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Review of High-Quality Random Number Generators
This is a review of pseudorandom number generators (RNG’s) of the highest quality, suitable for use in the most demanding Monte Carlo calculations....
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Maximally Chaotic Dynamical Systems of Anosov–Kolmogorov
AbstractThe maximally chaotic K-systems are dynamical systems which have nonzero Kolmogorov entropy. On the other hand, the hyperbolic dynamical...
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Sampling
In the situation where the training is performed, it is assumed that the input data is given by a probability distribution. It is often necessary to...
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Artin Billiard: Exponential Decay of Correlation Functions
The hyperbolic Anosov C-systems have an exponential instability of their trajectories and as such represent the most natural chaotic dynamical...
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Detector Simulation
This chapter provides an overview of particle and radiation transport simulation, as it is used in the simulation of detectors in High Energy and...
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GeantV
Full detector simulation was among the largest CPU consumers in all CERN experiment software stacks for the first two runs of the Large Hadron...
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Anosov C-systems and random number generators
We further develop our previous proposal to use hyperbolic Anosov C-systems to generate pseudorandom numbers and to use them for efficient Monte...
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A differential operator for integrating one-loop scattering equations
We propose a differential operator for computing the residues associated with a class of meromorphic n -forms that frequently appear in the...