Airy point process at the liquid-gas boundary
From MaRDI portal
Publication:1800824
DOI10.1214/17-AOP1244zbMath1428.60063arXiv1606.08653OpenAlexW2963511788MaRDI QIDQ1800824
Sunil Chhita, Kurt Johansson, Vincent Beffara
Publication date: 24 October 2018
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.08653
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items
Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit, Local geometry of the rough-smooth interface in the two-periodic Aztec diamond, Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class, Dimer-dimer correlations at the rough-smooth boundary, A numerical study of two-point correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit, Weakly nonplanar dimers, Biased \(2 \times 2\) periodic Aztec diamond and an elliptic curve, On the domino shuffle and matrix refactorizations, The two-periodic Aztec diamond and matrix valued orthogonal polynomials, Domino tilings of the aztec diamond with doubly periodic weightings, A periodic hexagon tiling model and non-Hermitian orthogonal polynomials, Correlation functions for determinantal processes defined by infinite block Toeplitz minors, Gap probabilities in the bulk of the Airy process
Cites Work
- Domino statistics of the two-periodic Aztec diamond
- Anisotropic growth of random surfaces in \({2+1}\) dimensions
- The Nevai condition and a local law of large numbers for orthogonal polynomial ensembles
- Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field
- Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
- Dimers on rail yard graphs
- Scaling limit of isoradial dimer models and the case of triangular quadri-tilings
- Lozenge tilings with free boundaries
- Local statistics of lattice dimers
- Scale invariance of the PNG droplet and the Airy process
- Step fluctuations for a faceted crystal
- Discrete polynuclear growth and determinantal processes
- On global fluctuations for non-colliding processes
- Fluctuations of particle systems determined by Schur generating functions
- Conformal invariance of domino tiling.
- Dominos and the Gaussian free field.
- Asymptotics of height change on toroidal Temperleyan dimer models
- Bulk universality for random lozenge tilings near straight boundaries and for tensor products
- Brownian Gibbs property for Airy line ensembles
- Coupling functions for domino tilings of Aztec diamonds
- Pattern densities in non-frozen planar dimer models
- Limit shapes and the complex Burgers equation
- Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
- The arctic circle boundary and the Airy process
- Dimers and amoebae
- A variational principle for domino tilings
- Conway's Tiling Groups
- Lectures on Dimers
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- Gaussian Free Field in an Interlacing Particle System with Two Jump Rates
- Dimers and families of Cauchy-Riemann operators I
- From Aztec diamonds to pyramids: Steep tilings
- Arctic curves of the octahedron equation
