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Percolation on hyperbolic graphs (Q1999360)

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Language	Label	Description	Also known as
English	Percolation on hyperbolic graphs	scientific article

Statements

scholarly article

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Percolation on hyperbolic graphs (English)

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Geometric and Functional Analysis. GAFA

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publication date

26 June 2019

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full work available at URL

https://arxiv.org/abs/1804.10191

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zbMATH Keywords

Bernoulli bond percolation

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nonamenable, Gromov hyperbolic, quasi-transitive graph

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MaRDI profile type

MaRDI publication profile

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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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Counterexamples for percolation on unimodular random graphs

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Hyperbolic and parabolic unimodular random maps

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A sharp threshold for collapse of the random triangular group

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Collapse of random triangular groups: a closer look

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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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Cut sets and normed cohomology with applications to percolation

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Percolation critical exponents under the triangle condition

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Convex hulls in the hyperbolic space

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Critical percolation on any nonamenable group has no infinite clusters

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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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Recurrence of distributional limits of finite planar graphs

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Embeddings of Gromov hyperbolic spaces

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A course on geometric group theory.

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Density and uniqueness in percolation

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Amenable hyperbolic groups

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Clusters in middle-phase percolation on hyperbolic plane

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Characterizing a vertex‐transitive graph by a large ball

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A sharper threshold for random groups at density one-half

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Lectures on the Ising and Potts Models on the Hypercubic Lattice

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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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Hyperbolicity vs. amenability for planar graphs

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Mean-field behavior for nearest-neighbor percolation in \(d>10\)

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Invariant percolation and harmonic Dirichlet functions

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Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses

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On fixing boundary points of transitive hyperbolic graphs

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Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)

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Doubling metric spaces are characterized by a lemma of Benjamini and Schramm

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Local limit theorem for symmetric random walks in Gromov-hyperbolic groups

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Random Walk on a Co-Compact Fuchsian Group

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Riemann Surfacese and Related Topics (AM-97)

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Uniqueness and non-uniqueness in percolation theory

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Monotonicity of uniqueness for percolation on Cayley graphs: All infinite clusters are born simultaneously

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Group actions on metric spaces: fixed points and free subgroups

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Mean-field critical behaviour for percolation in high dimensions

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Progress in high-dimensional percolation and random graphs

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Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters

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Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs

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The \(L^2\) boundedness condition in nonamenable percolation

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Statistical physics on a product of trees

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Advanced analysis on the real line

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A phase transition for hyperbolic branching processes

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Percolation on a product of two trees

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The triangle and the open triangle

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The Alexander-Orbach conjecture holds in high dimensions

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Arm exponents in high dimensional percolation

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Percolation on Fuchsian groups

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Percolation clusters in hyperbolic tessellations

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Hyperbolic branching Brownian motion

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Phase transitions on nonamenable graphs

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Fixed price of groups and percolation

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Probability on Trees and Networks

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Minimal spanning forests

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Indistinguishability of percolation clusters

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Trees, animals, and percolation on hyperbolic lattices

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Cheeger isoperimetric constant of Gromov hyperbolic manifolds and graphs

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Non-amenable Cayley graphs of high girth have \(p_c < p_u\) and mean-field exponents

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Gap exponents for percolation processes with triangle condition

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On non-uniqueness of percolation on nonamenable Cayley graphs

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Percolation on nonamenable products at the uniqueness threshold

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Stability of infinite clusters in supercritical percolation

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

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Mean-field criticality for percolation on planar non-amenable graphs

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A Remark About the Spectral Radius

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The expected degree of minimal spanning forests

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Percolation on nonunimodular transitive graphs

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The number of unbounded components in the Poisson Boolean model of continuum percolation in hyperbolic space

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Fixed sets and free subgroups of groups acting on metric spaces

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Random Walks on Infinite Graphs and Groups

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Property (T) and Kazhdan constants for discrete groups

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00039-019-00498-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:1999360

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