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Color confinement and random matrices. A random walk down group manifold toward Casimir scaling
We explain the microscopic origin of linear confinement potential with the Casimir scaling in generic confining gauge theories. In the...
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Implementation of a Quantum Generator of Random Numbers: Extraction of Provably Random Bit Sequences from Correlated Markov Chains
An experimental implementation of a quantum random number generator has been proposed. A new method for the extraction of provably random bit sequences ...
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Random Numbers
As Monte Carlo is a statistical method, the accuracy of its results depends on the number of simulated electron trajectories and on the pseudo-random...
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Emission Spectrum of Random Lasers
In recent years advances in microstructuring techniques have made it possible to manufacture novel mirrorless cavities known as random lasers....
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Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes
In this paper, we consider a generalization of the elephant random walk model. Compared to the usual elephant random walk, an interesting feature of...
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Random Walk on Nonnegative Integers in Beta Distributed Random Environment
We consider random walks on the nonnegative integers in a space-time dependent random environment. We assume that transition probabilities are given...
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Contextuality and Random Variables
ContextualityContextuality is a propertyProperty of systems of random variables. The identity of a random variable in a system is determined by its...
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Wavelength injection locking actively Q-switched random fiber laser based on random phase-shifted fiber Bragg grating and electro-optic modulator
In this paper, an actively Q-switched wavelength injection locking random fiber laser (RFL) based on random phase-shifted fiber Bragg grating...
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Primitivity for random quantum channels
In this paper, we consider the empirical spectrum distribution of the output of an n -fold composition of random quantum channels. As a corollary, we...
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Extremal Properties of Random Structures
The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed...
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Spectral Analysis of Random Networks
We review a general approach that describes the spectra of eigenvalues for random graphs with a local tree-like structure. The exact equations to the...
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The hardness of random quantum circuits
As Moore’s law reaches its limits, quantum computers are emerging that hold promise to dramatically outperform classical computers. It is now...
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Topological random fractals
The search for novel topological quantum states has recently moved beyond naturally occurring crystalline materials to complex and engineered...
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Vibrational spectrum of Granular packings with random matrices
AbstractThe vibrational spectrum of granular packings can be used as a signature of the jamming transition, with the density of states at zero...
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Random Variables and Probability Distributions
In this chapter, after recapitulating the elements of probability theory, we introduce the notion of random variables and probability distribution of...
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New concepts and construction of quantum random number generators
A new concept of a quantum random number generator related to the application of a quantum entanglement to produce several mutually coupled in a...
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Investigation of Random Laser in the Machine Learning Approach
Machine learning and deep learning are computational tools that fall within the domain of artificial intelligence. In recent years, numerous research...
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Robust Nonparametric Generators of Random Variables
A method of constructing consistent and effective algorithms for robust nonparametric generators of random variables is considered for statistical...
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The Random Weierstrass Zeta Function I: Existence, Uniqueness, Fluctuations
We describe a construction of random meromorphic functions with prescribed simple poles with unit residues at a given stationary point process. We...
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Random Tensor Networks with Non-trivial Links
Random tensor networks are a powerful toy model for understanding the entanglement structure of holographic quantum gravity. However, unlike...
