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A solvable problem in poisson statistics

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Abstract

Among the wide field of interest of Pierre Résibois, the exact solution of various problems in nonequilibrium statistical mechanics took a large place. Recently he used1 the model of hard rods moving on a line to study some properties in kinetic theory. As a tribute to his memory, I present in this paper the derivation of the exact solution of a problem of Poisson noise.

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References

  1. P. Résibois,Physica 90A:273 (1978).

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  3. J. Wesfreid, Y. Pomeau, M. Dubois, C. Normand, and P. Bergé,J. Phys. (Paris) 39:725 (1978).

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  4. R. L. Stratonovitch,Topics in the Theory of Random Noise, Vol. II (New York, 1967).

  5. N. G. van Kampen,Phys. Reports, Phys. Lett. C 24:271 (1976).

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Pomeau, Y. A solvable problem in poisson statistics. J Stat Phys 24, 189–197 (1981). https://doi.org/10.1007/BF01007643

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