On first return path systems

It is known that for a first return system of paths {Rx:x∈[0,1]}, the right path systems R+ ( the left path system R−) is right ( is left ) continuous and R satisfies the IIC property. In this paper we consider path systems that are continuous and satisfy IIC and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.

Aliasghar Alikhani-Koopaei "On first return path systems.," Real Analysis Exchange, Real Anal. Exchange 31(1), 271-284, (2005-2006)

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Work Title On first return path systems
Access
Open Access
Creators
  1. Aliasghar Alikhani-Koopaei
Keyword
  1. First-return
  2. Path systems
  3. Path derivatives
  4. Intersection conditions
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Real Analysis Exchange
Publication Date June 5, 2006
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Deposited January 22, 2024

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Version 1
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  • Created
  • Added 9-Alikhani-On_first_return_path_...-1.pdf
  • Added Creator Aliasghar Alikhani-Koopaei
  • Published
  • Updated Keyword, Publisher, Publisher Identifier (DOI), and 2 more Show Changes
    Keyword
    • First-return, Path systems, Path derivatives, Intersection conditions
    Publisher
    • Real Anal. Exchange
    • Real Analysis Exchange
    Publisher Identifier (DOI)
    • https://doi.org/10.14321/realanalexch.31.1.0271
    Related URLs
    • https://projecteuclid.org/journals/real-analysis-exchange/volume-31/issue-1/On-first-return-path-systems/rae/1149516814.full
    Publication Date
    • 2006-01-01
    • 2006-06-05
  • Updated