RG-invariant curves in the fermionic hierarchical model
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 323-336
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In the fermionic hierarchical model, we investigate the renormalization group transformation given by a rational mapping in the coupling constant plane. We construct sections of stable invariant curves for all fixed points of this transformation. These curves are graphs of smooth functions, for which we give the upper and the lower estimates.
@article{TMF_1998_114_3_a0,
author = {M. D. Missarov},
title = {RG-invariant curves in the fermionic hierarchical model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--336},
year = {1998},
volume = {114},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_3_a0/}
}
M. D. Missarov. RG-invariant curves in the fermionic hierarchical model. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 323-336. http://geodesic.mathdoc.fr/item/TMF_1998_114_3_a0/
[1] E. Yu. Lerner, M. D. Missarov, J. Stat. Phys., 76:3/4 (1994), 805 | DOI | MR | Zbl
[2] P. M. Bleher, Ya. G. Sinai, Commun. Math. Phys., 33:1 (1973), 23 | DOI | MR
[3] Ya. G. Sinai, Teoriya fazovykh perekhodov, Nauka, M., 1980 | MR
[4] P. Collet, J.-P. Eckmann, A renormalization group analysis of the hierarchical model in statistical mechanics, Lecture Notes in Physics, 74, Springer-Verlag, Berlin–Heidelberg–New York, 1978 | MR
[5] P. M. Bleher, P. Major, Ann. Prob., 15 (1987), 431 | DOI | MR | Zbl
[6] E. Yu. Lerner, M. D. Missarov, TMF, 107:2 (1996), 201 | DOI | MR | Zbl
[7] Zh. Palis, V. di Melu, Geometricheskaya teoriya dinamicheskikh sistem, Mir, M., 1986 | MR