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Nonlinear algebra and Bogoliubov’s recursion

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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.

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Authors and Affiliations

  1. Institute for Theoretical and Experimental Physics, Moscow, Russia

    A. Yu. Morozov & M. N. Serbyn

  2. Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, Rome, Italy

    M. N. Serbyn

  3. Moscow Physical Technical Institute, Moscow, Russia

    M. N. Serbyn

  4. Landau Institute for Theoretical Physics, RAS, Moscow, Russia

    M. N. Serbyn

  5. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    M. N. Serbyn

Authors
  1. A. Yu. Morozov
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  2. M. N. Serbyn
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Correspondence to A. Yu. Morozov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 2, pp. 316–343, February, 2008.

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Morozov, A.Y., Serbyn, M.N. Nonlinear algebra and Bogoliubov’s recursion. Theor Math Phys 154, 270–293 (2008). https://doi.org/10.1007/s11232-008-0026-7

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  • DOI: https://doi.org/10.1007/s11232-008-0026-7

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