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Irregular Scattering, Number Theory, and Statistical Mechanics

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Stochasticity and Quantum Chaos

Part of the book series: Mathematics and Its Applications ((MAIA,volume 317))

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Abstract

In this paper we present results on the relations between wave scattering in the so-called modular domain, analytic number theory, and classical statistical mechanics. The motion in the modular domain is an example of so-called arithmetic chaos. In this paper we shortly review results from [5, 6, 7], but concentrate on previously unpublished results.

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References

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© 1995 Springer Science+Business Media Dordrecht

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Knauf, A. (1995). Irregular Scattering, Number Theory, and Statistical Mechanics. In: Haba, Z., Cegła, W., Jakóbczyk, L. (eds) Stochasticity and Quantum Chaos. Mathematics and Its Applications, vol 317. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0169-1_13

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  • DOI: https://doi.org/10.1007/978-94-011-0169-1_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4076-1

  • Online ISBN: 978-94-011-0169-1

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