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Precise Asymptotics for a Variable-Range Hopping Model [PDF]
Progress of Theoretical Physics Supplement, 2007 For a system of localised electron states the DC conductivity vanishes at zero temperature, but localised electrons can conduct at finite temperature. Mott gave a theory for the low-temperature conductivity in terms of a variable-range hopping model, which is hard to analyse. Here we give precise asymptotic results for a modified variable-range hopping
Mehlig, B., Wilkinson, M.
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Precise Asymptotics in the Law of Iterated Logarithm for Moving Average Process under Dependence
Journal of Inequalities and Applications, 2011 Let be a doubly infinite sequence of identically distributed and -mixing random variables, and let be an absolutely summable sequence of real numbers.
Li Jie
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On the third critical field in Ginzburg-Landau theory [PDF]
, 2005 Using recent results by the authors on the spectral asymptotics of the Neumann Laplacian with magnetic field, we give precise estimates on the critical field, $H_{C_3}$, describing the appearance of superconductivity in superconductors of type II ...
A. Bernoff +25 more
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Physical resurgent extrapolation
Physics Letters B, 2020 Expansions of physical functions are controlled by their singularities, which have special structure because they themselves are physical, corresponding to instantons, caustics or saddle configurations.
Ovidiu Costin, Gerald V. Dunne
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The Scientific World Journal, 2014 The exponential inequality for weighted sums of a class of linearly negative quadrant dependent random variables is established, which extends and improves the corresponding ones obtained by Ko et al. (2007) and Jabbari et al. (2009).
Guodong Xing, Shanchao Yang
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Journal of Inequalities and Applications, 2016 We assume that X k = ∑ i = − ∞ + ∞ a i ξ i + k $X_{k}=\sum_{i=-\infty}^{+\infty}a_{i}\xi_{i+k}$ is a moving average process and { ξ i , − ∞ < i < + ∞ } $\{\xi_{i},-\infty ...
Yayun Zhang, Qunying Wu
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On the Exit Time of a Random Walk with Positive Drift [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We study a random walk with positive drift in the first quadrant of the plane. For a given connected region $\mathcal{C}$ of the first quadrant, we analyze the number of paths contained in $\mathcal{C}$ and the first exit time from $\mathcal{C}$.
Michael Drmota, Wojciech Szpankowski
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Time correlations for the parabolic Anderson model [PDF]
, 2011 We derive exact asymptotics of time correlation functions for the parabolic Anderson model with homogeneous initial condition and time-independent tails that decay more slowly than those of a double exponential distribution and have a finite cumulant ...
Gärtner, Jürgen, Schnitzler, Adrian
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Asymptotically safe gravitons in electroweak precision physics [PDF]
The European Physical Journal C, 2011 Published version; added references and additional minor changes including ...
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Beyond the thermodynamic limit: finite-size corrections to state interconversion rates [PDF]
Quantum, 2018 Thermodynamics is traditionally constrained to the study of macroscopic systems whose energy fluctuations are negligible compared to their average energy.
Christopher T. Chubb +2 more
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