Corner percolation on \(\mathbb Z^{2}\) and the square root of 17
From MaRDI portal
Publication:948743
DOI10.1214/07-AOP373zbMath1159.60032arXivmath/0507457OpenAlexW2129699945MaRDI QIDQ948743
Publication date: 20 October 2008
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0507457
critical exponentpercolationconformal invarianceadditive Brownian motiondimmer modelssimple random walk excursions
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items
Strict inequality for bond percolation on a dilute lattice with columnar disorder ⋮ Boundedness of the nodal domains of additive Gaussian fields ⋮ Avoidance couplings on non‐complete graphs ⋮ Loops and regions in Hitomezashi patterns ⋮ On the transition between the disordered and antiferroelectric phases of the 6-vertex model ⋮ Renormalization of polygon exchange maps arising from corner percolation ⋮ Locality of percolation for graphs with polynomial growth ⋮ Random interlacement is a factor of i.i.d. ⋮ Extensions of hitomezashi patterns ⋮ Mathematical specification of hitomezashi designs ⋮ Scheduling of Non-Colliding Random Walks ⋮ Bernoulli hyperplane percolation ⋮ Finite-energy infinite clusters without anchored expansion ⋮ A deterministic walk on the randomly oriented Manhattan lattice ⋮ Bernoulli line percolation ⋮ On a Form of Coordinate Percolation ⋮ Furstenberg entropy of intersectional invariant random subgroups ⋮ Type transition of simple random walks on randomly directed regular lattices ⋮ Degenerate random environments ⋮ Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet
Cites Work
- Two-dimensional scaling limits via marked nonsimple loops
- Two-dimensional critical percolation: the full scaling limit
- Quantitative noise sensitivity and exceptional times for percolation
- The bead model and limit behaviors of dimer models
- The incipient infinite cluster in two-dimensional percolation
- Infinite conformal symmetry in two-dimensional quantum field theory
- The critical probability of bond percolation on the square lattice equals 1/2
- On the statistics of vision: The Julesz conjecture
- The structure of a Brownian bubble
- Geography of the level sets of the Brownian sheet
- Points of increase of the Brownian sheet
- Conformal field theories of stochastic Loewner evolutions
- Scaling limits of loop-erased random walks and uniform spanning trees
- Dependent percolation in two dimensions
- Critical exponents for two-dimensional percolation
- Completeness of the Bethe ansatz for the six- and eight-vertex models.
- An embedding for the Kesten-Spitzer random walk in random scenery
- One-arm exponent for critical 2D percolation
- Uniform spanning forests
- Dominos and the Gaussian free field.
- Level sets of additive Lévy processes
- Eccentric behaviors of the Brownian sheet along lines
- Nondifferentiability of curves on the Brownian sheet
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- Dimers and amoebae
- Gaussian free fields for mathematicians
- Jordan curves in the level sets of additive Brownian motion
- On the effect of adding ε-Bernoulli percolation to everywhere percolating subgraphs of Zd
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Transient Random Walks on 2D-Oriented Lattices
- Clairvoyant scheduling of random walks
- Contours of Brownian processes with several-dimensional times
- One-dimensional Brownian motion and the three-dimensional Bessel process
- Percolation
- Non-independence of excursions of the Brownian sheet and of additive Brownian motion
- Domino tilings and the six-vertex model at its free-fermion point
- Noise sensitivity of Boolean functions and applications to percolation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Corner percolation on \(\mathbb Z^{2}\) and the square root of 17
