Journal article
Multifractal Spectra of Fragmentation Processes
- Abstract:
-
Let (S(t), t ≥ 0) be a homogeneous fragmentation of ]0, 1[ with no loss of mass. For x ∈ ]0, 1[, we say that the fragmentation speed of x is v if and only if, as time passes, the size of the fragment that contains x decays exponentially with rate v. We show that there is vtyp > 0 such that almost every point x ∈ ]0, 1[ has speed vtyp. Nonetheless, for v in a certain range, the random set script G signv, of points of speed v, is dense in ]0, 1[, and we compute explicitly the spectrum v → Di...
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Bibliographic Details
- Journal:
- Journal of Statistical Physics
- Volume:
- 113
- Issue:
- 3-4
- Pages:
- 411-430
- Publication date:
- 2003-11-01
- DOI:
- ISSN:
-
0022-4715
- Source identifiers:
-
487696
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:487696
- UUID:
-
uuid:2b5a160e-18fa-4048-b049-2c6178e43f83
- Local pid:
- pubs:487696
- Deposit date:
- 2014-11-11
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- Copyright date:
- 2003
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