Nonlinear algebra and Bogoliubov's recursion
Morozov A, Serbyn M. 2008. Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. 154(2), 270–293.
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Author
Morozov, Alexei Y;
Serbyn, MaksymISTA 
Abstract
We give many examples of applying Bogoliubov's forest formula to iterative solutions of various nonlinear equations. The same formula describes an extremely wide class of objects, from an ordinary quadratic equation to renormalization in quantum field theory.
Publishing Year
Date Published
2008-01-01
Journal Title
Theoretical and Mathematical Physics
Publisher
Elsevier
Acknowledgement
This work is supported in part by the Dynasty Foundation (M. N. S.), the
Russian Foundation for Basic Research (Grant No
s. 07-02-00878 and 07-02-00645), a joint grant (Grant
No. 06-01-92059-CE), the NWO (Project No. 047.011.2004.026), INTAS (Grant No. 05-1000008-7865), the
Program for Supporting Leading Scientific School
s (Grant No. NSh-8004.2006.2), and also by a project
(Project No. ANR-05-BLAN-0029-01, A. Yu. M.).
Volume
154
Issue
2
Page
270 - 293
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Cite this
Morozov A, Serbyn M. Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. 2008;154(2):270-293. doi:10.1007/s11232-008-0026-7
Morozov, A., & Serbyn, M. (2008). Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. Elsevier. https://doi.org/10.1007/s11232-008-0026-7
Morozov, Alexei, and Maksym Serbyn. “Nonlinear Algebra and Bogoliubov’s Recursion.” Theoretical and Mathematical Physics. Elsevier, 2008. https://doi.org/10.1007/s11232-008-0026-7.
A. Morozov and M. Serbyn, “Nonlinear algebra and Bogoliubov’s recursion,” Theoretical and Mathematical Physics, vol. 154, no. 2. Elsevier, pp. 270–293, 2008.
Morozov A, Serbyn M. 2008. Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. 154(2), 270–293.
Morozov, Alexei, and Maksym Serbyn. “Nonlinear Algebra and Bogoliubov’s Recursion.” Theoretical and Mathematical Physics, vol. 154, no. 2, Elsevier, 2008, pp. 270–93, doi:10.1007/s11232-008-0026-7.
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