Geodesic
Nonlinear algebra and Bogoliubov's recursion
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 316-343

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: quantum field theory, renormalization, nonlinear algebra. 
@article{TMF_2008_154_2_a9,
     author = {A. Yu. Morozov and M. N. Serbin},
     title = {Nonlinear algebra and {Bogoliubov's} recursion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {316--343},
     publisher = {mathdoc},
     volume = {154},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a9/}
}
TY  - JOUR
AU  - A. Yu. Morozov
AU  - M. N. Serbin
TI  - Nonlinear algebra and Bogoliubov's recursion
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 316
EP  - 343
VL  - 154
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a9/
LA  - ru
ID  - TMF_2008_154_2_a9
ER  - 
%0 Journal Article
%A A. Yu. Morozov
%A M. N. Serbin
%T Nonlinear algebra and Bogoliubov's recursion
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 316-343
%V 154
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a9/
%G ru
%F TMF_2008_154_2_a9
A. Yu. Morozov; M. N. Serbin. Nonlinear algebra and Bogoliubov's recursion. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 316-343. http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a9/