On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors (Q2326492)
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| Language | Label | Description | Also known as |
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| English | On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors |
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On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors (English)
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7 October 2019
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This work develops a probabilist approach to the asymptotic behavior of growth-fragmentation semigroups via the Feynman-Kac formula, which was introduced before. They shown that the sufficient condition for a Malthusian behavior which was established is also necessary, then provide a simple criterion to ensure exponential speed of convergence, which is better than the previous work.
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growth-fragmentation equation
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Feynman-Kac formula
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Malthus exponent
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exponential ergodicity
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