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Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field [PDF]
Journal of High Energy Physics, 2021 AbstractWe derive a general exact form of the phase space distribution function and the thermal expectation values of local operators for the free quantum scalar field at equilibrium with rotation and acceleration in flat space-time without solving field equations in curvilinear coordinates. After factorizing the density operator with group theoretical
Palermo A., Buzzegoli M., Becattini F.
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Exact Permutation and Bootstrap Distribution of Generalized Pairwise Comparisons Statistics
Mathematics, 2023 To analyze multivariate outcomes in clinical trials, several authors have suggested generalizations of the univariate Mann–Whitney test. As the Mann–Whitney statistic compares the subjects’ outcome pairwise, the multivariate generalizations are known as ...
William N. Anderson, Johan Verbeeck
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Conditional Inference in Small Sample Scenarios Using a Resampling Approach
Stats, 2021 This paper discusses a non-parametric resampling technique in the context of multidimensional or multiparameter hypothesis testing of assumptions of the Rasch model.
Clemens Draxler, Andreas Kurz
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Quantum Heat Statistics with Time-Evolving Matrix Product Operators
PRX Quantum, 2021 We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator algorithm. This approach is applied to the paradigmatic spin-
Maria Popovic +5 more
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On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength
Journal of MMIJ, 2020 Time dependence, probability distribution, and size effect have been investigated by many researchers and are still important issues in rock engineering.
Kimihiro HASHIBA, Katsunori FUKUI
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Advanced Engineering Research, 2023 Introduction. The article studies the problem of validating the specified levels of reliability during experimental development of a complex technical series system. Such tasks arise when it is required to make a decision on testing the system as part of
O. Yu. Tsarev, Yu. A. Tsarev
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Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
SciPost Physics, 2020 We study the out-of-equilibrium properties of a classical integrable non-relativistic theory, with a time evolution initially prepared with a finite energy density in the thermodynamic limit.
Giuseppe Del Vecchio Del Vecchio, Alvise Bastianello, Andrea De Luca, Giuseppe Mussardo
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Extreme-value statistics of stochastic transport processes
New Journal of Physics, 2020 We derive exact expressions for the finite-time statistics of extrema (maximum and minimum) of the spatial displacement and the fluctuating entropy flow of biased random walks.
Alexandre Guillet +2 more
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Statistical Mechanics of Deep Linear Neural Networks: The Backpropagating Kernel Renormalization
Physical Review X, 2021 The groundbreaking success of deep learning in many real-world tasks has triggered an intense effort to theoretically understand the power and limitations of deep learning in the training and generalization of complex tasks, so far with limited progress.
Qianyi Li, Haim Sompolinsky
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Random sets and exact confidence regions [PDF]
, 2013 An important problem in statistics is the construction of confidence regions for unknown parameters. In most cases, asymptotic distribution theory is used to construct confidence regions, so any coverage probability claims only hold approximately, for ...
Martin, Ryan
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