scientific article; zbMATH DE number 3198427

Publication date: 1960

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Related Items

Power-law corrections to exponential decay of connectivities and correlations in lattice models., A correlation inequality for connection events in percolation, Percolation of the excursion sets of planar symmetric shot noise fields, Constrained percolation in two dimensions, A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model, Finding a target subnetwork in sparse networks with random faults, Parametric estimation in autoregressive processes under quasi-associated random errors, Secure computation from one-way noisy communication, or: anti-correlation via anti-concentration, A problem of Füredi and Seymour on covering intersecting families by pairs, Large deviations for the contact process and two dimensional percolation, Connectivity properties of Mandelbrot's percolation process, Strict inequality for bond percolation on a dilute lattice with columnar disorder, Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters, Towards characterizing equality in correlation inequalities, Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation, Approximation of subadditive functions and convergence rates in limiting-shape results, Hypergraph colouring and the Lovász local lemma, On the continuity of the critical value for long range percolation in the exponential case, The time of bootstrap percolation in two dimensions, The analysis of the Widom-Rowlinson model by stochastic geometric methods, Ergodicity of the hard-core model on \(\mathbb{Z}^ 2\) with parity-dependent activities, Brochette percolation, On the uniqueness of the infinite cluster in the percolation model, Minimal spanning forests, Percolation on nonunimodular transitive graphs, Wetting and layering for solid-on-solid I: identification of the wetting point and critical behavior, Percolation and contact processes with low-dimensional inhomogeneity, Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures, Upper tails for arithmetic progressions in random subsets, Electrical resistance of the low dimensional critical branching random walk, Normal fluctuations and the FKG inequalities, Lower bound for the escape probability in the Lorentz mirror model on \(\mathbb{Z}^{2}\), The critical probability of bond percolation on the square lattice equals 1/2, Correlation inequalities and their applications, The basic contact processes, Conformally invariant scaling limits in planar critical percolation, Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation, Chvátal's conjecture and correlation inequalities, Lower bounds for boundary roughness for droplets in Bernoulli percolation, Concentration of measure for the number of isolated vertices in the Erdős-Rényi random graph by size bias couplings, Total progeny in killed branching random walk, An interlacing technique for spectra of random walks and its application to finite percolation clusters, Exponential inequality for associated random variables, Percolation beyond \(\mathbb Z^{d}\): the contributions of Oded Schramm, Percolation theory and some applications, The FKG inequality for partially ordered algebras, An ``FKG equality with applications to random environments, A sharp threshold for a modified bootstrap percolation with recovery, Geometric influences. II: Correlation inequalities and noise sensitivity, Stability of the Wulff minimum and fluctuations in shape for large finite clusters in two-dimensional percolation, Upper bounds on the percolation correlation length, Maker-breaker percolation games. II: Escaping to infinity, Number theoretic correlation inequalities for Dirichlet densities, Approximate zero-one laws and sharpness of the percolation transition in a class of models including two-dimensional Ising percolation, Percolation of random nodal lines, Topological and metric properties of infinite clusters in stationary two- dimensional site percolation, The asymptotic optimality of spider-web networks, Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses, Coloring percolation clusters at random., Quantitative noise sensitivity and exceptional times for percolation, Coexistence in two-type first-passage percolation models, Inequalities of FKG type, Gaussian fluctuations of connectivities in the subcritical regime of percolation, The central limit theorem for supercritical oriented percolation in two dimensions, Field theory of Ising percolating clusters, Sandpile models, Old and new applications of Katona's circle, On percolation of two-dimensional hard disks, Directed polymers on infinite graphs, On the correlation of increasing families, A uniqueness condition for Gibbs measures, with application to the 2- dimensional Ising antiferromagnet, New results on measures of maximal entropy, Harry Kesten's work in probability theory, Power-law bounds for critical long-range percolation below the upper-critical dimension, Correlation lengths for oriented percolation, Scaling inequalities for oriented percolation, Universality for critical KCM: finite number of stable directions, The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees, Lower bound on the correlation between monotone families in the average case, Points of increase for random walks, Kaplan-Meier estimator under association, The tortuosity of occupied crossings of a box in critical percolation, Markov fields on branching planes, Critical percolation on any nonamenable group has no infinite clusters, Mean-field critical behaviour for correlation length for percolation in high dimensions, Random Van der Waerden theorem, Correlation for permutations, Connectivity properties of the adjacency graph of \(\text{SLE}_{\kappa}\) bubbles for \(\kappa\in(4,8)\), On a sharp transition from area law to perimeter law in a system of random surfaces, Analyticity properties and power law estimates of functions in percolation theory, The existence of exactly \(m\)-coloured complete subgraphs, On the phase transition to sheet percolation in random Cantor sets., The covariance matrix of the Potts model: a random cluster analysis., Correlation inequalities and a conjecture for permanents, Random surface correlation