### Abstract

A relation between the shift in the first-passage-time exponent and the decay rate of the probability of N velocity zero crossings for the nth random walk is presented. By slicing time in terms of velocity zero crossings, higher-order random walks are characterized in terms of a one-dimensional Lévy process.

Original language | English (US) |
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Pages (from-to) | 016120/1-016120/10 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 64 |

Issue number | 1 II |

State | Published - Jul 1 2001 |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

## Fingerprint Dive into the research topics of 'First-passage-time exponent for higher-order random walks: Using Lévy flights'. Together they form a unique fingerprint.

## Cite this

Schwarz, J. M., & Maimon, R. (2001). First-passage-time exponent for higher-order random walks: Using Lévy flights.

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,*64*(1 II), 016120/1-016120/10.