Geodesic
High degeneracy of effective Hamiltonian in two dimensions
Annales de l'I.H.P. Analyse non linéaire, Tome 39 (2022) no. 1, pp. 201-223

Voir la notice de l'article provenant de la source Numdam

Consider the effective Hamiltonian H ¯(p) associated with the mechanical Hamiltonian H(p,x)=1 2|p| 2 +V(x). We prove that for generic V, H ¯ is piecewise one-dimensional in a dense open set in two dimensions using Aubry–Mather theory.

Accepté le :
Publié le :
DOI : 10.4171/aihpc/6
Classification : 35B27, 35F20, 37J51 
Yu, Yifeng. High degeneracy of effective Hamiltonian in two dimensions. Annales de l'I.H.P. Analyse non linéaire, Tome 39 (2022) no. 1, pp. 201-223. doi: 10.4171/aihpc/6
@article{AIHPC_2022__39_1_201_0,
     author = {Yu, Yifeng},
     title = {High degeneracy of effective {Hamiltonian} in two dimensions},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {201--223},
     year = {2022},
     volume = {39},
     number = {1},
     doi = {10.4171/aihpc/6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpc/6/}
}
TY  - JOUR
AU  - Yu, Yifeng
TI  - High degeneracy of effective Hamiltonian in two dimensions
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2022
SP  - 201
EP  - 223
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/aihpc/6/
DO  - 10.4171/aihpc/6
LA  - en
ID  - AIHPC_2022__39_1_201_0
ER  - 
%0 Journal Article
%A Yu, Yifeng
%T High degeneracy of effective Hamiltonian in two dimensions
%J Annales de l'I.H.P. Analyse non linéaire
%D 2022
%P 201-223
%V 39
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/aihpc/6/
%R 10.4171/aihpc/6
%G en
%F AIHPC_2022__39_1_201_0

Cité par Sources :