., Zabrodin A. Theta vocabulary II. Multidimensional case // Journal of Geometry and Physics. 2016. Vol. 104. P. 112-120.
• Article Beketov M., Liashyk A., Zabrodin A., Zotov A. Trigonometric version of quantum–classical duality in integrable systems // Nuclear Physics B. 2016. Vol. 903. P. 150-163. doi
• Article Beketov M., Lyashik A., Zabrodin A., Zotov A. Trigonometric version of quantum–classical duality in integrable systems // Nuclear Physics B. 2016. Vol. 903. P. 150-163. doi
• Article Zabrodin A., Zotov A. Classical-Quantum Correspondence and Functional Relations for Painlevé Equations // Constructive Approximation. 2015. Vol. 41. No. 3. P. 385-423. doi
• Article Tsuboi Z., Zabrodin A., Zotov A. Supersymmetric quantum spin chains and classical integrable systems // Journal of High Energy Physics. 2015. Vol. 2015. No. 5, Article number 86 doi
• Article Natanzon S. M., Zabrodin A. Symmetric solutions to dispersionless 2D Toda hierarchy, Hurwitz numbers and conformal dynamics // International Mathematics Research Notices. 2015. Vol. 2015. No. 8. P. 2082-2110. doi
• Article Kharchev S., Zabrodin A. Theta vocabulary I // Journal of Geometry and Physics. 2015. Vol. 94. P. 19-31. doi
• Article Zabrodin A., Akhmedova V. Эллиптическая параметризация пфаффовых интегрируемых иерархий в пределе нулевой дисперсии // Theoretical and Mathematical Physics. 2015. Vol. 185. P. 410-422. doi
• Article Akhmedova V., Zabrodin A. Dispersionless DKP hierarchy and elliptic Lowner equation // Journal of Physics A: Mathematical and Theoretical. 2014. Vol. 47. P. 11 -13. doi
• Article Zabrodin A. Quantum Gaudin model and classical KP hierarchy // Journal of Physics: Conference Series. 2014. Vol. 482. No. 012047. P. 10. doi
• Article Gorsky A., Zabrodin A., Zotov A. Spectrum of quantum transfer matrices via classical many-body systems // Journal of High Energy Physics. 2014. No. 01. P. 070,28. doi
• Article Zabrodin A. The master T-operator for inhomogeneous XXX spin chain and mKP hierarchy // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2014. Vol. 10. No. 006. P. 18. doi
• Article Zabrodin A., Alexandrov A., Leurent S., Tsuboi Z. The master T-operator for the Gaudin model and KP hierarchy. // Nuclear Physics B. 2014. Vol. 883 . No.  . P. 173-223.
• Article Zabrodin A., Alexandrov A., Kazakov V., Leurent S., Tsuboi Z. Classical tau-function for quantum spin chains // Journal of High Energy Physics. 2013. Vol. 09. P. 064. doi
• Article Zabrodin A., Alexandrov A. Free fermions and tau-functions // Journal of Geometry and Physics. 2013. Vol. 67. P. 37-80. doi
• Article Zabrodin A. Hirota equation and Bethe ansatz in integrable models// Уравнение Хироты и анзац Бете в интегрируемых моделях / Пер. с рус.: T. Takebe. // (Mathematical Sciences. 2013. No. 596. P. 7-12.
• Article Zabrodin A. Laplacian growth in a channel and Hurwitz numbers // Journal of Physics A: Mathematical and Theoretical. 2013. Vol. 46. No. 18. P. 185203. doi
• Article Zabrodin A. Symmetric solutions of the dispersionless Toda hierarchy and associated conformal dynamics // Journal of Nonlinear Mathematical Physics. 2013. No. 1562. P. 203-222.
• Article Забродин А. В. Управляющий T-оператор для вершинных моделей с тригонометрическими // Теоретическая и математическая физика. 2013. Т. 174. № 1. С. 59-76.
• Article Zabrodin A., Zotov A. Quantum Painlevé-Calogero correspondence // Journal of Mathematical Physics. 2012. Vol. 53. No. 7. P. 073507-1-073507-19. doi
• Article Zabrodin A., Zotov A. Quantum Painlevé-Calogero correspondence for Painlevé VI // Journal of Mathematical Physics. 2012. Vol. 53. No. 7. P. 073508-1-073508-19. doi
• Preprint Zabrodin A. The master T-operator for vertex models with trigonometric R-matrices as classical tau-function / ИТЭФ. Series "ITEP-TH-17/12". 2012. No. 17.
• Article Zabrodin A. Intertwining operators for Sklyanin algebra and elliptic hypergeometric series // Journal of Geometry and Physics. 2011. Vol. 61. P. 1733-1754.
• Chapter Zabrodin A. Laplacian Growth, in: The Oxford Handbook on Random Matrix Theory. Oxford : Oxford University Press, 2011.
• Chapter Zabrodin A. Random matrices and Laplacian Growth, in: The Oxford Handbook of Random Matrix Theory. Oxford : Oxford University Press, 2011.
• Article Zabrodin A., Vasiliev D. Self-simlar solutions of Laplacian growth problem in the half plane // Theoretical and Mathematical Physics. 2011. Vol. 166. P. 28-43.
• Article Zabrodin A. Canonical and grand canonical partion functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization // Complex Analysis and Operator Theory. 2010. No. 4. P. 497-514.
• Article Zabrodin A. Growth of fat slits and dispersionless KP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2009. No. 42
• Article Zabrodin A., Mineev-Weinstein M., Abanov A. Multi-cut solutions of Laplacian growth // Physica D: Nonlinear Phenomena. 2009. No. 238. P. 1787-1796.
• Article Zabrodin A. Backlund transformations for difference Hirota equation and sypersymmetric Bethe ansatz // Theoretical and Mathematical Physics. 2008. No. 155. P. 567-584.
• Article Zabrodin A., Kazakov V., Sorin A. Supersymmetric Bethe ansatz nad Baxter equations from discrete Hirota dynamics // Nuclear Physics B. 2008. No. 790. P. 345-413.
• Article Zabrodin A. Crowth process related to the dispersionnless Lax equations // Physica D: Nonlinear Phenomena. 2007. No. 235. P. 101-108.
• Article Mineev-Weinstein M., Abanov A., Zabrodin A. Self-similarity in Laplacian growth // Physica D: Nonlinear Phenomena. 2007. No. 235. P. 62-71.
• Article Zabrodin A., Takebe T., Teo L. P. L\"owner equations and dispersionless hierarchies // Journal of Physics A: Mathematical and Theoretical. 2006. Vol. 39. P. 11479-11501.
• Article Zabrodin A., Wiegmann P. Large N expansion for the 2D Deson gas // Journal of Physics A: Mathematical and Theoretical. 2006. No. 39. P. 8933-8963.
• Article Забродин А. В. Matrix models and growth processes: from viscous flows to the quantum Hall effect // Springer Proceedings in Mathematics & Statistics. 2006. С. 261-318.