Geodesic
Symmetries and cycles of the renormalization group in a fermionic hierarchical model
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 238-246

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We study singular points and symmetries of the renormalization group mapping in a fermionic hierarchical model. This mapping taken at the renormalization group singular point and with the renormalization group parameter $\alpha=1$ generates cycles of arbitrary lengths. 
@article{TMF_2001_126_2_a5,
     author = {R. Z. Dautov and M. D. Missarov},
     title = {Symmetries and cycles of the renormalization group in a fermionic hierarchical model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {238--246},
     publisher = {mathdoc},
     volume = {126},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a5/}
}
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R. Z. Dautov; M. D. Missarov. Symmetries and cycles of the renormalization group in a fermionic hierarchical model. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 238-246. http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a5/