Geodesic
Renormalization group in a~fermionic hierarchical model in projective coordinates
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 3, pp. 355-362

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the renormalization group action in a fermionic hierarchical model in the space of coefficients determining the Grassmann-valued density of the free measure. This space is interpreted as the two-dimensional projective space. The renormalization group map is a homogeneous quadratic map and has a special geometric property that allows describing invariant sets and the global dynamics in the whole space.
Keywords: fermionic model, hierarchical lattice, renormalization group, projective space, dynamics.
Mots-clés : invariant set 
@article{TMF_2012_173_3_a0,
     author = {M. D. Missarov},
     title = {Renormalization group in a~fermionic hierarchical model in projective coordinates},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {355--362},
     publisher = {mathdoc},
     volume = {173},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_173_3_a0/}
}
TY  - JOUR
AU  - M. D. Missarov
TI  - Renormalization group in a~fermionic hierarchical model in projective coordinates
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2012
SP  - 355
EP  - 362
VL  - 173
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2012_173_3_a0/
LA  - ru
ID  - TMF_2012_173_3_a0
ER  - 
%0 Journal Article
%A M. D. Missarov
%T Renormalization group in a~fermionic hierarchical model in projective coordinates
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2012
%P 355-362
%V 173
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2012_173_3_a0/
%G ru
%F TMF_2012_173_3_a0
M. D. Missarov. Renormalization group in a~fermionic hierarchical model in projective coordinates. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 3, pp. 355-362. http://geodesic.mathdoc.fr/item/TMF_2012_173_3_a0/