On the Renormalization Group Method for the Problem of Random Walk without Self‐Intersections | Zendy

Alkhimov V. I. | Zendy

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On the Renormalization Group Method for the Problem of Random Walk without Self‐Intersections

Author(s) -

Alkhimov V. I.

Publication year - 1984

Publication title -

annalen der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.009

H-Index - 68

eISSN - 1521-3889

pISSN - 0003-3804

DOI - 10.1002/andp.19844960310

Subject(s) - renormalization group , random walk , heterogeneous random walk in one dimension , euclidean space , statistical physics , space (punctuation) , physics , mathematics , euclidean geometry , probability density function , group (periodic table) , mathematical physics , mathematical analysis , statistics , quantum mechanics , geometry , computer science , operating system

Random walk without self‐intersections for a particle in the Euclidean n ‐dimensional space is investigated. Renormalization group equations for the probability density of the end‐to‐end distance of a particle trajectory are derived. The asymptotics for this probability density are defined for 4 ‐ n ≪ 1.

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