A matrix model for plane partitions
DOI10.1088/1742-5468/2009/10/P10011zbMath1456.82437arXiv0905.0535MaRDI QIDQ5220516
Publication date: 27 March 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.0535
matrix modelsrigorous results in statistical mechanicstopology and combinatoricsfree boundary problems (theory)
Random matrices (probabilistic aspects) (60B20) Exact enumeration problems, generating functions (05A15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
- Hermitian matrix model free energy: Feynman graph technique for all genera
- Recursion between Mumford volumes of moduli spaces
- Statistical mechanics of combinatorial partitions, and their limit shapes
- Integrable structure of melting crystal model with two \(q\)-parameters
- Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
- Invariants of algebraic curves and topological expansion
- Erratum: ``2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals
- Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model
- Binomial determinants, paths, and hook length formulae
- The longest increasing subsequence in a random permutation and a unitary random matrix model
- A method of integration over matrix variables
- Coupling the simple exclusion process
- The shape of a typical boxed plane partition
- The spectrum of coupled random matrices
- Level-spacing distributions and the Airy kernel
- Plane partitions. V: The TSSCPP conjecture
- Gromov-Witten invariants in algebraic geometry
- Local statistics of lattice dimers
- Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
- A bijection between classes of fully packed loops and plane partitions
- Generating functions for plane partitions of a given shape
- The arctic circle boundary and the Airy process
- Dimers and amoebae
- The statistics of dimers on a lattice
- Formal Matrix Integrals and Combinatorics of Maps
- Differential Operators on a Semisimple Lie Algebra
- Longest Increasing and Decreasing Subsequences
- The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
- On the distribution of the length of the longest increasing subsequence of random permutations
- Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
- Exact solution of a 1D asymmetric exclusion model using a matrix formulation
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Matrices coupled in a chain: I. Eigenvalue correlations
- The planar approximation. II
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- Asymptotics of Plancherel measures for symmetric groups
- Universal distribution of random matrix eigenvalues near the ‘birth of a cut’ transition
- Totally symmetric self-complementary plane partitions and the quantum Knizhnik–Zamolodchikov equation: a conjecture
- Topological expansion of mixed correlations in the Hermitian 2-matrix model andx–ysymmetry of theFgalgebraic invariants
- All order asymptotic expansion of large partitions