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Etore, P. and Martinez, M. (2013) Exact Simulation of One-Dimensional Stochastic Differential Equations Involving the Local Time at Zero of the Unknown Process. Monte Carlo Methods and Applications, 19, 41-71.

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.