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PEGASUS is a parton-level Monte-Carlo event generator designed to calculate cross sections for a wide range of hard QCD processes at high energy $pp$ and $p\bar p$ collisions, which incorporates the dynamics of transverse momentum dependent…

High Energy Physics - Phenomenology · Physics 2020-05-20 A. V. Lipatov , M. A. Malyshev , S. P. Baranov

In scenarios with limited available data, training the function-to-function neural PDE solver in an unsupervised manner is essential. However, the efficiency and accuracy of existing methods are constrained by the properties of numerical…

Machine Learning · Computer Science 2025-03-12 Rui Zhang , Qi Meng , Rongchan Zhu , Yue Wang , Wenlei Shi , Shihua Zhang , Zhi-Ming Ma , Tie-Yan Liu

Monte Carlo simulations are an essential tool in particle physics data analysis. Events are typically generated alongside weights that redistribute the cross section of the simulated process across the phase space. These weights can be…

High Energy Physics - Phenomenology · Physics 2026-05-13 Benjamin Nachman , Dennis Noll

Equipping the probability space with a local Dirichlet form with square field operator $\Gamma$ and generator $A$ allows to improve Monte Carlo computations of expectations, densities, and conditional expectations, as soon as we are able to…

Probability · Mathematics 2007-05-23 Nicolas Bouleau

MonChER is a Monte Carlo event generator for simulation of single and double charge exchange reactions in proton-proton collisions at energies from 0.9 to 14 TeV. Such reactions, $pp\to n+X$ and $pp\to n+X+n$, are characterized by leading…

High Energy Physics - Phenomenology · Physics 2011-06-13 R. A. Ryutin , A. E. Sobol , V. A. Petrov

An open source software package for simulating thermal neutron propagation in geometry is presented. In this system, neutron propagation can be treated by either the particle transport method or the ray-tracing method. Supported by an…

Computational Physics · Physics 2023-12-05 Zi-Yi Pan , Ni Yang , Ming Tang , Peixun Shen , Xiao-Xiao Cai

We introduce the R package clrng which leverages the gpuR package and is able to generate random numbers in parallel on a Graphics Processing Unit (GPU) with the clRNG (OpenCL) library. Parallel processing with GPU's can speed up…

Computation · Statistics 2024-04-16 Ruoyong Xu , Patrick Brown , Pierre L'Ecuyer

In this paper, we present a probabilistic numerical algorithm combining dynamic programming, Monte Carlo simulations and local basis regressions to solve non-stationary optimal multiple switching problems in infinite horizon. We provide the…

Numerical Analysis · Mathematics 2019-06-04 René Aïd , Luciano Campi , Nicolas Langrené , Huyên Pham

With the recently emerging global interest in building a next generation of circular electron-positron colliders to study the properties of the Higgs boson, and other important topics in particle physics at ultra-high beam energies, it is…

Accelerator Physics · Physics 2015-05-25 Zhe Duan , Mei Bai , Desmond P. Barber , Qing Qin

In this paper, we consider a pseudo-random generator based on the difficulty of the syndrome decoding problem for rank metric codes. We also study the resistance of this problem against a quantum computer. Our results show that with rank…

Cryptography and Security · Computer Science 2016-03-17 Philippe Gaborit , Adrien Hauteville , Jean-Pierre Tillich

Monte Carlo simulations are powerful tools for understanding the effects of radiation interactions within detector devices allowing not only to evaluate typical estimates for experimental measurements and to serve as means for designing…

Instrumentation and Detectors · Physics 2016-02-09 F. Marinho , K. Akiba

Random Number Generators (RNGs) are crucial for applications ranging from cryptography to simulations. Depending on the source of randomness, RNGs are classified into Pseudo-Random Number Generators (PRNGs), True Random Number Generators…

Quantum Physics · Physics 2026-04-02 Anurag K. S. V. , Shubham Chouhan , K. Srinivasan , G. Raghavan , Kanaka Raju P

Perpendicular magnetic tunnel junctions (pMTJs) actuated by nanosecond pulses are emerging as promising devices for true random number generation (TRNG) due to their intrinsic stochastic behavior and high throughput. In this work, we study…

Applied Physics · Physics 2025-06-23 Ahmed Sidi El Valli , Michael Tsao , J. Darby Smith , Shashank Misra , Andrew D. Kent

We present a mixed-precision benchmark called HPL-MxP that uses both a lower-precision LU factorization with a non-stationary iterative refinement based on GMRES. We evaluate the numerical stability of one of the methods of generating the…

Numerical Analysis · Mathematics 2025-09-25 Jack Dongarra , Piotr Luszczek

For the understanding of the origin and propagation of ultra-high energy cosmic rays (UHECR) we developed a new approach to simulating UHECRs from an arbitrary number of sources based on Monte Carlo technique. The method consists of a…

High Energy Astrophysical Phenomena · Physics 2012-02-15 Klaus Dolag , Martin Erdmann , Gero Müller , David Walz , Tobias Winchen

We use a set of Schwinger-Dyson equations for the Ising Model to check several random number generators. For the model in two and three dimensions, it is shown that the equations are sensitive tests of bias originated by the random numbers.…

Condensed Matter · Physics 2008-12-18 H. G. Ballesteros , V. Martin-Mayor

Random numbers sequences (RNSs) play a vital role in various scientific and engineering applications. They are critical to the integrity of classical and quantum cryptography, the accuracy of mathematical modeling and Monte Carlo…

Neutron multiplicity is a key observable in recent neutrino experiments that can enhance the sensitivity of various neutrino physics searches. Nuclear deexcitation plays a significant role in neutron emissions associated with…

High Energy Physics - Experiment · Physics 2025-12-16 Seisho Abe

The Ziggurat Algorithm is a very fast rejection sampling method for generating PseudoRandom Numbers (PRNs) from common statistical distributions. The algorithm divides a distribution into rectangular layers that stack on top of each other…

Mathematical Software · Computer Science 2014-04-22 Christopher D McFarland

Congruential pseudorandom number generators rely on good multipliers, that is, integers that have good performance with respect to the spectral test. We provide lists of multipliers with a good lattice structure up to dimension eight and up…

Data Structures and Algorithms · Computer Science 2021-09-28 Guy Steele , Sebastiano Vigna
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