Talagrand's inequality in planar Gaussian field percolation
From MaRDI portal
Publication:2042781
DOI10.1214/21-EJP585zbMath1480.60295arXiv1905.13317OpenAlexW3159873299MaRDI QIDQ2042781
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.13317
Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Time-dependent percolation in statistical mechanics (82C43)
Related Items
Spatial networks and percolation. Abstracts from the workshop held January 17--23, 2021 (hybrid meeting), Fluctuations of the number of excursion sets of planar Gaussian fields, Boundedness of the nodal domains of additive Gaussian fields, Upper bounds on the one-arm exponent for dependent percolation models, The phase transition for planar Gaussian percolation models without FKG, Sharp phase transition for Gaussian percolation in all dimensions, Smooth Gaussian fields and percolation, Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Percolation of random nodal lines
- The critical probability of bond percolation on the square lattice equals 1/2
- Positively correlated normal variables are associated
- On Russo's approximate zero-one law
- Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\)
- Sharp phase transition for the random-cluster and Potts models via decision trees
- Discretisation schemes for level sets of planar Gaussian fields
- The critical threshold for Bargmann-Fock percolation
- The sharp phase transition for level set percolation of smooth planar Gaussian fields
- Quasi-independence for nodal lines
- Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
- Percolation
- Level Sets and Extrema of Random Processes and Fields
- Morse Theory. (AM-51)
- Percolation
- Gaussian Hilbert Spaces
- Hypercontractive Measures, Talagrand’s Inequality, and Influences
- Random Fields and Geometry
- Random wavefunctions and percolation
- A SHORT PROOF OF THE HARRIS–KESTEN THEOREM