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The Journal of Mathematical Sociology Volume 7, 1980 - Issue 1
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Original Articles

Stochastic evolution of a nonlinear model of diffusion of informationFootnote*

Karmeshu University of Delhi
&
R. K. Pathria c/o Department of Physics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1
Pages 59-71 | Published online: 26 Aug 2010

References

  • Bartholomew , D. J. 1976 . Continuous time diffusion models with random duration of interest . Journal of Mathematical Sociology , 4 : 187 – 199 .
  • Chandrasekhar , S. 1943 . Stochastic problems in physics and astronomy . Reviews of Modern Physics , 15 : 1 – 89 .
  • Gray , L. N. and von Broembsen , M. H. 1974 . On simple stochastic diffusion models . Journal of Mathematical Sociology , 3 : 231 – 244 .
  • Haken , H. 1977 . Synergetics , New York : Springer‐Verlag .
  • Karmeshu and Pathria , R. K. 1979 . Cooperative behaviour in a nonlinear model of diffusion of information . Canadian Journal of Physics , 57 : 1572 – 1578 .
  • Karmeshu and Pathria , R. K. 1980 . Stochastic evolution of competing social groups . Journal of Mathematical Sociology , 7 : 47 – 58 .
  • Kubo , R. , Matsuo , K. and Kitahara , K. 1973 . Fluctuation and relaxation of macrovariables . Journal of Statistical Physics , 9 : 51 – 96 .
  • Nicolis , G. and Prigogine , I. 1977 . Self‐Organization in Nonequilibrium Systems , New York : John Wiley .
  • Pathria , R. K. 1972 . Statistical Mechanics , Oxford : Pergamon Press .
  • van Kampen , N. G. 1961 . A power series expansion of the master equation . Canadian Journal of Physics , 39 : 551 – 567 .
  • van Kampen , N. G. 1963 . Thermal fluctuations in nonlinear systems . Journal of Mathematical Physics , 4 : 190 – 194 .
  • Work supported in part by the Natural Sciences and Engineering Research Council of Canada.
  • Requests for reprints should be addressed to the second author c/o Department of Physics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1.

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