Mean First Passage Time of an Ornstein-Uhlenbeck Process

Code to calculate the mean first passage time of an Ornstein-Uhlenbeck process.

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This code determines the mean first passage time (MFPT) of an Ornstein-Uhlenbeck process from analytical solutions obtained from M.U. Thomas (1975), S. Sato (1977), and S. Sato & M. Ricciardi (1988) (all articles published in J. Appl. Prob.).

Note that this code yields a dimensionless MFPT (i.e. MFPT multiplied by the reciprocal of the relaxation time) and only applies to cases where either the initial position or absorbing barrier is zero.

Cite As

Daniel Charlebois (2026). Mean First Passage Time of an Ornstein-Uhlenbeck Process (https://se.mathworks.com/matlabcentral/fileexchange/30015-mean-first-passage-time-of-an-ornstein-uhlenbeck-process), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0