### 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) |
---|---|

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

Volume | 64 |

Issue number | 1 II |

State | Published - Jul 2001 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

**First-passage-time exponent for higher-order random walks : Using Lévy flights.** / Schwarz, Jennifer M; Maimon, R.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 64, no. 1 II.

}

TY - JOUR

T1 - First-passage-time exponent for higher-order random walks

T2 - Using Lévy flights

AU - Schwarz, Jennifer M

AU - Maimon, R.

PY - 2001/7

Y1 - 2001/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0035397190&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035397190&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035397190

VL - 64

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 1 II

ER -