activity
19992009
most citedBogoliubov Renormalization Group and Symmetry of Solution in Mathematical Physics

69 citations · 96 across the 6 of their papers we have counts for

collaborators

6 papers

physics.hist-ph2009★ 1 cited

Remembering Nikolai Nikolaevich Bogoliubov

D. V. Shirkov

The recollection of souvenirs on great theoretical physicist, addressed to wide physical audience on the occasion of Bogoliubov centenary. Contains four parts: 1. Personal impressi…

math-ph2005

Renormgroup symmetry for solution functionals

D. V. Shirkov, V. F. Kovalev

The paper contains generalization of the renormgroup algorithm for boundary value problems of mathematical physics and related concept of the renormgroup symmetry, formulated earli…

hep-th2000★ 69 cited

Bogoliubov Renormalization Group and Symmetry of Solution in Mathematical Physics

Dmitrij V. Shirkov, Vladimir F. Kovalev

Evolution of the concept known in the theoretical physics as the Renormalization Group (RG) is presented. The corresponding symmetry, that has been first introduced in QFT in mid-f…

math-ph2000★ 19 cited

Functional self-similarity and renormalization group symmetry in mathematical physics

Vladimir F. Kovalev, Dmitrij V. Shirkov

The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during…

hep-th1999★ 4 cited

Evolution of the Bogoluibov Renormalization Group

D. V. Shirkov

We start with a simple introduction into the renormalization group (RG) in quantum field theory and give an overview of the renormalization group method. The third section is devot…

hep-th1999★ 3 cited

The Bogoluibov Renormalization Group in Theoretical and Mathematical Physics

D. V. Shirkov

This text follows the line of a talk on Ringberg symposium dedicated to Wolfhart Zimmermann 70th birthday. The historical overview (Part 1) partially overlaps with corresponding te…