THE DISCRETE MAGNETIC LAPLACIAN ACTING ON PSEUDO-COCHAINS AND APPLICATION
ATHMOUNI, Nassim ; baloudi, hatem ; Damak, Mondher ; Ennaceur, Marwa
HAL, hal-02064271 / Harvested from HAL
This paper is devoted to the investigation of the question of the essential self-adjointness of discrete magnetic Laplacian operators on pseudo-cochains. We consider the notion of χ−completness of the locally finite graph and we approach this geometric hypothesis for the weighted magnetic graph. Moreover, we establish a link between the magnetic adjacency matrix on line graph and the magnetic discrete Laplacian on 1-forms.
Publié le : 2019-03-11
Classification:  [MATH]Mathematics [math]
@article{hal-02064271,
     author = {ATHMOUNI, Nassim and baloudi, hatem and Damak, Mondher and Ennaceur, Marwa},
     title = {THE DISCRETE MAGNETIC LAPLACIAN ACTING ON PSEUDO-COCHAINS AND APPLICATION},
     journal = {HAL},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-02064271}
}
ATHMOUNI, Nassim; baloudi, hatem; Damak, Mondher; Ennaceur, Marwa. THE DISCRETE MAGNETIC LAPLACIAN ACTING ON PSEUDO-COCHAINS AND APPLICATION. HAL, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/hal-02064271/