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math.AP2017★ 8 cited
Self-similar solutions of fragmentation equations revisited
Weronika Biedrzycka, Marta Tyran-Kaminska
We study the large time behaviour of the mass (size) of particles described by the fragmentation equation with homogeneous breakup kernel. We give necessary and sufficient conditio…
math.AP2008★ 1 cited
Dynamics and density evolution in piecewise deterministic growth processes
Michael C. Mackey, Marta Tyran-Kaminska
A new sufficient condition is proved for the existence of stochastic semigroups generated by the sum of two unbounded operators. It is applied to one-dimensional piecewise determin…