High-Precision Monte Carlo Simulation of the Ising Models on the Penrose Lattice and the Dual Penrose Lattice

2016 ◽  
Vol 85 (4) ◽  
pp. 044004 ◽  
Author(s):  
Yukihiro Komura ◽  
Yutaka Okabe
2021 ◽  
Vol 26 ◽  
pp. 100862
Author(s):  
Abrar Hussain ◽  
Lihao Yang ◽  
Shifeng Mao ◽  
Bo Da ◽  
Károly Tőkési ◽  
...  

Sensors ◽  
2020 ◽  
Vol 20 (9) ◽  
pp. 2746 ◽  
Author(s):  
Dragos Constantin Popescu ◽  
Ioan Dumitrache ◽  
Simona Iuliana Caramihai ◽  
Mihail Octavian Cernaianu

The paper addresses the problem of fusing the measurements from multiple cameras in order to estimate the position of fiducial markers. The objectives are to increase the precision and to extend the working area of the system. The proposed fusion method employs an adaptive Kalman algorithm which is used for calibrating the setup of cameras as well as for estimating the pose of the marker. Special measures are taken in order to mitigate the effect of the measurement noise. The proposed method is further tested in different scenarios using a Monte Carlo simulation, whose qualitative precision results are determined and compared. The solution is designed for specific positioning and alignment tasks in physics experiments, but also, has a degree of generality that makes it suitable for a wider range of applications.


1994 ◽  
Vol 05 (03) ◽  
pp. 547-560 ◽  
Author(s):  
P.D. CODDINGTON

Monte Carlo simulation is one of the main applications involving the use of random number generators. It is also one of the best methods of testing the randomness properties of such generators, by comparing results of simulations using different generators with each other, or with analytic results. Here we compare the performance of some popular random number generators by high precision Monte Carlo simulation of the 2-d Ising model, for which exact results are known, using the Metropolis, Swendsen-Wang, and Wolff Monte Carlo algorithms. Many widely used generators that perform well in standard statistical tests are shown to fail these Monte Carlo tests.


1981 ◽  
Vol 44 (4) ◽  
pp. 333-337 ◽  
Author(s):  
B. K. Chakrabarti ◽  
H. G. Baumg�rtel ◽  
D. Stauffer

1987 ◽  
Vol 43 (3) ◽  
pp. 329-337 ◽  
Author(s):  
Debashish Chowdhury ◽  
E.T. Gawlinski ◽  
J.D. Gunton

1988 ◽  
Vol 37 (10) ◽  
pp. 5444-5447 ◽  
Author(s):  
Masatoshi Mori ◽  
Yoshinori Tsuda

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