Add to ORKGWe study the asymptotic behavior of the largest part size of a plane partition ω of the positive integer n, assuming that ω is chosen uniformly at random from the set of all such partitions. We prove that this characteristic, appropriately normalized, tends weakly, as n → ∞, to a random variable having an extreme value probability distribution with distribution function, equal to e−e−z,− ∞ < z < ∞. The representation of a plane partition as a solid diagram shows that the same limit theorem holds for the numbers of rows and columns of a random plane partition of n. 1
Several theoretical estimates of the distribution of the parts of integer partitions have been publi...
Random skew plane partitions of large size distributed according to an appropriately scaled Schur pr...
23 pagesInternational audienceThis article presents uniform random generators of plane partitions ac...
We study the asymptotic behavior of the largest part size of a plane partition ω of the positive int...
Several theoretical estimates of the distribution of the parts of integer partitions have been publi...
We study two types of probability measures on the set of integer partitions of n with at most m part...
A partition of a positive integer n is a way of writing it as the sum of positive integers without r...
Let Σ2n be the set of all partitions of the even integers from the interval (4, 2n], n> 2, into t...
Let λ be a partition of an integer n chosen uniformly at random among all such partitions. Let s (λ)...
AbstractWe consider an integer partition λ1⩾⋯⩾λℓ, ℓ⩾1, chosen uniformly at random among all partitio...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
AbstractFor a given integer n, let Λn denote the set of all integer partitions λ1⩾λ2⩾…⩾λm>0 (m⩾1), o...
AbstractWe prove a central limit theorem for the number of different part sizes in a random integer ...
AbstractWe study the random partitions of a large integern, under the assumption that all such parti...
Dedicated to Zhengyan Lin on his sixty fifth birthday In this paper we aim to review some works on t...
Several theoretical estimates of the distribution of the parts of integer partitions have been publi...
Random skew plane partitions of large size distributed according to an appropriately scaled Schur pr...
23 pagesInternational audienceThis article presents uniform random generators of plane partitions ac...
We study the asymptotic behavior of the largest part size of a plane partition ω of the positive int...
Several theoretical estimates of the distribution of the parts of integer partitions have been publi...
We study two types of probability measures on the set of integer partitions of n with at most m part...
A partition of a positive integer n is a way of writing it as the sum of positive integers without r...
Let Σ2n be the set of all partitions of the even integers from the interval (4, 2n], n> 2, into t...
Let λ be a partition of an integer n chosen uniformly at random among all such partitions. Let s (λ)...
AbstractWe consider an integer partition λ1⩾⋯⩾λℓ, ℓ⩾1, chosen uniformly at random among all partitio...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
AbstractFor a given integer n, let Λn denote the set of all integer partitions λ1⩾λ2⩾…⩾λm>0 (m⩾1), o...
AbstractWe prove a central limit theorem for the number of different part sizes in a random integer ...
AbstractWe study the random partitions of a large integern, under the assumption that all such parti...
Dedicated to Zhengyan Lin on his sixty fifth birthday In this paper we aim to review some works on t...
Several theoretical estimates of the distribution of the parts of integer partitions have been publi...
Random skew plane partitions of large size distributed according to an appropriately scaled Schur pr...
23 pagesInternational audienceThis article presents uniform random generators of plane partitions ac...