Maximum entropy and integer partitions
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Publication:5886264
DOI10.5070/C63160420OpenAlexW3118047846MaRDI QIDQ5886264
Gweneth McKinley, Will Perkins, Marcus Michelen
Publication date: 31 March 2023
Published in: Combinatorial Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.14498
Central limit and other weak theorems (60F05) Combinatorial aspects of partitions of integers (05A17) Asymptotic enumeration (05A16)
Cites Work
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- The quantitative behaviour of polynomial orbits on nilmanifolds
- Statistical mechanics of combinatorial partitions, and their limit shapes
- Partitions of \(n\) into \(t\sqrt n\) parts
- A simplified proof of the partition formula
- Maximum entropy Gaussian approximations for the number of integer points and volumes of polytopes
- The role of duality in optimization problems involving entropy functionals with applications to information theory
- I-divergence geometry of probability distributions and minimization problems
- On a likely shape of the random Ferrers diagram
- From recursions to asymptotics: On Szekeres' formula for the number of partitions
- Maximum entropy solutions and moment problem in unbounded domains
- Some asymptotic formulas for lattice paths
- Log-concave polynomials. I: Entropy and a deterministic approximation algorithm for counting bases of matroids
- Counting integer points in higher-dimensional polytopes
- Limit shapes of Young diagrams. Two elementary approaches
- A generalized Hardy-Ramanujan formula for the number of restricted integer partitions
- Über Partitionen mit Differenzenbedingungen
- On an elementary proof of some asymptotic formulas in the theory of partitions
- A variational principle for domino tilings
- Limit shapes, real and imagined
- Information Theory and Statistical Mechanics
- On some problems of the statistical theory of partitions with application to characters of the symmetric group. I
- On some problems of the statistical theory of partitions with application to characters of the symmetric group. II
- The Structure of Random Partitions of Large Integers
- Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers
- ASYMPTOTIC PARTITION FORMULAE
- The Wulff construction in statistical mechanics and combinatorics
- MAXIMUM ENTROPY FOR REDUCED MOMENT PROBLEMS
- The number of graphs and a random graph with a given degree sequence
- Counting Partitions inside a Rectangle
- Entropy, optimization and counting
- An O(log n/log log n)-Approximation Algorithm for the Asymmetric Traveling Salesman Problem
- SOME ASYMPTOTIC FORMULAE IN THE THEORY OF PARTITIONS (II)
- Probability
- Random partitions with non-negative \(r\)th differences
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