Results 11 to 20 of about 620,813 (298)
Journal of Physics A: Mathematical and Theoretical, 2019 Abstract Many physical processes result in very uneven, apparently random, distributions of matter, characterised by fluctuations of the local density varying over orders of magnitude. The density of matter in the sparsest regions can have a power-law distribution, with an exponent that we term the
Michael Wilkinson +3 more
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On the exponent of discrepancies [PDF]
Mathematics of Computation, 2009 The authors study various B-discrepancies in the \(L_2\)-norm and improve some previously established bounds for some exponents of discrepancies.
Grzegorz W. Wasilkowski +1 more
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Antisquares and Critical Exponents
Discrete Mathematics & Theoretical Computer Science, 2023 The (bitwise) complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. An $\textit{antisquare}$ is a nonempty word of the form $x\, \overline{x}$. In this paper, we study infinite binary words that do not contain arbitrarily large antisquares.
Aseem R. Baranwal +5 more
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Combinatorics of Generalized Exponents [PDF]
International Mathematics Research Notices, 2018 Abstract We give a purely combinatorial proof of the positivity of the stabilized forms of the generalized exponents associated to each classical root system. In finite type $A_{n-1}$, we rederive the description of the generalized exponents in terms of crystal graphs without using the combinatorics of semistandard tableaux or the charge
Lecouvey, Cédric, Lenart, Cristian
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Recurrence and Lyapunov Exponents [PDF]
Moscow Mathematical Journal, 2003 We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.
Saussol, B. +2 more
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BioMedical Engineering OnLine, 2018 Background Air ions are molecules of air that have become ionized—that is, they have either lost or gained an electrical charge. Past speculation has suggested that exposure to positive air ions may be harmful to one’s health, while exposure to negative ...
William H. Bailey +2 more
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Japan Architectural Review, 2023 An engineering judgment is often used to determine the exponent of the verification formula for combined stresses applied to moment‐resisting joints using drift‐pins. In this study, the exponent was determined based on a mechanical model.
Ryuki Odani +2 more
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Asymptotic tensor rank of graph tensors: beyond matrix multiplication [PDF]
, 2019 We present an upper bound on the exponent of the asymptotic behaviour of the tensor rank of a family of tensors defined by the complete graph on $k$ vertices.
Christandl, Matthias +2 more
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Estimating Loynes’ exponent [PDF]
Queueing Systems, 2011 Loynes' distribution, which characterizes the one dimensional marginal of the stationary solution to Lindley's recursion, possesses an ultimately exponential tail for a large class of increment processes. If one can observe increments but does not know their probabilistic properties, what are the statistical limits of estimating the tail exponent of ...
Ken R. Duffy, Sean P. Meyn
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