{"publication_status":"published","status":"public","title":"Nonlinear algebra and Bogoliubov's recursion","volume":154,"intvolume":" 154","date_updated":"2021-01-12T08:22:17Z","abstract":[{"lang":"eng","text":"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."}],"publication":"Theoretical and Mathematical Physics","quality_controlled":0,"publisher":"Elsevier","publist_id":"6437","day":"01","oa":1,"_id":"965","citation":{"ama":"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","ieee":"A. Morozov and M. Serbyn, “Nonlinear algebra and Bogoliubov’s recursion,” *Theoretical and Mathematical Physics*, vol. 154, no. 2. Elsevier, pp. 270–293, 2008.","mla":"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.","apa":"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","chicago":"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.","ista":"Morozov A, Serbyn M. 2008. Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. 154(2), 270–293.","short":"A. Morozov, M. Serbyn, Theoretical and Mathematical Physics 154 (2008) 270–293."},"month":"01","issue":"2","doi":"10.1007/s11232-008-0026-7","year":"2008","page":"270 - 293","date_created":"2018-12-11T11:49:26Z","author":[{"full_name":"Morozov, Alexei Y","last_name":"Morozov","first_name":"Alexei"},{"full_name":"Maksym Serbyn","orcid":"0000-0002-2399-5827","first_name":"Maksym","last_name":"Serbyn","id":"47809E7E-F248-11E8-B48F-1D18A9856A87"}],"acknowledgement":"This work is supported in part by the Dynasty Foundation (M. N. S.), the\nRussian Foundation for Basic Research (Grant No\ns. 07-02-00878 and 07-02-00645), a joint grant (Grant\nNo. 06-01-92059-CE), the NWO (Project No. 047.011.2004.026), INTAS (Grant No. 05-1000008-7865), the\nProgram for Supporting Leading Scientific School\ns (Grant No. NSh-8004.2006.2), and also by a project\n(Project No. ANR-05-BLAN-0029-01, A. Yu. M.).","type":"journal_article","date_published":"2008-01-01T00:00:00Z","extern":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/hep-th/0703258"}]}