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Large Deviations Problem for the Shape of a Random Young Diagram with Restrictions

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Numbers, Information and Complexity

Abstract

Using the original method from [4], [5] we prove the validity of the local large deviations principle for the shape of a random Young diagram with different constraints on the multiplicity of the rows of equal length.

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References

  1. J. Deuschel and D. Stroock, Large Deviations, Boston: Academic Press, 1989.

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  2. A. Dembo, O. Zeitouni, Large Deviations Techniques and Applications, Boston: Jones and Barlett Publishers, 1993.

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  3. V. Blinovsky, and R. Dobrushin, “Process level large deviations for a class of piecewise homogeneous random walks”, The Dynkin Festschrift, Markov Processes and their Applications, Progress in Probability, Boston, Birkhauser, vol. 34, 1994, 1–60.

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  4. V. Blinovsky, “Large deviations principle for random Young diagram”, Proc. IEEE Symp. on Inf. Theory, Boston, MIT, 1998.

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  5. V. Blinovsky, “Large deviations principle for random Young diagram”, Problems of Information Transmission 34, No. 1, 1999 (to appear).

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  6. A. Dembo, A. Vershik A. and O. Zeitouni, Large Deviation Principle for Integer Partitions,manuscript.

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© 2000 Springer Science+Business Media New York

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Blinovsky, V. (2000). Large Deviations Problem for the Shape of a Random Young Diagram with Restrictions. In: Althöfer, I., et al. Numbers, Information and Complexity. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6048-4_39

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  • DOI: https://doi.org/10.1007/978-1-4757-6048-4_39

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4967-7

  • Online ISBN: 978-1-4757-6048-4

  • eBook Packages: Springer Book Archive

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