Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams

Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams

We asymptotically analyse the volume random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most limi...

Full description

Bibliographic Details
Main Author:	Uwe Schwerdtfeger
Format:	Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 2008-01-01
Series:	Discrete Mathematics & Theoretical Computer Science
Subjects:	plane partition partition ferrers diagram limit law combinatorial probability [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-ds] mathematics [math]/dynamical systems [math.ds] [math.math-co] mathematics [math]/combinatorics [math.co]
Online Access:	https://dmtcs.episciences.org/3589/pdf

Similar Items

Random Records and Cuttings in Split Trees: Extended Abstract
by: Cecilia Holmgren
Published: (2008-01-01)

A note on the fragmentation of a stable tree
by: Philippe Marchal
Published: (2008-01-01)

On square permutations
by: Enrica Duchi, et al.
Published: (2008-01-01)

A variant of the Recoil Growth algorithm to generate multi-polymer systems
by: Florian Simatos
Published: (2008-01-01)

On density of truth of the intuitionistic logic in one variable
by: Zofia Kostrzycka
Published: (2008-01-01)

Analytic Combinatorics of the Mabinogion Urn
by: Philippe Flajolet, et al.
Published: (2008-01-01)

Concentration of measure and mixing for Markov chains
by: Malwina Luczak
Published: (2008-01-01)

Degree distribution in random planar graphs
by: Michael Drmota, et al.
Published: (2008-01-01)

(k − 2)-linear connected components in hypergraphs of rank k
by: Florian Galliot, et al.
Published: (2023-11-01)

On Kerov polynomials for Jack characters (extended abstract)
by: Valentin Féray, et al.
Published: (2013-01-01)

Polynomial tails of additive-type recursions
by: Eva-Maria Schopp
Published: (2008-01-01)

Subcritical pattern languages for and/or trees
by: Jakub Kozik
Published: (2008-01-01)

The Degree Distribution of Thickened Trees
by: Michael Drmota, et al.
Published: (2008-01-01)

Branching processes in random environment die slowly
by: Vladimir Vatutin, et al.
Published: (2008-01-01)

Hopcroft's automaton minimization algorithm and Sturmian words
by: Jean Berstel, et al.
Published: (2008-01-01)

Small parts in the Bernoulli sieve
by: Alexander Gnedin, et al.
Published: (2008-01-01)

Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras
by: Gérard Duchamp, et al.
Published: (1997-01-01)

Counting Shi regions with a fixed separating wall
by: Susanna Fishel, et al.
Published: (2011-01-01)

On the density and the structure of the Peirce-like formulae
by: Antoine Genitrini, et al.
Published: (2008-01-01)

The size of random fragmentation intervals
by: Rafik Aguech
Published: (2008-01-01)

On the number of zero increments of random walks with a barrier
by: Alex Iksanov, et al.
Published: (2008-01-01)

A Markov Chain Algorithm for determining Crossing Times through nested Graphs
by: Uta Freiberg, et al.
Published: (2008-01-01)

The register function for lattice paths
by: Guy Louchard, et al.
Published: (2008-01-01)

Staircase Macdonald polynomials and the $q$-Discriminant
by: Adrien Boussicault, et al.
Published: (2008-01-01)

Rate of Escape of Random Walks on Regular Languages and Free Products by Amalgamation of Finite Groups
by: Lorenz A. Gilch
Published: (2008-01-01)

Point process stabilization methods and dimension estimation
by: J. E. Yukich
Published: (2008-01-01)

Combinatorics of k-shapes and Genocchi numbers
by: Florent Hivert, et al.
Published: (2011-01-01)

Counting Polyominoes on Twisted Cylinders
by: Gill Barequet, et al.
Published: (2005-01-01)

$k$-distant crossings and nestings of matchings and partitions
by: Dan Drake, et al.
Published: (2009-01-01)

A product formula for the TASEP on a ring
by: Erik Aas, et al.
Published: (2014-01-01)

Noncommutative Symmetric Hall-Littlewood Polynomials
by: Lenny Tevlin
Published: (2011-01-01)

On the $L(p,1)$-labelling of graphs
by: Daniel Gonçalves
Published: (2005-01-01)

Error bounds in stochastic-geometric normal approximation
by: Mathew Penrose, et al.
Published: (2008-01-01)

Analysis of an algorithm catching elephants on the Internet
by: Yousra Chabchoub, et al.
Published: (2008-01-01)

On subcritical multi-type branching process in random environment
by: Elena Dyakonova
Published: (2008-01-01)

Genus one partitions
by: Robert Cori, et al.
Published: (2014-01-01)

A bijection between noncrossing and nonnesting partitions of types A and B
by: Ricardo Mamede
Published: (2009-01-01)

Geometry and complexity of O'Hara's algorithm
by: Matjaž Konvalinka, et al.
Published: (2009-01-01)

The height of random binary unlabelled trees
by: Nicolas Broutin, et al.
Published: (2008-01-01)

Generic properties of random subgroups of a free group for general distributions
by: Frédérique Bassino, et al.
Published: (2012-01-01)