Elements of the Theory of Markov Processes and Their ApplicationsGraduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition. |
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... APPLICATIONS Chapter 4. Applications in Biology . 167 4.1 Introduction 167 4.2 Growth of Populations 4.3 Growth of Populations Subject to Mutation 4.4 Stochastic Theory of Epidemics 4.5 Diffusion Processes in the Theory of Gene ...
... APPLICATIONS Chapter 4. Applications in Biology . 167 4.1 Introduction 167 4.2 Growth of Populations 4.3 Growth of Populations Subject to Mutation 4.4 Stochastic Theory of Epidemics 4.5 Diffusion Processes in the Theory of Gene ...
Page 371
... Applications The applications given thus far have been concerned with certain problems in reaction kinetics . There are , however , other problems in chemistry that have been treated by using stochastic methods . In this section we ...
... Applications The applications given thus far have been concerned with certain problems in reaction kinetics . There are , however , other problems in chemistry that have been treated by using stochastic methods . In this section we ...
Page 372
... applications of the theory of diffusion - controlled reactions to biological systems and the quenching of fluorescence we refer to Refs . 5 and 11 . For another application of diffusion and random - walk methods we refer to the paper of ...
... applications of the theory of diffusion - controlled reactions to biological systems and the quenching of fluorescence we refer to Refs . 5 and 11 . For another application of diffusion and random - walk methods we refer to the paper of ...
Other editions - View all
Elements of the Theory of Markov Processes and Their Applications A. T. Bharucha-Reid Limited preview - 2012 |
Elements of the Theory of Markov Processes and Their Applications Albert T. Bharucha-Reid Limited preview - 1997 |
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absorber Acad applications assume assumptions asymptotic birth process birth-and-death process boundary branching processes cascade process cascade theory coefficients collision consider counter defined denote the number denote the probability derive deterministic differential equation diffusion equations diffusion processes distribution function E₁ electron-photon cascades epidemic expression Feller finite fluctuation problem functional equation given Hence initial condition integral equation interval 0,t ionization Jánossy Kolmogorov equations Laplace transform Let the random machine Markov chain Markov processes Math mathematical matrix Mellin transform Messel method Monte Carlo methods neutron nucleon nucleon cascades number of individuals o(At obtain P₁ photon Phys Poisson process population probability distribution Proc queueing process queueing system r₁ r₂ radiation Ramakrishnan random variable random variable X(t recurrent satisfies Statist stochastic model Stochastic Processes t₁ t₂ Takács Theorem tion transition probabilities X₁ zero дх