Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on Zd (Q5884790)

scientific article; zbMATH DE number 7667954

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English	Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on Zd	scientific article; zbMATH DE number 7667954

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instance of

scholarly article

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title

Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on Zd (English)

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author

Tom Hutchcroft

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published in

Journal of Mathematical Physics

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publication date

24 March 2023

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full work available at URL

https://arxiv.org/abs/2202.07634

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MaRDI profile type

MaRDI publication profile

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cites work

One dimensional \(1/| j-i| ^ s\) percolation models: The existence of a transition for s\(\leq 2\)

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Critical two-point functions for long-range statistical-mechanical models in high dimensions

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Mean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk

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Power-law bounds for critical long-range percolation below the upper-critical dimension

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Progress in high-dimensional percolation and random graphs

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Transience, recurrence and critical behavior for long-range percolation

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

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Percolation

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Q4848553

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Mean-field critical behaviour for percolation in high dimensions

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Tree graph inequalities and critical behavior in percolation models

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Percolation critical exponents under the triangle condition

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

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Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models.

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Scaling relations for 2D-percolation

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Critical exponents for two-dimensional percolation

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Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits

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One-arm exponent for critical 2D percolation

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The crossover region between long-range and short-range interactions for the critical exponents

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A scaling theory for the long-range to short-range crossover and an infrared duality

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Critical two-point function for long-range models with power-law couplings: the marginal case for \({d\ge d_{\mathrm{c}}}\)

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Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension

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Critical two-point function for long-range \(O(n)\) models below the upper critical dimension

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Sharp asymptotics of correlation functions in the subcritical long-range random-cluster and Potts models

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Locality of the critical probability for transitive graphs of exponential growth

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Sharpness of the phase transition in percolation models

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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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New critical exponent inequalities for percolation and the random cluster model

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

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On the derivation of mean-field percolation critical exponents from the triangle condition

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Identifiers

DOI

10.1063/5.0088450

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5884790