A. C. D. van Enter, R. Fern'andez, and A. D. Sokal. Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Phys. Rev. Lett., 66:3253--3256, 1991. Home/Search Document Not in Database Summary APS Related Articles Check |
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Almost) Gibbsian description of the - Sign-Fields Of Sos-Fields Self-citation (Van enter) (Correct)
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A. C. D. van Enter, R. Fern'andez, and A. D. Sokal. Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Phys. Rev. Lett., 66:3253--3256, 1991.
Measures for Lattice Systems - Fernández (1998) Self-citation (Fern'andez) (Correct)
....works can be associated to an initial stage of the study of non Gibbsian measures, centered in the symptomatology of the phenomenon. The second stage of this study the diagnosis stage originated in the pioneer article by Israel [25] which was formalized and exploited only a decade later [63, 64, 65, 66, 67, 68, 60]. In this stage, the different known occurrences of non Gibbsianness were systematized and some key probabilistic aspects were emphasized. The non Gibbsianness of renormalized measures was traced to the lack of continuity (in an appropriate sense, see below) with respect to the external (or ....
A. C. D. van Enter, R. Fern'andez, and A. D. Sokal. Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Phys. Rev. Lett., 66:3253--3256, 1991.
Problems with the definition of renormalized.. - van Enter.. (1998) (1 citation) Self-citation (Van enter Fern'andez) (Correct)
....out (e.g. 8, p. 82] 3, footnote in page 38] 13, p. 268] that the method is not a black box type of technique; its succesful application requires some understanding of the underlying physics or one may be led to incorrect conclusions. Studies on the foundations of real space transformations [15, 16, 19, 29, 30] suggest that a similar remark applies to the underlying mathematics. Indeed, these studies show that in various occasions renormalized Hamiltonians are ill defined. The finite volume probabilities of the renormalized system exhibit a long range dependence on boundary spins that is incompatible ....
A. C. D. van Enter, R. Fern'andez, and A. D. Sokal. Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Phys. Rev. Lett., 66:3253--3256, 1991.
(Almost) Gibbsian description of the sign-fields of SOS-fields - van Enter, Shlosman Self-citation (Van enter) (Correct)
....a measure on a lattice system which has a measure zero set of points (configurations) where some conditional probability can be discontinuous, but does not become a Gibbs measure under decimation (or other) transformations. We also discuss some related issues. 1 Introduction In recent years ([49, 50, 48, 45, 46, 30, 52, 26, 40, 7, 42, 36, 37, 41, 51, 24] and references therein) various measures on finite spin lattice models have been found which are not Gibbs measures in a strict sense. These measures can occur in physically rather natural set ups, for example by applying single Renormalization Group maps to Gibbs measures (see also the ....
A. C. D. van Enter, R. Fern'andez, and A. D. Sokal. Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Phys. Rev. Lett., 66:3253--3256, 1991.
The Renormalization-Group peculiarities of Griffiths and Pearce: .. - van Enter (1998) (1 citation) Self-citation (Van enter) (Correct)
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A. C. D. van Enter, R. Fern'andez, and A. D. Sokal. Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Phys. Rev. Lett. 66,3253--3256 (1991).
Renormalization Group Pathologies and - The Definition Of (Correct)
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A. C. D. van Enter, R. Fern'andez, and A. D. Sokal. Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Phys. Rev. Lett., 66:3253--3256, 1991.
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