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Exponential decay for the fragmentation or cell-division equation
Exponential decay fragmentation cell-division equation
2015/7/14
We consider a classical integro-differential equation that arises in various applications as a model for cell-division or fragmentation. In biology, it describes the evolution of the density of cells ...
One-sided FKPP travelling waves in the context of homogenous fragmentation processes
FKPP equation travelling wave homogenous fragmentation process killed fragmentation product martingale spectrally negative Levy process
2012/4/23
In this paper we introduce the one-sided FKPP equation in the context of homogenous fragmentation processes. More specifically, the main result of the present paper is concerned with the existence and...
A one-dimensional coagulation-fragmentation process with a dynamical phase transition
one-dimensional coagulation-fragmentation process dynamical phase transition Probability
2011/9/13
Abstract: We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of $\{1,...,L\}$ into disjoint intervals. Each interval can either split or merge with one of i...
Branching Markov processes on fragmentation trees generated from the paintbox process
Branching Markov processes fragmentation trees the paintbox process Probability
2011/9/5
Abstract: A fragmentation of a set $A$ is a graph with vertices labeled by subsets of $A$ which obey a certain parent-child relationship. A random fragmentation tree is a probability distribution on t...
Analytical calculation of fragmentation transitions in adaptive networks
adaptive networks absorbing transition opinion formation
2010/12/28
In adaptive networks fragmentation transitions have been observed in which the network breaks
into disconnected components. We present an analytical approach for calculating the transition
point in ...