Diffusion of information in a random environment

References

• Abramowitz , M. and Stegun , I. A. 1964 . Handbook of Mathematical Functions , Washington, D.C. : National Bureau of Standards . Chapter 6
   Google Scholar
• Ariaratnam , S. T. and Srikantaiah , T. K. 1978 . Parametric instabilities in elastic structures under stochastic loading . Journal of Structural Mechanics , 6 : 349 – 365 .
   Web of Science ®Google Scholar
• Arnold , L. 1974 . Stochastic Differential Equations , New York : Wiley .
   Google Scholar
• Bailey , N. T. J. 1964 . The Elements of Stochastic Processes with Applications to the Natural Sciences , New York : Wiley .
   Google Scholar
• Bartholomew , D. J. 1967 . Stochastic Models for Social Processes , New York : Wiley .
   Google Scholar
• Bartholomew , D. J. 1976 . Continuous time diffusion models with random duration of interest . Journal of Mathematical Sociology , 4 : 187 – 199 .
   Web of Science ®Google Scholar
• Bhargava , S. C. and Karmeshu . 1977 . Stochastic stability of an L‐R circuit with a randomly fluctuating resistance . International Journal of Electronics , 42 : 175 – 179 .
   Web of Science ®Google Scholar
• Brissaud , A. and Frisch , U. 1974 . Solving linear stochastic differential equations . Journal of Mathematical Physics , 15 : 524 – 534 .
   Web of Science ®Google Scholar
• Goel , N. S. , Maitra , S. C. and Montroll , E. W. 1971 . On the Volterra and other nonlinear models of interacting populations . Reviews of Modern Physics , 43 : 231 – 276 .
   Web of Science ®Google Scholar
• Karmeshu . 1976 . Motion of a particle in a velocity‐dependent random force . Journal of Applied Probability , 13 : 684 – 695 .
   Web of Science ®Google Scholar
• Karmeshu . 1978 . A stochastically perturbed nonlinear point reactor model . Annals of Nuclear Energy , 5 : 21 – 25 .
   Web of Science ®Google Scholar
• Karmeshu and Bansal , N. K. 1975 . Stability of moments in a simple neutronic system with stochastic parameters . Nuclear Science and Engineering , 58 : 321 – 327 .
   Web of Science ®Google Scholar
• Karmeshu and Bansal , N. K. 1976 . Statistical description of a point reactor model in the absence of delayed neutrons . Atomkernenergie , 28 : 79 – 84 .
   Google Scholar
• Karmeshu , Bhargava , S. C. and Chhabra , P. C. 1977 . On a stochastic resistance . International Journal of Electronics , 42 : 299 – 302 .
   Web of Science ®Google Scholar
• Karmeshu and Pathria , R. K. 1979 . Cooperative behaviour in a nonlinear model of diffusion of information . Canadian Journal of Physics , 57 : 1572 – 1578 .
   Google Scholar
• Karmeshu and Pathria , R. K. 1980a . Stochastic evolution of a nonlinear model of diffusion of information . Journal of Mathematical Sociology , 7 : 59 – 71 .
   Web of Science ®Google Scholar
• Karmeshu and Pathria , R. K. 1980a . Time development of a Markov process in a finite population: Application to diffusion of information . Journal of Mathematical Sociology , 7 : 229 – 240 .
   Web of Science ®Google Scholar
• Montroll , E. W. and Badger , W. W. 1974 . Introduction to Quantitative Aspects of Social Phenomena , New York : Gordon and Breach .
   Google Scholar
• Pathria , R. K. 1972 . Statistical Mechanics , New York : Pergamon Press, Chapter 13 .
   Google Scholar
• Williams , M. M. R. 1974 . Random Processes in Nuclear Reactors , Oxford : Pergamon Press .
   Google Scholar
• Wong , E. and Zakai , M. 1965 . On the convergence of ordinary integrals to stochastic integrals . Annals of Mathematical Statistics , 36 : 1560 – 1564 .
   Google Scholar
• On leave of absence from the University of Delhi, Delhi‐110007 India.
   Google Scholar