Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions
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DOI: 10.1063/5.0086873
Abstract: Dyson’s model in infinite dimensions is a system of Brownian particles that interact via a logarithmic potential with an inverse temperature of β = 2. The stochastic process can be represented by the solution to… read more here.
Keywords: model infinite; unlabeled dynamics; ergodicity unlabeled; dyson model ... See more keywords
Asymptotic analysis of a size-structured population model with infinite states-at-birth
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DOI: 10.1080/00036811.2017.1408075
Abstract: ABSTRACT In this paper, we study a size-structured population model with infinite states-at-birth and distributed delay in birth process. We are interested in the asymptotic behavior of the considered system and, particularly, in the effect… read more here.
Keywords: structured population; population model; infinite states; analysis ... See more keywords
Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching
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DOI: 10.1186/s13662-018-1609-8
Abstract: We investigate the long-term properties of a stochastic Lotka–Volterra model with infinite delay and Markovian chains on a finite state space. We investigate that the stochastic model admits a unique positive global solution which stays… read more here.
Keywords: volterra model; stochastic lotka; properties stochastic; lotka volterra ... See more keywords