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) |
|---|---|
| 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 2001 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics