Results 11 to 20 of about 246,865 (191)

Notes on integer partitions [PDF]

open access: yesInternational Journal of Approximate Reasoning, 2023
Some observations concerning the lattices of integer partitions are presented. We determine the size of the standard contexts, discuss a recursive construction and show that the lattices have unbounded ...
Ganter, Bernhard
core   +6 more sources

Integer Partitions and Binary Trees [PDF]

open access: yesAdvances in Applied Mathematics, 2002
We present observations and problems connected with a weighted binary tree representation of integer ...
Schmidt, Frank
core   +4 more sources

Maximum entropy and integer partitions [PDF]

open access: yesCombinatorial Theory, 2023
We derive asymptotic formulas for the number of integer partitions with given sums of \(j\)th powers of the parts for \(j\) belonging to a finite, non-empty set \(J \subset \mathbb N\).
McKinley, Gweneth   +2 more
core   +5 more sources

Random partitions in statistical mechanics [PDF]

open access: yes, 2014
We consider a family of distributions on spatial random partitions that provide a coupling between different models of interest: the ideal Bose gas; the zero-range process; particle clustering; and spatial permutations.
Nicholas Ercolani (16242443)   +8 more
core   +1 more source

Multisectioned partitions of integers [PDF]

open access: yesPacific Journal of Mathematics, 1977
This paper presents identities on generating functions for multisectioned partitions of integers by developing in the language of partitions some powerful and essentially combinatorial techniques from the literature of principal differential ideals. D. Mead has stated in Vol. 42 of this journal that one can obtain interesting combinatorial relations by
openaire   +3 more sources

Alignment of rods and partition of integers [PDF]

open access: yesPhysical Review E, 2006
We study dynamical ordering of rods. In this process, rod alignment via pairwise interactions competes with diffusive wiggling. Under strong diffusion, the system is disordered, but at weak diffusion, the system is ordered. We present an exact steady-state solution for the nonlinear and nonlocal kinetic theory of this process.
Ben-Naim, E., Krapivsky, P. L.
openaire   +3 more sources

Staircase Packings of Integer Partitions [PDF]

open access: yes, 2023
An integer partition is a weakly decreasing sequence of positive integers. We study the family of packings of integer partitions in the triangular array of size n, where successive partitions in the packings are separated by at least one zero.
Arteaga, Melody
core   +2 more sources

Algorithms for generating integer partitions.

open access: yes, 1993
In this thesis we consider the problem of generating integer partitions. We provide an overview of all known algorithms for the sequential generation of partitions of an integer.
Zoghbi, Antoine C.
core   +2 more sources

Gluing two affine Yangians of 𝔤𝔩1

open access: yesJournal of High Energy Physics, 2019
We construct a four-parameter family of affine Yangian algebras by gluing two copies of the affine Yangian of 𝔤𝔩1. Our construction allows for gluing operators with arbitrary (integer or half integer) conformal dimension and arbitrary (bosonic or ...
Wei Li, Pietro Longhi
doaj   +1 more source

Parallel Rank of Two Sandpile Models of Signed Integer Partitions

open access: yesJournal of Applied Mathematics, 2013
We introduce the concept of fundamental sequence for a finite graded poset X which is also a discrete dynamical model. The concept of fundamental sequence is a refinement of the concept of parallel convergence time for these models.
G. Chiaselotti   +3 more
doaj   +1 more source

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