Asymptotic Properties of Random Restricted Partitions
نویسندگان
چکیده
We study two types of probability measures on the set integer partitions n with at most m parts. The first one chooses partition a chance related to its largest part only. obtain limiting distributions all parts together and that as tending infinity for fixed or m=o(n1/3). In particular, if goes not too fast, satisfies central limit theorem. second measure is very general includes Dirichlet uniform special cases. joint asymptotic are derived by taking limits in same manner measure.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11020417