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Efimenko, S.V. and Portenko, M.I. (1989) Sojourn Time Type Functionals of a Process Obtained by Pasting Together Two Brownian Motion Processes. Ukrainian Mathematical Journal, 41, 25-29.
https://doi.org/10.1007/BF01060642

has been cited by the following article:

• TITLE: The Arc-Sine Laws for the Skew Brownian Motion and Their Interpretation

  AUTHORS: Ivan H. Krykun

  KEYWORDS: Skew Brownian Motion, Local Time, Arc-Sine Law

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.2, February 8, 2018

  ABSTRACT: We consider the skew Brownian motion as a solution of some stochastic differential equation. We prove for the skew Brownian motion the analogues of the arc-sine laws for Wiener process. Unlike of existing results, we are forced to consider a stochastic differential equation with discontinuous diffusion coefficient. Possible interpretations of obtained results are suggested.