Nonlinear algebra and Bogoliubov's recursion

A. Morozov, M. Serbyn, Theoretical and Mathematical Physics 154 (2008) 270–293.


Journal Article | Published
Author
;
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
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
IST-REx-ID

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, 154(2), 270–293. https://doi.org/10.1007/s11232-008-0026-7
Morozov, Alexei, and Maksym Serbyn. “Nonlinear Algebra and Bogoliubov’s Recursion.” Theoretical and Mathematical Physics 154, no. 2 (2008): 270–93. 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, 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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