Probabilistic aspects of critical growth-fragmentation equations
نویسندگان
چکیده
منابع مشابه
Probabilistic aspects of critical phenomena∗
To be definite we shall consider the problem of critical fluctuations with the purpose of illustrating their relevance in the analysis of other difficult problems like field theory.
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We are interested in the long-time asymptotic behavior of growth-fragmentation equations with a nonlinear growth term. We present examples for which we can prove either the convergence to a steady state or conversely the existence of periodic solutions. Using the General Relative Entropy method applied to well chosen self-similar solutions, we show that the equation can “asymptotically” be redu...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2016
ISSN: 0001-8678,1475-6064
DOI: 10.1017/apr.2016.41