Skip to main content

Applications of the Maximum Entropy Method in Mathematics and Physics

  • Chapter
The Maximum Entropy Method

Part of the book series: Springer Series in Information Sciences ((SSINF,volume 32))

  • 587 Accesses

Abstract

This chapter is concerned with the MEM applications in mathematics and physics. First of all, we would like to say a few words about the terminology and notation to be used.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. L. R. Mead, N. Papanicolaou: J. Math. Phys. 25, 2404–2417 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  2. D. V. Widder: The Laplace Transform (Princeton University Press, Princeton, NJ 1946).

    Google Scholar 

  3. S. Ciulli, M. Mounsif, N. Gorman, T. D. Spearman: J. Math. Phys. 31, 1717–1719 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  4. S. Kopec, G. L. Bretthorst: “Entropy, moments and probability theory”, in Maximum Entropy and Bayesian Methods, ed. by A. Mohammad-Djafari, G. Demoments (Kluwer, Dordrecht, Netherlands 1993) pp. 25–30.

    Google Scholar 

  5. J. G. Wheeler, R. G Gordon: J. Chem. Phys. 51, 5566–5583 (1969).

    ADS  Google Scholar 

  6. L. E. Mead: J. Math. Phys. 27, 2903–2907 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. S. Kopec: J. Math. Phys. 32, 1269–1272 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. S. Kopec: “On application of MaxEnt to solving Fredholm integral equations”, in Maximum Entropy and Bayesian Methods, ed. by A. Mohammad- Djafari, G. Demoments (Kluwer, Dordrecht, Netherlands 1993) pp. 63–66.

    Google Scholar 

  9. P. Hick, G. Stevens: Astron. Astrophys. 172, 350–358 (1987).

    ADS  Google Scholar 

  10. E. T. Jaynes: Phys. Eev. 106, 620–630 (1957); ibid. 108, 171–190 (1957).

    Google Scholar 

  11. E. T. Jaynes: “Predictive statistical mechanics”; in Frontiers of Nonequilibriurn Statistical Physics, Proc. NATO Adv. Study Institute, ed. by G. T. Moore, M. U. Scully (Pelnum, New York, NY 1986) pp. 33–56.

    Google Scholar 

  12. K. Huang: Statistical Mechanics (Wiley, New York, NY 1987).

    MATH  Google Scholar 

  13. F. Reif: Statistical Physics, Berkeley Physics Course, vol. 5 (McGraw-Hill, New York, NY 1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Wu, N. (1997). Applications of the Maximum Entropy Method in Mathematics and Physics. In: The Maximum Entropy Method. Springer Series in Information Sciences, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60629-8_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-60629-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64484-9

  • Online ISBN: 978-3-642-60629-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics