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Even if the output of a Random Number Generator (RNG) is perfectly uniformly distributed, it may be correlated to pre-existing information and therefore be predictable. Statistical tests are thus not sufficient to guarantee that an RNG is…

Quantum Physics · Physics 2013-11-20 Daniela Frauchiger , Renato Renner , Matthias Troyer

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

Optimization and Control · Mathematics 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

The hyperbolic Anosov C-systems have a countable set of everywhere dense periodic trajectories which have been recently used to generate pseudorandom numbers. The asymptotic distribution of periodic trajectories of C-systems with periods…

Chaotic Dynamics · Physics 2016-12-12 Andrzej Görlich , Marios Kalomenopoulos , Konstantin Savvidy , George Savvidy

This paper has a practical aim. For a long time, implementations of pseudorandom number generators in standard libraries of programming languages had poor quality. The situation started to improve only recently. Up to now, a large number of…

Mathematical Software · Computer Science 2020-04-21 Migran N. Gevorkyan , Dmitry S. Kulyabov , Anastasia V. Demidova , Anna V. Korolkova

Stochastic simulations are often sensitive to the source of randomness that character-izes the statistical quality of their results. Consequently, we need highly reliable Random Number Generators (RNGs) to feed such applications. Recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Jonathan Passerat-Palmbach , David Hill

The heart of every Monte Carlo simulation is a source of high quality random numbers and the generator has to be picked carefully. Since the ``Ferrenberg affair'' it is known to a broad community that statistical tests alone do not suffice…

Statistics Theory · Mathematics 2007-06-13 Mario Ruetti , Matthias Troyer , Wesley P. Petersen

The library RNGSSELIB for random number generators (RNGs) based upon the SSE2 command set is presented. The library contains realization of a number of modern and most reliable generators. Usage of SSE2 command set allows to substantially…

Computational Physics · Physics 2011-04-19 L. Yu. Barash , L. N. Shchur

Recently the collider physics community has seen significant advances in the formalisms and implementations of event generators. This review is a primer of the methods commonly used for the simulation of high energy physics events at…

We shall review the cellular automaton(CA)-based pseudorandom-number generators (PRNGs), and show that one of these PRNGs can generate high-quality random numbers which can pass all of the statistical tests provided by the National…

Chaotic Dynamics · Physics 2007-05-23 Song-Ju Kim , Ken Umeno

Monte Carlo event generators are central to high-energy physics analysis. However, workflows based on handwritten scripts can be difficult to reuse, modify, and reproduce when multiple Monte Carlo models, tune variations, run variations,…

High Energy Physics - Phenomenology · Physics 2026-05-19 Rishabh Gupta , Kangkan Goswami , Suraj Prasad , Raghunath Sahoo

The goal of this project is to design a digital dice that displays dice numbers in real-time. The number is generated by a pseudo-random number generator (PRNG) using XORshift algorithm that is implemented in Verilog HDL on an FPGA. The…

Cryptography and Security · Computer Science 2024-05-02 Michael Lim Kee Hian , Ten Wei Lin , Zachary Wu Xuan , Stephanie-Ann Loy , Maoyang Xiang , T. Hui Teo

We present a new version of TRQS package for Mathematica computing system. The package allows harnessing quantum random number generators (QRNG) for investigating the statistical properties of quantum states. It implements a number of…

Computational Physics · Physics 2012-10-15 J. A. Miszczak

We show that the latest version of massively parallel processing associative string processing architecture (System-V) is applicable for fast Monte Carlo simulation if an effective on-processor random number generator is implemented. Our…

Computational Physics · Physics 2016-11-15 G. Odor , A. Krikelis , F. Vesztergombi , F. Rohrbach

The library PRAND for pseudorandom number generation for modern CPUs and GPUs is presented. It contains both single-threaded and multi-threaded realizations of a number of modern and most reliable generators recently proposed and studied in…

Computational Physics · Physics 2014-02-18 L. Yu. Barash , L. N. Shchur

Marsaglia proposed recently xorshift generators as a class of very fast, good-quality pseudorandom number generators. Subsequent analysis by Panneton and L'Ecuyer has lowered the expectations raised by Marsaglia's paper, showing several…

Data Structures and Algorithms · Computer Science 2016-10-14 Sebastiano Vigna

This paper focuses on the design and implementation of a high-quality and high-throughput true-random number generator (TRNG) in FPGA. Various practical issues which we encountered are highlighted and the influence of the various parameters…

Cryptography and Security · Computer Science 2009-06-26 Cristian Klein , Octavian Cret , Alin Suciu

Histogram-based template fits are the main technique used for estimating parameters of high energy physics Monte Carlo generators. Parametrized neural network reweighting can be used to extend this fitting procedure to many dimensions and…

High Energy Physics - Phenomenology · Physics 2021-04-08 Anders Andreassen , Shih-Chieh Hsu , Benjamin Nachman , Natchanon Suaysom , Adi Suresh

Pulsars exhibit signals with precise inter-arrival times that are on the order of milliseconds to seconds, depending on the individual pulsar. There are subtle variations in the timing of pulsar signals. We show that these variations can…

Cryptography and Security · Computer Science 2025-04-24 Hayder Tirmazi

Revisions are almost entirely in the introduction and conclusion. Results are unchanged, however the comments and recommendations on different generators were changed, and more references were added.

Condensed Matter · Physics 2009-10-22 P. D. Coddington

Designing a pseudorandom number generator (PRNG) is a difficult and complex task. Many recent works have considered chaotic functions as the basis of built PRNGs: the quality of the output would indeed be an obvious consequence of some…

Cryptography and Security · Computer Science 2017-03-08 Sylvain Contassot-Vivier , Jean-François Couchot , Christophe Guyeux , Pierre-Cyrille Heam
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