Krapivsky, P. L., Ben-Naim, E., Grosse, I. R. (February 2004) Stable distributions in stochastic fragmentation. Journal of Physics a-Mathematical and General, 37 (8). pp. 2863-2880. ISSN 0305-4470
Abstract
We investigate a class of stochastic fragmentation processes involving stable and unstable fragments. We solve analytically for the fragment length density and find that a generic algebraic divergence characterizes its small-size tail. Furthermore, the entire range of acceptable values of decay exponent consistent with length conservation can be realized. We show that the stochastic fragmentation process is non-self-averaging as moments exhibit significant sample-to-sample fluctuations. Additionally, we find that the distributions of the moments and of extremal characteristics possess an infinite set of progressively weaker singularities.
| Item Type: | Paper |
|---|---|
| Uncontrolled Keywords: | ENTROPIC SEGMENTATION METHOD entropic segmentation method RANDOM MAP MODEL random map model DNA-SEQUENCES DNA sequences STATISTICAL PROPERTIES statistical properties DISORDERED-SYSTEMS disordered systems KAUFFMAN MODEL kauffman model GENOME genome ADSORPTION adsorption OBJECTS objects |
| Subjects: | bioinformatics > genomics and proteomics > annotation > map annotation bioinformatics > quantitative biology bioinformatics > computational biology |
| CSHL Authors: | |
| Depositing User: | CSHL Librarian |
| Date: | February 2004 |
| Date Deposited: | 31 Jan 2012 17:02 |
| Last Modified: | 31 Jan 2012 17:02 |
| URI: | https://repository.cshl.edu/id/eprint/22417 |
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