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Random matrix theory for complexity growth and black hole interiors
Published 2022-01-01“…In the dual gravity setting, we comment on the empirical match between our version of K-complexity and the maximal volume proposal, and speculate on a connection between the universal random matrix theory dynamics of operator growth after scrambling and the spatial translation symmetry of smooth black hole interiors.…”
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62
Random matrix theory for complexity growth and black hole interiors
Published 2022“…In the dual gravity setting, we comment on the empirical match between our version of K-complexity and the maximal volume proposal, and speculate on a connection between the universal random matrix theory dynamics of operator growth after scrambling and the spatial translation symmetry of smooth black hole interiors.…”
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63
High dimensional independence test based on random matrix theory
Published 2013“…This thesis is concerned about statistical inference for high dimensional data based on large dimensional random matrix theory, especially, independence tests for high dimensional data.…”
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Thesis -
64
Random matrix theory of multi-antenna communications: the Ricean channel
Published 2005“…The mathematical method applies tools developed originally in the context of coherent wave propagation in disordered media, such as random matrix theory and replicas. Although it is valid formally for large antenna numbers, this approach produces extremely accurate results even for arrays with as few as two antennas. …”
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A Mathematica-based CAL matrix-theory tutor for scientists and engineers
Published 1993-12-01“…The aim of the joint project is to maintain – even increase - the number of students enrolling on such first-year courses without lowering the courses' existing mathematical standards. A CAL tutor for matrix theory is presented in this paper, in the form of Mathematica Notebooks. …”
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68
Variability in mRNA translation: a random matrix theory approach
Published 2021-03-01“…We develop a new theoretical framework for addressing this question by modeling the rates as identically and independently distributed random variables and using tools from random matrix theory to analyze the steady-state production rate. …”
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69
Analysis of Collective Behavior of Iran Banking Sector by Random Matrix Theory
Published 2019-10-01Subjects: Get full text
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70
Random Matrix Theory and the Evolution of Business Cycle Synchronisation, 1886–2006
Published 2008-04-01Get full text
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71
Uncovering functional signature in neural systems via random matrix theory.
Published 2019-05-01“…Here we present a novel method, based on random matrix theory, for the identification of sign-dependent modules in the brain. …”
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72
Spin Matrix theory string backgrounds and Penrose limits of AdS/CFT
Published 2021-03-01“…Abstract Spin Matrix theory (SMT) limits provide a way to capture the dynamics of the AdS/CFT correspondence near BPS bounds. …”
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Random Matrix Theory Predictions of Dominant Mode Rejection Beamformer Performance
Published 2022-01-01Subjects: Get full text
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74
A Random Matrix Theory Approach to Denoise Single-Cell Data
Published 2020-06-01Subjects: Get full text
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75
Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory
Published 2018-06-01“…A key goal of quantum chaos is to establish a relationship between widely observed universal spectral fluctuations of clean quantum systems and random matrix theory (RMT). Most prominent features of such RMT behavior with respect to a random spectrum, both encompassed in the spectral pair correlation function, are statistical suppression of small level spacings (correlation hole) and enhanced stiffness of the spectrum at large spectral ranges. …”
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76
Asymptotics, exact results, and analogies in p-adic random matrix theory
Published 2023“…Many of the results of both types are motivated and guided by analogies to existing results in classical random matrix theory over R, C or H, but often exhibit probabilistic behaviors which differ markedly from these known cases. …”
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77
Freezing transitions and extreme values: random matrix theory, and disordered landscapes
Published 2014Journal article -
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Fisher-Hartwig asymptotics and log-correlated fields in random matrix theory
Published 2023Subjects: “…Random Matrix Theory…”
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Methods for the Evaluation of the Stochastic Properties of the Ionosphere for Earthquake Prediction—Random Matrix Theory
Published 2019-07-01“…Two main approaches are described: auto-correlation and random matrix theory treatments of amplitude time series data. …”
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Article