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Zapiski Nauchnykh Seminarov POMI, 2024, Volume 532, Pages 80–90 (Mi znsl7452)  
Random ordered lattice paths generated by operators satisfying the Cuntz algebra

N. M. Bogoliubov

St.Petersburg Department of V. A. Steklov Mathematical Institute, RAS Fontanka 27, St.-Petersburg 191023, Russia
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Abstract: The technique based on operators satisfying the Cuntz algebra is used for the enumeration of Dyck, Motzkin and Łukasiewicz lattice paths. It is shown that the weighted paths may be considered as the generators of master fields of the quantum field theory.
Key words and phrases: directed lattice paths, generating functions, master field, Cuntz algebra.
Received: 07.10.2024
Document Type: Article
UDC: 517
Language: English
Citation: N. M. Bogoliubov, “Random ordered lattice paths generated by operators satisfying the Cuntz algebra”, Questions of quantum field theory and statistical physics. Part 30, Zap. Nauchn. Sem. POMI, 532, POMI, St. Petersburg, 2024, 80–90
Citation in format AMSBIB
\Bibitem{Bog24}
\by N.~M.~Bogoliubov
\paper Random ordered lattice paths generated by operators satisfying the Cuntz algebra
\inbook Questions of quantum field theory and statistical physics. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2024
\vol 532
\pages 80--90
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7452}
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