Separating solution of a quadratic recurrent equation

Y. G. Sinai, I. Vinogradov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper we consider the recurrent equation (Formula Presented) for p ≥ 1 with f ∈ C [0, 1] and Λ1 =y >0 given. We give conditions on f that guarantee the existence of y(0) such that the sequence Λp with Λ1 = y(0) tends to a finite positive limit as p→∞.

Original languageEnglish (US)
Pages (from-to)603-613
Number of pages11
JournalJournal of Statistical Physics
Issue number4
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Mellin transform
  • Quadratic recurrent equation
  • Separating solution


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