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Unlacing hypercube percolation: a survey (Q2441320)

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Language	Label	Description	Also known as
English	Unlacing hypercube percolation: a survey	scientific article

Statements

scholarly article

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Unlacing hypercube percolation: a survey (English)

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Remco van der Hofstad

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publication date

24 March 2014

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full work available at URL

https://arxiv.org/abs/1201.3953

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https://research.tue.nl/nl/publications/6c0a09ff-c337-43c4-868d-a86fe8676f07

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zbMATH Keywords

percolation

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phase transition

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hypercube

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MaRDI profile type

MaRDI publication profile

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Tree graph inequalities and critical behavior in percolation models

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Largest random component of a k-cube

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Brownian excursions, critical random graphs and the multiplicative coalescent

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Percolation critical exponents under the triangle condition

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The Evolution of Random Graphs

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The Evolution of Random Subgraphs of the Cube

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Random subgraphs of finite graphs. II: The lace expansion and the triangle condition

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Random subgraphs of finite graphs: I. The scaling window under the triangle condition

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Random subgraphs of finite graphs. III: The phase transition for the \(n\)-cube

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Polygons and the Lace Expansion

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Self-avoiding walk enumeration via the lace expansion

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Evolution of the \(n\)-cube

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Non-backtracking random walk

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Mean-field critical behaviour for percolation in high dimensions

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Random graph asymptotics on high-dimensional tori. II: volume, diameter and mixing time

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Asymptotic expansions inn−1 for percolation critical values on then-Cube and ℤn

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Expansion in ${\boldsymbol{n^{-1}}}$ for Percolation Critical Values on the $n$-cube and ${\boldsymbol{{\mathbb Z}^n}}$: the First Three Terms

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Multicyclic components in a random graph process

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Percolation on a product of two trees

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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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Component behavior near the critical point of the random graph process

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The Structure of a Random Graph at the Point of the Phase Transition

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Critical random graphs: Diameter and mixing time

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

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Counting connected graphs inside-out

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Proof of the Van den Berg–Kesten Conjecture

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

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Inequalities with applications to percolation and reliability

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Hypercube percolation

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Identifiers

zbMATH Open document ID

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10.1007/s00184-013-0473-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2441320

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