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Analyticity Results in Bernoulli Percolation - MaRDI portal

Analyticity Results in Bernoulli Percolation (Q6169450)

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scientific article; zbMATH DE number 7726552

Language	Label	Description	Also known as
English	Analyticity Results in Bernoulli Percolation	scientific article; zbMATH DE number 7726552

Statements

scholarly article

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Analyticity Results in Bernoulli Percolation (English)

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Angelos Georgakopoulos

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Christoforos Panagiotis

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publication date

14 August 2023

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full work available at URL

https://arxiv.org/abs/1811.07404

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MaRDI profile type

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Sharpness of the phase transition in percolation models

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Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation

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Tree graph inequalities and critical behavior in percolation models

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Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models

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An isoperimetric inequality for planar triangulations

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Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs

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Percolation on dual lattices withk-fold symmetry

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Cut sets and normed cohomology with applications to percolation

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Formulae and growth rates of high-dimensional polycubes

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Percolation and coarse conformal uniformization

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Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers

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Percolation in the hyperbolic plane

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A SHORT PROOF OF THE HARRIS–KESTEN THEOREM

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Analyticity of the \(d\)-dimensional bond percolation probability around \(p=1\)

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Density and uniqueness in percolation

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Differentiable, Nowhere Analytic Functions

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Bernoulli percolation above threshold: An invasion percolation analysis

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Anchored expansion, percolation and speed. (With an appendix by Gábor Pete)

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SIXTY YEARS OF PERCOLATION

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Existence of phase transition for percolation using the Gaussian free field

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Sharp phase transition for the random-cluster and Potts models via decision trees

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A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model

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On an elementary proof of some asymptotic formulas in the theory of partitions

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Geometric measure theory.

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Hyperbolicity vs. amenability for planar graphs

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On the Differentiability of the Number of Clusters Per Vertex in the Percolation Model

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Percolation on an infinitely generated group

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Analyticity Results in Bernoulli Percolation

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Bounds on connective constants of regular graphs

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The supercritical phase of percolation is well behaved

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Die erweiterten Steinerschen Formeln für ebene und sphärische Bereiche

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Site percolation and isoperimetric inequalities for plane graphs

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Hyperbolic and parabolic packings

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Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution

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Random Graphs and Complex Networks

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The signed loop approach to the Ising model: foundations and critical point

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The critical probability of bond percolation on the square lattice equals 1/2

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Analyticity properties and power law estimates of functions in percolation theory

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The probability of a large cluster in supercritical Bernoulli perlocation

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On the capacity functional of the infinite cluster of a Boolean model

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Random walks and percolation on trees

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Probability on Trees and Networks

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Continuum Percolation

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Quenched survival of Bernoulli percolation on Galton-Watson trees

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A note on curvature and fundamental group

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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On non-uniqueness of percolation on nonamenable Cayley graphs

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Random Geometric Graphs

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A note on percolation on \(\mathbb Z^d\): isoperimetric profile via exponential cluster repulsion

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Multiplicity of phase transitions and mean-field criticality on highly non-amenable graphs.

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A Remark About the Spectral Radius

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Cutsets in Infinite Graphs

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Inequalities with applications to percolation and reliability

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Complete analyticity of the 2D Potts model above the critical temperature

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Memoirs of the American Mathematical Society

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/MEMO/1431

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Sitelinks

Mathematics(1 entry)

mardi Publication:6169450

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