Yuri M. Burman

Publications³⁰

• Article Yurii Burman, Kulishov Valeriy. Lie elements and the Matrix-tree theorem // Moscow Mathematical Journal. 2023. Vol. 23. No. 1. P. 47-58. doi
• Preprint Burman Y. M., Fesler Raphaël. RIBBON DECOMPOSITION AND TWISTED HURWITZ NUMBERS / Cornell University. Series math "arxiv.org". 2022. doi (in press)
• Article Burman Y. M., Froberg R., Shapiro B. Algebraic relations between harmonic and anti-harmonic moments of plane polygons. // International Mathematics Research Notices. 2021. No. 14. P. 11140-11168. doi
• Article Burman Y. M., Froeberg R., Shapiro B. Algebraic relations between harmonic and anti-harmonic moments of plane polygons // International Mathematics Research Notices. 2020. P. 1-29. doi
• Article Burman Y. M. Higher matrix-tree theorems and Bernardi polynomial // Journal of Algebraic Combinatorics. 2019. Vol. 50. No. 4. P. 427-446. doi
• Article Shapiro B., Yurii Burman. On Hurwitz--Severi numbers // Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2019. Vol. XIX. No. 1. P. 155-167. doi
• Preprint Yurii Burman, Shapiro B. On Hurwitz--Severi numbers / Cornell University. Series math "arxiv.org". 2016. No. 06935.
• Preprint Yurii M. Burman. Higher determinants and the matrix-tree theorem / Cornell University. Series math "arxiv.org". 2015. No. 1508.02245.
• Article Yurii Burman, Ploskonosov A., Trofimova A. Matrix-tree theorems and discrete path integration // Linear Algebra and its Applications. 2015. No. 466C. P. 64-82. doi
• Article Yu. Burman, Serge Lvovski. On projections of smooth and nodal plane curves // Moscow Mathematical Journal. 2015. Vol. 15. No. 1. P. 31-48.
• Preprint Burman Y. M. Lie elements in the group algebra / Cornell University. Series math "arxiv.org". 2013. No. 1309.4477.
• Preprint Burman Y. M., Lvovsky S. On projections of smooth and nodal plane curves / Cornell University. Series math "arxiv.org". 2013. No. 1904.
• Preprint Burman Y. M. Operators of rank 1, discrete path integration and graph Laplacians / Cornell University. Series math "arxiv.org". 2012. No. arXiv:1205.1123.
• Preprint Burman Y. M., Ploskonosov A., Trofimova A. Higher matrix-tree theorems / Cornell University. Series math "arxiv.org". 2011. No. 1109.6625.
• Article Burman Y. M., Polyak M. Whitney's formulas for curves on surfaces // Geometriae Dedicata. 2011. Vol. 151. No. 1. P. 97-106. doi
• Article Burman Y. M., Zvonkine D. Cycle factorizations and 1-faced graph embeddings // European Journal of Combinatorics. 2010. Vol. 31. No. 1. P. 129-144. doi
• Article Burman Y. M., Berenstein A. Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras // Transactions of the American Mathematical Society. 2010. Vol. 362. No. 1. P. 229-260. doi
• Article Burman Y. M., Berenstein A. Dunkl Operators and Canonical Invariants of Reflection Groups // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2009. Vol. 5. No. 57. P. 1-18. doi
• Book Zvonkine D., Бурман Ю. М. Физика (примеры). М. : Academia, 2008.
• Article Burman Y. M., Shapiro B. Around matrix-tree theorem // Mathematical Research Letters. 2003. Vol. 13. No. 5. P. 761.
• Article Burman Y. M., Shapiro M. Coding parking functions by pairs of permutations // Electronic Journal of Combinatorics. 2003. Vol. 10. No. 1
• Article Поляк М., Burman Y. M. Geometry of Whitney-Type Formulas // Moscow Mathematical Journal. 2003. Vol. 3. No. 3
• Article Burman Y. M. Triangulation of surfaces with boundary and the homotopy principle for functions without critical points // Annals of Global Analysis and Geometry. 1999. Vol. 17. No. 3
• Book Фейгин Б. Л., Бурман Ю. М. Бесконечномерные алгебры Ли−1: полубесконечные формы, алгебра Вирасоро и вертексные операторы. М. : МЦНМО, 1997.
• Article Burman Y. M., Балинский А. Quadratic Poisson brackets and Drinfeld theory for associative algebras // Letters in Mathematical Physics. 1996. Vol. 38. No. 1
• Article Соловьев С., Burman Y. M., Бобылев Н. Error bounds for Galerkin procedures // Nonlinear Analysis. 1995. Vol. 24. No. 10. P. 1515.
• Article Burman Y. M. Morse theory for functions of two variables without critical points // Functional Differential Equations. 1995. Vol. 3. No. 1-2. P. 31.
• Book Burman Y. M., Бобылев Н., Коровин С. Approximation procedures in nonlinear oscillation theory. Berlin, NY : De Gruyter, 1994.
• Article Бобылев Н., Burman Y. M. Morse lemmas for multi-dimensional variational problems // Nonlinear Analysis. 1992. Vol. 18. No. 3. P. 595.
• Article Бобылев Н., Бурман Ю. М. Леммы Морса для функционалов вариационного исчисления // Функциональный анализ и его приложения. 1991. Т. 25. № 3. С. 1-11.