Skip to main content

Sequent Correlations in Evolutionary Stochastic Point Processes

  • Chapter
Symposia on Theoretical Physics 4
  • 48 Accesses

Abstract

In this discussion, I propose to give a brief outline of some of the recent developments in what are called “stochastic point processes.” I am afraid that the treatment may not be satisfactory to mathematicians, since our approach will be completely devoid of that mathematical tenor that is usually associated with stochastic processes. As Professor Ramakrishnan has observed, there is a group of mathematically oriented scientists who believe that the theory of stochastic processes is a part of measure theory and that, as such, it must be given a fair treatment. I wish to apologize for presenting an “unfair” treatment, that of resorting to phenomenological methods, with emphasis on techniques and mode of application rather than on abstract theory. Since the results are essentially new and the applications quite numerous, it is worth while to discuss the techniques in a purely phenomenological way.

Department of Mathematics

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. S. Bartlett, An Introduction to Stochastic Processes, Cambridge University Press, 1955.

    Google Scholar 

  2. R. E. Bellman, R. Kalaba, and R. Vasudevan, J. Math. Anal. Appl. 8: 225 (1964).

    Article  MathSciNet  Google Scholar 

  3. D. G. Kendall, J. Roy. Stat. Soc. B 11: 230 (1949).

    MathSciNet  Google Scholar 

  4. A. Ramakrishnan, Proc. Cambridge Phil. Soc. 46: 595 (1950).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. A. Ramakrishnan and T. K. Radha, Proc. Cambridge Phil. Soc. 57: 843 (1961).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. A. Ramakrishnan, “Causality in Deterministic, Stochastic, and Quantum Mechanical Processes,” preprint, 1962.

    Google Scholar 

  7. A. Ramakrishnan, An Introduction to the Theory of Elementary Particles and Cosmic Rays, Pergamon Press, London, 1962.

    Google Scholar 

  8. N. R. Ranganathan and R. Vasudevan, Proc. Phys. Soc. 76: 650 (1960).

    Article  ADS  Google Scholar 

  9. S. K. Srinivasan, in A. Ramakrishnan (editor), Matscience Symposia on Theoretical Physics, Vol. 2, Plenum Press, New York, 1966, p. 195.

    Google Scholar 

  10. S. K. Srinivasan and K. S. S. Iyer, Nuovo Cimento 33: 273 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  11. S. K. Srinivasan and K. S. S. Iyer, Nuovo Cimento 34: 67 (1964).

    Article  Google Scholar 

  12. S. K. Srinivasan and R. Vasudevan, Nuovo Cimento 41: 101 (1966).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Alladi Ramakrishnan (Director of the Institute)

Rights and permissions

Reprints and permissions

Copyright information

© 1967 Plenum Press

About this chapter

Cite this chapter

Srinivasan, S.K. (1967). Sequent Correlations in Evolutionary Stochastic Point Processes. In: Ramakrishnan, A. (eds) Symposia on Theoretical Physics 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7691-0_15

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-7691-0_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-7693-4

  • Online ISBN: 978-1-4684-7691-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics