S. A. Molchanov, A. K. Stepanov, “Percolation in random fields. III”, TMF, 67:2 (1986), 177–185; Theoret. and Math. Phys., 67:2 (1986), 434

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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 67, Number 2, Pages 177–185 (Mi tmf4997)

This article is cited in 11 scientific papers (total in 11 papers)

Percolation in random fields. III

S. A. Molchanov, A. K. Stepanov

Full-text PDF (1087 kB) Citations (11)

References:

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Abstract: An ergodic symmetrically distributed random field on a plane with infinitely smooth realizations and finite moments up to any order inclusively that does not admit percolation at any level

$-\infty<h<+\infty$ is constructed.

Received: 20.03.1985

English version:
Theoretical and Mathematical Physics, 1986, Volume 67, Issue 2, Pages 434–439
DOI: https://doi.org/10.1007/BF01118150

Bibliographic databases:

Language: Russian

Citation: S. A. Molchanov, A. K. Stepanov, “Percolation in random fields. III”, TMF, 67:2 (1986), 177–185; Theoret. and Math. Phys., 67:2 (1986), 434–439

Citation in format AMSBIB

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\by S.~A.~Molchanov, A.~K.~Stepanov

\paper Percolation in random fields.~III

\jour TMF

\yr 1986

\vol 67

\issue 2

\pages 177--185

\mathnet{http://mi.mathnet.ru/tmf4997}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=851557}

\transl

\jour Theoret. and Math. Phys.

\yr 1986

\vol 67

\issue 2

\pages 434--439

\crossref{https://doi.org/10.1007/BF01118150}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986F368200002}

Linking options:

https://www.mathnet.ru/eng/tmf4997

https://www.mathnet.ru/eng/tmf/v67/i2/p177

Cycle of papers

Percolation in random fields. I
S. A. Molchanov, A. K. Stepanov
TMF, 1983, 55:2, 246–256
Percolation in random fields. II
S. A. Molchanov, A. K. Stepanov
TMF, 1983, 55:3, 419–430
Percolation in random fields. III
S. A. Molchanov, A. K. Stepanov
TMF, 1986, 67:2, 177–185

This publication is cited in the following 11 articles:

Stephen Muirhead, Igor Wigman, “The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration”, Probab. Theory Relat. Fields, 2025
Reimer Kühn, “Level-set percolation of Gaussian random fields on complex networks”, Phys. Rev. E, 110:3 (2024)
Reimer Kühn, “Gaussian level-set percolation on complex networks”, Phys. Rev. E, 110:5 (2024)
Stephen Muirhead, “A sprinkled decoupling inequality for Gaussian processes and applications”, Electron. J. Probab., 28:none (2023)
Dmitry Beliaev, “Smooth Gaussian fields and percolation”, Probab. Surveys, 20:none (2023)
Franco Severo, “Sharp phase transition for Gaussian percolation in all dimensions”, Annales Henri Lebesgue, 5 (2022), 987
Marcia A. Cooper, William W. Erikson, Michael S. Oliver, “Electrical conductivity of porous binary powder mixtures”, Mechanics of Materials, 162 (2021), 104026
Nina Javerzat, Sebastian Grijalva, Alberto Rosso, Raoul Santachiara, “Topological effects and conformal invariance in long-range correlated random surfaces”, SciPost Phys., 9:4 (2020)
Stephen Muirhead, Hugo Vanneuville, “The sharp phase transition for level set percolation of smooth planar Gaussian fields”, Ann. Inst. H. Poincaré Probab. Statist., 56:2 (2020)
Alejandro Rivera, Hugo Vanneuville, “The critical threshold for Bargmann–Fock percolation”, Annales Henri Lebesgue, 3 (2020), 169
Alejandro Rivera, Hugo Vanneuville, “Quasi-independence for nodal lines”, Ann. Inst. H. Poincaré Probab. Statist., 55:3 (2019)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	353
Full-text PDF :	117
References:	67
First page:	1

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