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Fourier transform of the percolation free energy
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  • Published: June 1988

Fourier transform of the percolation free energy

  • Bao Gia Nguyen1 

Probability Theory and Related Fields volume 78, pages 165–168 (1988)Cite this article

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  • 1 Citations

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Summary

In this paper we compute the Fourier transform of the free energy of the percolation process. We apply the Fourier transform technique to rederive a result of Aizenman-Kesten-Newman that the derivative of the free energy is continuous.

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References

  1. Aizenman, M., Kesten, H., Newman, C.M.: Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. Comm. Math. Phys. 111, 505–531 (1987)

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  2. Kesten, H.: Percolation theory for mathematicians. Boston: Birkhauser 1982

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Author information

Authors and Affiliations

  1. Center for Stochastic Processes, Department of Statistics, University of North Carolina, Phillips Hall 039 A, 27514, Chapel Hill, NC, USA

    Bao Gia Nguyen

Authors
  1. Bao Gia Nguyen
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Additional information

This research was supported by the Air Force Office of Scientific Research, Grant No. F49620 85 C0144

Part of this work was also carried out at The University of Mississippi, Department of Mathematics, University, MS 38677, USA

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Cite this article

Nguyen, B.G. Fourier transform of the percolation free energy. Probab. Th. Rel. Fields 78, 165–168 (1988). https://doi.org/10.1007/BF00322016

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  • Received: 20 October 1986

  • Revised: 11 December 1987

  • Issue Date: June 1988

  • DOI: https://doi.org/10.1007/BF00322016

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Keywords

  • Fourier
  • Free Energy
  • Fourier Transform
  • Stochastic Process
  • Probability Theory
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