Stochastic Operators and Semigroups and Their Applications in Physics and Biology
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Publication:2945459
DOI10.1007/978-3-319-11322-7_6zbMath1339.47059OpenAlexW236575125MaRDI QIDQ2945459
Publication date: 11 September 2015
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-11322-7_6
diffusionasymptotic stabilityrescalingsweepingiterated function systemtransport equationpopulation dynamicsergodic dynamical systemstochastic operatorbirth-death processtransfer operatorgene expressioncell cyclepiecewise deterministic Markov processcontinuous time Markov chainstochastic semigroupstochastic hybrid systemcomplete mixingFoguel alternativeintegral stochastic operatorflows with jumpsHasminskii functionlower function theoremparalog familiespartially integrable semigroupsectorial limit
Continuous-time Markov processes on general state spaces (60J25) Population dynamics (general) (92D25) Markov semigroups and applications to diffusion processes (47D07) Special processes (60K99) Other physical applications of random processes (60K40) Diffusion processes (60J60) Ergodic theorems, spectral theory, Markov operators (37A30) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Transition functions, generators and resolvents (60J35) Limit theorems in probability theory (60F99)
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Cites Work
- Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle
- Asymptotical stability in \(L^ 1\) of parabolic equations
- Models of dispersal in biological systems
- Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle
- Globally asymptotic properties of proliferating cell populations
- On the stability of the cell size distribution
- Exponential decay of the heat kernel over the diagonal. II
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
- A model for the evolution of paralog families in genomes
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Coagulation, fragmentation and growth processes in a size structured population
- Substochastic semigroups and densities of piecewise deterministic Markov processes
- Hybrid switching diffusions. Properties and applications
- Semigroups of linear operators and applications to partial differential equations
- Asymptotic periodicity of the iterates of weakly constrictive Markov operators
- Cell growth and division: a deterministic/probabilistic model of the cell cycle
- One-parameter semigroups of positive operators
- \(L^ 1\) stability of solutions to certain linear parabolic equations in divergence form
- An application of Markov operators in differential and integral equations
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Stability of Markov semigroups and applications to parabolic systems
- Coagulation-fragmentation processes
- Continuous Markov semigroups and stability of transport equations
- Randomly flashing diffusion: asymptotic properties.
- Asymptotic stability of some nonlinear Boltzmann-type equations
- Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss
- Stability in \(L^ 1\) of some integral operators
- The asymptotic behaviour of semigroups of linear operators
- Asynchronous exponential growth of a general structured population model
- An application of the Kantorovich-Rubinstein maximum principle in the theory of the Tjon-Wu equation
- Transcriptional stochasticity in gene expression
- Model of phenotypic evolution in hermaphroditic populations
- Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression
- Influence of stochastic perturbation on prey-predator systems
- Stochastic hybrid systems. Theory and safety critical applications.
- Long-time behaviour of a stochastic prey--predator model.
- On the semi-group generated by Kolmogoroff's differential equations
- Exact Dynamical Systems and the Frobenius-Perron Operator
- Asymptotic stability and sweeping of substochastic semigroups
- Invariant densities for dynamical systems with random switching
- Ergodic theorems and perturbations of contraction semigroups
- Asymptotic behaviour of solutions of the Tjon-Wu equation
- General Irreducible Markov Chains and Non-Negative Operators
- Relative entropy and stability of stochastic semigroups
- On a one-dimensional analogue of the Smale horseshoe
- Fragmentation-Coagulation Models of Phytoplankton
- Stochastic Hybrid Systems
- A stochastic symbiosis model with degenerate diffusion process
- An Abstract Delay-Differential Equation Modelling Size Dependent Cell Growth and Division
- On substochastic C0-semigroups and their generators
- Subadditive mean ergodic theorems
- Asymptotic behaviour of a transport equation
- A modification of the Wiener process due to a Poisson random train of diffusion-enhancing pulses
- On degenerate elliptic-parabolic operators of second order and their associated diffusions
- Exact solutions of the Boltzmann equation
- Asymptotic stability of a partial differential equation with an integral perturbation
- Strangely sweeping one-dimensional diffusion
- Random Fragmentation and Coagulation Processes
- Markov chains recurrent in the sense of Harris
- Mixing for Markov operators
- Markov operators defined by Volterra type integrals with advanced argument
- On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application
- The discrete coagulation equations with collisional breakage.
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