The Limiting Distribution of the Hook Length of a Randomly Chosen Cell in a Random Young Diagram

Let be the number of all integer partitions of the positive integer , and let be a partition selected uniformly at random from among all such partitions. It is well known that each partition has a unique graphical representation composed of non-overlapping cells in the plane, called a Young diagram....

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Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2022-03, Vol.316 (1), p.268-279
1. Verfasser:	Mutafchiev, Ljuben R.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Asymptotic properties Graphical representations Integers Mathematics Mathematics and Statistics Power series Probability density functions Random variables Saddle points Sampling
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