Optimal tail exponents in general last passage percolation via bootstrapping \& geodesic geometry
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Publication:6041767
DOI10.1007/s00440-023-01204-wzbMath1528.60095arXiv2007.03594OpenAlexW4366990838MaRDI QIDQ6041767
Shirshendu Ganguly, Milind Hegde
Publication date: 12 May 2023
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.03594
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items (4)
The lower tail of \(q\)-pushTASEP ⋮ The geometry of near ground states in Gaussian polymer models ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ Uniform fluctuation and wandering bounds in first passage percolation
Cites Work
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- Central limit theorem for first-passage percolation time across thin cylinders
- Small deviations for beta ensembles
- Exponential concentration for first passage percolation through modified Poincaré inequalities
- Sublinear variance in first-passage percolation for general distributions
- KPZ equation tails for general initial data
- Large deviations for increasing sequences on the plane
- Approximation of subadditive functions and convergence rates in limiting-shape results
- First passage percolation has sublinear distance variance.
- Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
- A law of the iterated logarithm for directed last passage percolation
- A representation for non-colliding random walks
- Optimal tail estimates for directed last passage site percolation with geometric random variables
- Moderate deviations for longest increasing subsequences: The lower tail
- Divergence of shape fluctuations in two dimensions
- The universal relation between scaling exponents in first-passage percolation
- Shape fluctuations and random matrices
- Geodesic rays and exponents in ergodic planar first passage percolation
- Lower deviations in \(\beta \)-ensembles and law of iterated logarithm in last passage percolation
- Fluctuations of the log-gamma polymer free energy with general parameters and slopes
- Interlacing and scaling exponents for the geodesic watermelon in last passage percolation
- Modulus of continuity of polymer weight profiles in Brownian last passage percolation
- Delocalization of polymers in lower tail large deviation
- Busemann functions and infinite geodesics in two-dimensional first-passage percolation
- A simplified proof of the relation between scaling exponents in first-passage percolation
- Subdiffusive concentration in first passage percolation
- 50 Years of First-Passage Percolation
- Beta ensembles, stochastic Airy spectrum, and a diffusion
- High-Dimensional Statistics
- High-Dimensional Probability
- Moderate deviations for longest increasing subsequences: The upper tail
- Exponents governing the rarity of disjoint polymers in Brownian last passage percolation
- A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION
- Coalescence of geodesics in exactly solvable models of last passage percolation
- Moving beyond sub-Gaussianity in high-dimensional statistics: applications in covariance estimation and linear regression
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