functions, Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability, Percolation and the hard-core lattice gas model, The incipient infinite cluster in two-dimensional percolation, A percolation problem for \(\{\pm 1\}\)-valued strongly mixing random fields on \({\mathbb Z}^ d\), A large deviation result for the subcritical Bernoulli percolation, Component behaviour and excess of random bipartite graphs near the critical point, Conformal covariance of connection probabilities and fields in 2D critical percolation, Smooth Gaussian fields and percolation, Refined universality for critical KCM: upper bounds, Distances in \(\frac{1}{\|x-y\|^{2d}}\) percolation models for all dimensions, On the ergodic control of ensembles, Defective coloring of hypergraphs, A power law for connectedness of some random graphs at the critical point, Intersections of graphs, A note on the Harris-Kesten theorem, Spectral covariance and limit theorems for random fields with infinite variance, Quantitative correlation inequalities via extremal power series, Annealed scaling relations for Voronoi percolation, Upper tails for triangles, Connections in Randomly Oriented Graphs, On the monotonicity of the critical time in the constrained-degree percolation model, Cryptography with One-Way Communication, Logarithmic correction to resistance, Upper tails via high moments and entropic stability, Approximating Critical Parameters of Branching Random Walks, Boundedness of the nodal domains of additive Gaussian fields, Quenched survival of Bernoulli percolation on Galton-Watson trees, Solid-on-solid interfaces with disordered pinning, Parameter estimation in a subcritical percolation model with colouring, Unnamed Item, Phase transition and uniqueness of levelset percolation, The critical threshold for Bargmann-Fock percolation, The sharp phase transition for level set percolation of smooth planar Gaussian fields, Packing nearly optimal Ramsey \(R(3,t)\) graphs, Improved upper bounds for the critical probability of oriented percolation in two dimensions, On the probability of nonexistence in binomial subsets, Uniqueness in percolation theory, Octopuses in the Boolean cube: families with pairwise small intersections. I, One‐two dependence and probability inequalities between one‐ and two‐sided union‐intersection tests, The Success Probability in Levine’s Hat Problem, and Independent Sets in Graphs, Square percolation and the threshold for quadratic divergence in random right‐angled Coxeter groups, Counting extensions revisited, Universality for two‐dimensional critical cellular automata, 1‐independent percolation on ℤ2×Kn, Upper bounds on the one-arm exponent for dependent percolation models, Locality of random digraphs on expanders, Deviation probabilities for arithmetic progressions and irregular discrete structures, The phase transition for planar Gaussian percolation models without FKG, The constrained-degree percolation model, Combined pricing and inventory control with multiple unreliable suppliers, Sharp threshold for the FA-2f kinetically constrained model, Perfect matchings in down-sets, Inequalities in Statistics and Information Measures, The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior, Universality for critical KCM: infinite number of stable directions, T. E. Harris' contributions to interacting particle systems and percolation, A Note on Conditioning and Stochastic Domination for Order Statistics, An isoperimetric inequality for the Hamming cube and some consequences, Percolation on Homology Generators in Codimension One, On the Method of Typical Bounded Differences, A Stability Result for the Union-Closed Size Problem, Biased random walk in positive random conductances on \(\mathbb{Z}^{d}\), Asymptotics for Shamir's problem, Unnamed Item, On a property of random-oriented percolation in a quadrant, Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs, Percolation in the secrecy graph, On the cycle space of a random graph, Arm exponents in high dimensional percolation, The size of the giant joint component in a binomial random double graph, The scaling window of the 2-SAT transition, Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \), Conformal partition functions of critical percolation fromD₃thermodynamic Bethe Ansatz equations, The phase transition for dyadic tilings, Estimation in spin glasses: a first step, Coexistence and Noncoexistence of Markovian Viruses and their Hosts, Percolation and magnetization for generalized continuous spin models, The threshold for combs in random graphs, Integral-geometry morphological image analysis, A localization inequality for set functions., A note on percolation, A necklace of Wulff shapes, Critical random forests, Some remarks on associated random fields, random measures and point processes, Clique percolation, Negative correlation and log-concavity, Normal approximation for quasi-associated random fields, Bernoulli line percolation, The lower tail: Poisson approximation revisited, The critical probability for random Voronoi percolation in the plane is 1/2, High-dimensional incipient infinite clusters revisited, Correlation inequalities and monotonicity properties of the Ruelle operator, Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs, A counterexample to the DeMarco‐Kahn upper tail conjecture, Long paths and connectivity in 1‐independent random graphs, Upper tail bounds for stars, On the critical percolation probabilities, The Janson inequalities for general up‐sets, On the treewidth of random geometric graphs and percolated grids, Associated random variables and martingale inequalities, Percolation on an infinitely generated group, A Polynomial Lower Bound for Testing Monotonicity, Nearest-neighbor Markov interaction processes on multidimensional lattices, On the number of incipient spanning clusters, Quasi-independence for nodal lines, On the rate of convergence for critical crossing probabilities, Hitting times for Shamir’s problem, Phase diagram of inhomogeneous percolation with a defect plane, Upper bounds on probability thresholds for asymmetric Ramsey properties, Tight upper tail bounds for cliques, Quenched invariance principles for random walks and elliptic diffusions in random media with boundary