The asymptotic behavior of fragmentation processes

By Jean Bertoin. 2003

107 citations recorded by the source corpus.

Subfields: Condensed Matter Physics, Mathematical Physics, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/93d7ccacf2faa6fdd784f25d61159bb0192c4aca

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In Condensed Matter Physics

In Mathematical Physics

In Water Science and Technology

Citations in the corpus

Multifractal spectra and precise rates of decay in homogeneous fragmentations (2006, background): “Fragmentation appears in a wide range of phenomena in science and technology, such as degradation of polymers, colloids, droplets, rocks,...”
Scaling limits of Markov branching trees and Galton-Watson trees conditioned on the number of vertices with out-degree in a given set (2011, background): “What these assumptions tell us is that there is no continuous loss of mass due to erosion (c = 0), mass it not lost during macroscopic fragmentations (ν( ∑ i si < 1) = 0), and the fragmentation eventually becomes the partition into singletons (Proposition 2 in [2], the rate of convergence is give in”
Combinatorial Stochastic Processes (2006, background): “When the index α is non-negative, Bertoin [47] gave strong limit theorems for the behavior at large times of self-similar fragmentation processes.”
Spectral analysis of semigroups and growth-fragmentation equations (2013, methodology): “[12], we call that model the “selfsimilar fragmentation equation”.”
Exponential functionals of Levy processes (2005, unknown): “2004/04/05 file: expfunc.tex date: December 13, 2004 of self-similarity; see [9, 12, 17, 30].”
Self-similar fragmentations derived from the stable tree II: splitting at nodes (2004, methodology): “By a direct application of Theorem 3 in [10], one gets the large t asymptotic behavior for F+.”
Discretization Methods for Homogeneous Fragmentations (2004, background): “Moreover, the proof of Theorem 2 in [6] shows that for every p > p, there exists some γ > 1 such that for every t ≥ 0 E (( ∞ ∑”