Experimental Study of Energy-Level Statistics in a Regime of Regular Classical Motion

1989 ◽  
Vol 62 (8) ◽  
pp. 893-896 ◽  
Author(s):  
George R. Welch ◽  
Michael M. Kash ◽  
Chun-ho Iu ◽  
Long Hsu ◽  
Daniel Kleppner
1992 ◽  
Vol 69 (15) ◽  
pp. 2188-2191 ◽  
Author(s):  
J. Bolte ◽  
G. Steil ◽  
F. Steiner

1998 ◽  
Vol 249-251 ◽  
pp. 792-795 ◽  
Author(s):  
M. Batsch ◽  
L. Schweitzer ◽  
B. Kramer

1999 ◽  
Vol 59 (4) ◽  
pp. 4026-4035 ◽  
Author(s):  
H. Makino ◽  
T. Harayama ◽  
Y. Aizawa

1996 ◽  
Vol 10 (16) ◽  
pp. 1989-1997
Author(s):  
Y. CHEN ◽  
S.M. MANNING

We investigate the gap formation probability of the effective one-dimensional gas model recently proposed for the energy level statistics for disordered solids at the mobility edge. It is found that in order to get the correct form for the gap probability of this model, the thermodynamic limit must be taken very carefully.


2012 ◽  
Vol 23 (03) ◽  
pp. 585-608 ◽  
Author(s):  
LUBOŠ BRIM ◽  
JAKUB CHALOUPKA

We design a novel algorithm for solving Mean-Payoff Games (MPGs). Besides solving an MPG in the usual sense, our algorithm computes more information about the game, information that is important with respect to applications. The weights of the edges of an MPG can be thought of as a gained/consumed energy – depending on the sign. For each vertex, our algorithm computes the minimum amount of initial energy that is sufficient for player Max to ensure that in a play starting from the vertex, the energy level never goes below zero. Our algorithm is not the first algorithm that computes the minimum sufficient initial energies, but according to our experimental study it is the fastest algorithm that computes them. The reason is that it utilizes the strategy improvement technique which is very efficient in practice.


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