Polar Functions for Anisotropic Gaussian Random Fields by Zhenlong Chen

“…Let X be an (N, d)-anisotropic Gaussian random field. Under some general conditions on X, we establish a relationship between a class of continuous functions satisfying the Lipschitz condition and a class of polar functions of X. …”
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On Lacunary Ideal Convergence in Random -Normed Space by U. Yamancı, M. Gürdal

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On the One Dimensional Poisson Random Geometric Graph by L. Decreusefond, E. Ferraz

“…Given a Poisson process on a bounded interval, its random geometric graph is the graph whose vertices are the points of the Poisson process, and edges exist between two points if and only if their distance is less than a fixed given threshold. …”
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Adaptive Maximums of Random Variables for Network Simulations by Rong Nan Chiou, Chia-Nian Shyi

“…In order to enhance the precision of network simulations, the paper proposes an approach to adaptively decide the maximum of random variables that create the discrete probabilities to generate nodal traffic on simulated networks. …”
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The law of the iterated logarithm for exchangeable random variables by Hu-Ming Zhang, Robert L. Taylor

Subjects: “…exchangeable sequence of random variables.…”
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On multiple-particle continuous-time random walks by Peter Becker-Kern, Hans-Peter Scheffler

“…Scaling limits of continuous-time random walks are used in physics to model anomalous diffusion in which particles spread at a different rate than the classical Brownian motion. …”
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Insider Trading with Memory under Random Deadline by Kai Xiao, Yonghui Zhou

“…In this paper, we study a model of continuous-time insider trading in which noise traders have some memories and the trading stops at a random deadline. By a filtering theory on fractional Brownian motion and the stochastic maximum principle, we obtain a necessary condition of the insider’s optimal strategy, an equation satisfied. …”
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Localization in the random XXZ quantum spin chain by Alexander Elgart, Abel Klein

“…We study the many-body localization (MBL) properties of the Heisenberg XXZ spin- $\frac 12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space. …”
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Application of random forest in big data completion by Zheng WANG, Hua REN, Yanping FANG

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Random processes with convex coordinates on triangular graphs by J. N. Boyd, P. N. Raychowdhury

Subjects: “…random walk…”
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Random trilinear forms and the Schur multiplication of tensors by Ibrahim Almasri, Jinlu Li, Andrew Tonge

Subjects: “…Random tensors…”
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Link quality prediction based on random forest by Linlan LIU, Shengrong GAO, Jian SHU

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Complete convergence for sums of arrays of random elements by Soo Hak Sung

“…Let {Xni} be an array of rowwise independent B-valued random elements and {an} constants such that 0<an↑∞. …”
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The definition of one complex-valued random variable by Antanas Laurinčikas

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Quantum and Classical Dynamics with Random Permutation Circuits by Bruno Bertini, Katja Klobas, Pavel Kos, Daniel Malz

“…Here, we study this question in minimally structured many-body systems that are only constrained to have local interactions, i.e., local random circuits. In particular, we introduce random permutation circuits (RPCs), which are circuits comprising gates that locally permute basis states, as a counterpart to random unitary circuits (RUCs), a standard toy model for generic quantum dynamics. …”
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Fitts Law as a Restrained Random Walk by Villermaux, Emmanuel

“…We provide here a new interpretation of this law, not invoking a discretization of space and time as in the original information theory representation of Fitts, but involving a simple restrained random walk on a continuum, in space and time. We not only predict that the pointing time is proportional to the logarithm of the starting distance relative to the target size (which is Fitts law), but also describe the complete probability of presence of the pointer in its route to destination. …”
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Some results on uncorrelated dependent random variables by Ali Dolati, Mohammad Amini, G. R. Mohtashami Borzadaran

“…It is well known that a pair of independent random variables are uncorrelated‎, ‎but uncorrelated random variables may or may not be independent‎.‎The aim of this paper is to provide some new models for the joint distribution of the uncorrelated random variables that are not independent. ‎…”
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Reliability Analysis of Random Fuzzy Unrepairable Systems by Ying Liu, Xiaozhong Li, Jianbin Li

“…The lifetimes of components in unrepairable systems are considered as random fuzzy variables since randomness and fuzziness are often merged with each other. …”
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On the normal approximation for weakly dependent random variables by Jonas Sunklodas

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Modelling random antibody adsorption and immunoassay activity by D. Mackey, E. Kelly, R. Nooney

Subjects: “…random sequential adsorption…”
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