About isospectral deformations of discrete laplacians

1979 ◽  
pp. 313-370 ◽  
Author(s):  
Pierre van Moerbeke
Keyword(s):  
Discrete Laplacians

scholarly journals Discrete Laplacians on general polygonal meshes

2011 ◽  
Vol 30 (4) ◽  
pp. 1-10 ◽  
Author(s):  
Marc Alexa ◽  
Max Wardetzky
Keyword(s):  
Polygonal Meshes ◽  
Discrete Laplacians

The application of Regge calculus to quantum gravity and quantum field theory in a curved background

1982 ◽  
Vol 383 (1785) ◽  
pp. 359-377 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Gravity ◽  
Quantum Field ◽  
Regge Calculus ◽  
Curved Space ◽  
Monte Carlo Techniques ◽  
Lattice Gauge ◽  
Discrete Laplacians ◽  
Lattice Gauge Theories

The application of Regge calculus to quantum gravity and quantum field theory in a curved background is discussed. A discrete form of exterior differential calculus is developed, and this is used to obtain Laplacians for P -forms on the Regge manifold. To assess the accuracy of these approximations, the eigenvalues of the discrete Laplacians were calculated for the regular tesselations of S 2 and S 3 . The results indicate that the methods obtained in this paper may be used in curved space–times with an accuracy comparing with that obtained in lattice gauge theories on a flat background. It also becomes evident that Regge calculus provides particularly suitable lattices for Monte-Carlo techniques.

Surface spectra of discrete Laplacians

2018 ◽  
Author(s):  
E. Korotyaev ◽  
K. Ryadovkin ◽  
N. Saburova
Keyword(s):  
Discrete Laplacians
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