Order of the variance in the discrete Hammersley process with boundaries
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Publication:2274475
DOI10.1007/s10955-019-02314-3zbMath1488.60228arXiv1712.06479OpenAlexW2963025667WikidataQ127757893 ScholiaQ127757893MaRDI QIDQ2274475
Federico Ciech, Nicos Georgiou
Publication date: 19 September 2019
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.06479
solvable modelslast passage percolationcorner growth modellongest increasing subsequenceoriented percolationKPZ universality classlast passage timeHammersley processflat edge
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Cites Work
- Unnamed Item
- Unnamed Item
- Limit shapes for inhomogeneous corner growth models with exponential and geometric weights
- Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
- Variational formulas and disorder regimes of random walks in random potentials
- Variational formulas and cocycle solutions for directed polymer and percolation models
- Random-walk in beta-distributed random environment
- Scaling for a one-dimensional directed polymer with boundary conditions
- Stationary cocycles and Busemann functions for the corner growth model
- Geodesics and the competition interface for the corner growth model
- Second class particles and cube root asymptotics for Hammersley's process
- The strict-weak lattice polymer
- Soft edge results for longest increasing paths on the planar lattice
- A phase transition for competition interfaces
- Oriented percolation in two dimensions
- The shape of the limit set in Richardson's growth model
- A variational problem for random Young tableaux
- Exact limiting shape for a simplified model of first-passage percolation on the plane
- Increasing sequences of independent points on the planar lattice
- Hydrodynamical methods for analyzing longest increasing subsequences
- Optimality regions and fluctuations for Bernoulli last passage models
- Limiting shape for directed percolation models
- Supercritical contact processes on Z
- Ulam's problem and Hammersley's process
- Strict inequalities for the time constant in first passage percolation.
- Hammersley's interacting particle process and longest increasing subsequences
- A microscopic model for the Burgers equation and longest increasing subsequences
- Differentiability at the edge of the percolation cone and related results in first-passage percolation
- Shape fluctuations and random matrices
- A universality property for last-passage percolation paths close to the axis
- Tropical combinatorics and Whittaker functions
- Quenched point-to-point free energy for random walks in random potentials
- Cube root fluctuations for the corner growth model associated to the exclusion process
- Tracy-widom asymptotics for a random polymer model with gamma-distributed weights
- Competition interfaces and second class particles
- Expected length of the longest common subsequence for large alphabets
- Discrete Hammersley's Lines with sources and sinks
- Variational Formula for the Time Constant of First-Passage Percolation
- Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- Longest common subsequences of two random sequences
- On the distribution of the length of the longest increasing subsequence of random permutations
- Quenched Free Energy and Large Deviations for Random Walks in Random Potentials
- Busemann functions, geodesics, and the competition interface for directed last-passage percolation
- Limit theorems for height fluctuations in a class of discrete space and time growth models