Publication: Probabilistic aspects of critical growth-fragmentation equations
Probabilistic aspects of critical growth-fragmentation equations
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Bertoin, J., & Watson, A. R. (2016). Probabilistic aspects of critical growth-fragmentation equations. Advances in Applied Probability, 48(A), 37–61. https://doi.org/10.1017/apr.2016.41
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The self-similar growth-fragmentation equation describes the evolution of a medium in which particles grow and divide as time proceeds, with the growth and splitting of each particle depending only upon its size. The critical case of the equation, in which the growth and division rates balance one another, was considered in Doumic and Escobedo (2015) for the homogeneous case where the rates do not depend on the particle size. Here, we study the general self-similar case, using a probabilistic approach based on Lévy processes and posit
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Bertoin, J., & Watson, A. R. (2016). Probabilistic aspects of critical growth-fragmentation equations. Advances in Applied Probability, 48(A), 37–61. https://doi.org/10.1017/apr.2016.41
