Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (1): 270-285.

• Original article • Previous Articles     Next Articles

Algebraic Degeneration of One-Dimension Non-Recurrent Diffusion Processes

Leilei Gan, Yifei Hao, Yingzhe Wang*()   

  1. School of Mathematical Sciences, Beijing Normal University, Key Laboratory of Mathematics and Complex Systems of Ministry of Education, Beijing 100875
  • Received:2025-01-21 Revised:2025-06-27 Online:2026-02-26 Published:2026-01-19
  • Contact: Yingzhe Wang E-mail:wangyz@bnu.edu.cn
  • Supported by:
    Fund for National Key R&D Program of China(2020YFA0712900)

Abstract:

Algebraic degeneration in $L^2$ sense is studied for non-recurrent diffusion process on a semi-line. The sufficient and necessary conditions are presented under two boundary conditions. The similar conclusions are also proved on the real line. The conclusions are applied to two examples, yielding precise results.

Key words: one-dimension diffusion process, non-recurrent, algebraic degeneration

CLC Number: 

  • O211.62
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