Large Deviations Problem for the Shape of a Random Young Diagram with Restrictions
Using the original method from ,  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.
KeywordsClosed Interval Young Diagram Piecewise Linear Function Large Deviation Principle Exponential Compactness
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- 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.Google Scholar
- V. Blinovsky, “Large deviations principle for random Young diagram”, Proc. IEEE Symp. on Inf. Theory, Boston, MIT, 1998.Google Scholar
- V. Blinovsky, “Large deviations principle for random Young diagram”, Problems of Information Transmission 34, No. 1, 1999 (to appear).Google Scholar
- A. Dembo, A. Vershik A. and O. Zeitouni, Large Deviation Principle for Integer Partitions,manuscript.Google Scholar