Abstract
This paper is a continuation of a paper, “Some Multi-Dimensional Branching Processes as Motivated by a Class of Problems in Mathematical Genetics I,” by C. J. Mode, which appeared in a previous issue of theBulletin. Its purpose is two-fold; namely to discuss the mathematical existence of the model and to supply the mathematical proofs of some theorems in section two of the paper mentioned above. This paper should be read in conjunction with the previous paper.
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Literature
Bharucha-Reid, A. T. 1960.Elements of the Theory of Markov Processes and their Applications. New York: McGraw-Hill, Inc.
Chung, K. L. 1960.Markov Chains with Stationary Transition Probabilities. Berlin-Göttingen-Heidelberg: Springer-Verlag.
Everett, C. J. and S. Ulam. 1948.Multiplicative Systems in Several Variables II. Los Alamos Scientific, Laboratory (LA-690).
Feller, W. 1957.An Introduction to Probability Theory and its Applications. New York: John Wiley and Sons, Inc.
Loe’ve, M. 1960.Probability Theory. Princeton, New Jersey: Van Nostrand, Inc.
Rudin, W. 1953.Principles of Mathematical Analysis. New York: McGraw-Hill, Inc.
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The research reported in this paper was supported in part by the United States Atomic Energy Commission, Division of Biology and Medicine Project AT(45-1)-1729.
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Mode, C.J. Some multi-dimensional branching processes as motivated by a class of problems in mathematical genetics II. Bulletin of Mathematical Biophysics 28, 181–190 (1966). https://doi.org/10.1007/BF02476992
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DOI: https://doi.org/10.1007/BF02476992