Titlebook: Stochastic Processes and their Applications; Proceedings of the S M. J. Beckmann,M. N. Gopalan,R. Subramanian Conference proceedings 1991 S

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The Square Wave Spectrum of a Markov Renewal Processd. Particularly explicit formulas are obtained for the Markovian Arrival Process, a generalization of the Poisson process with a natural matrix formalism which commonly leads to useful explicit results. An application to a procedure for the quantification of burstiness is discussed.

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Positive Definite Functions in Quantum Mechanics and in Turbulence. The equivalence of these representations is studied. The nature of the characteristic functions in quantum mechanics is discussed. In turbulence, time-correlations are positive-definite functions, but space-correlations have an ambiguous structure. In the annex, the properties of pseudo-random fun

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Phase Dependent Population Growth Modelsife time of an individual consists of two phases, we study the implication of phase dependence in deterministic and stochastic population growth models. By taking the first phase to be of constant duration in the deterministic model an explicit expression for the size of the population is derived. D