Substochastic semigroups and densities of piecewise deterministic Markov processes
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Publication:1029108
DOI10.1016/j.jmaa.2009.04.033zbMath1179.60050arXiv0804.4889OpenAlexW2002431466MaRDI QIDQ1029108
Publication date: 9 July 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.4889
piecewise deterministic Markov processstochastic semigroupfragmentation modelsstrongly stable semigroup
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Cites Work
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- Denumerable Markov processes and the associated contraction semigroups on l
- A perturbation theorem for positive contraction semigroups on \(L^ 1\)-spaces with applications to transport equations and Kolmogorov's differential equations
- Shattering and non-uniqueness in fragmentation models -- an analytic approach
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- On the application of substochastic semigroup theory to fragmentation models with mass loss.
- On small particles in coagulation-fragmentation equations
- Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss
- Jumping Markov processes
- Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression
- Universality of dishonesty of substochastic semigroups: shattering fragmentations and explosive birth-and-death processes
- Existence of densities for jumping stochastic differential equations
- Explosion phenomena in stochastic coagulation-fragmentation models
- Loss of mass in deterministic and random fragmentations.
- On the semi-group generated by Kolmogoroff's differential equations
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- A Scalar Transport Equation
- Dynamics and density evolution in piecewise deterministic growth processes
- On substochastic C0-semigroups and their generators
- One-Parameter Semigroups for Linear Evolution Equations
- A Semigroup Approach to Fragmentation Models
- Random Fragmentation and Coagulation Processes
- A Mean Ergodic Theorem
- On the Distribution of the Sizes of Particles which Undergo Splitting
- On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application
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