Results 11 to 20 of about 784,928 (256)
Noncanonical statistics of a spin-boson model: theory and exact Monte Carlo simulations. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2012 Equilibrium canonical distribution in statistical mechanics assumes weak system-bath coupling (SBC). In real physical situations this assumption can be invalid, and equilibrium quantum statistics of the system may be noncanonical.
Chee-Kong Lee, Jianshu Cao, J. Gong
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Exact distribution of spacing ratios for random and localized states in quantum chaotic systems. [PDF]
Physical Review E, 2017 Typical eigenstates of quantum systems, whose classical limit is chaotic, are well approximated as random states. Corresponding eigenvalue spectra are modeled through an appropriate ensemble described by random matrix theory.
S. H. Tekur +2 more
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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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Full statistics of nonstationary heat transfer in the Kipnis–Marchioro–Presutti model [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2022 We investigate non-stationary heat transfer in the Kipnis–Marchioro–Presutti (KMP) lattice gas model at long times in one dimension when starting from a localized heat distribution.
E. Bettelheim +2 more
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On the distribution of a random variable involved in an independent ratio [PDF]
Communications in Statistics - Theory and Methods, 2023 . In this article, using inverse integral transforms, we derive the exact distribution of the random variable X that is involved in the ratio Z=dX/(X+Y) where X and Y are independent random variables having the same support, and Z and Y have known ...
R. Vila, N. Balakrishnan, M. Bourguignon
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"Building" exact confidence nets [PDF]
, 2016 Confidence nets, that is, collections of confidence intervals that fill out the parameter space and whose exact parameter coverage can be computed, are familiar in nonparametric statistics.
Francis, Andrew R. +2 more
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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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Model of contact friction based on extreme value statistics
Friction, 2018 We propose a model based on extreme value statistics (EVS) and combine it with different models for single-asperity contact, including adhesive and elasto-plastic contacts, to derive a relation between the applied load and the friction force on a rough ...
A. Malekan, S. Rouhani
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Statistics of conductance and shot-noise power for chaotic cavities [PDF]
, 2007 We report on an analytical study of the statistics of conductance, $g$, and shot-noise power, $p$, for a chaotic cavity with arbitrary numbers $N_{1,2}$ of channels in two leads and symmetry parameter $\beta = 1,2,4$.
Savin, D. V. +2 more
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