Missarov, M. D. Invariant manifolds of a renormalization group and critical behaviour in a hierarchical fermion model. (Russian) Zbl 0894.35090 Vestn. Mosk. Univ., Ser. I 1996, No. 6, 61-63 (1996). The author discusses invariant manifolds of a birational mapping. This mapping assigns the action of the renormalization group in the plane of coupling constants of a hierarchical fermion model. Some critical indices of this model are determined. Reviewer: A.Yu.Obolenskij (Kyïv) Cited in 1 Review MSC: 35Q40 PDEs in connection with quantum mechanics 81T17 Renormalization group methods applied to problems in quantum field theory Keywords:invariant manifolds; birational mappings; renormalization group; fermion model × Cite Format Result Cite Review PDF