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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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Methodological challenges to evaluating the health economic impact of nutritional interventions

World Nutrition, 2019
Enhancing the diet by increasing or decreasing consumption of selected foods or nutrients is a well-accepted method of improving population health in certain settings.
Jordana Kate Schmier, Ellen T Chang
doaj   +1 more source

The Critical Exponent is Computable for Automatic Sequences

, 2011
The critical exponent of an infinite word is defined to be the supremum of the exponent of each of its factors. For k-automatic sequences, we show that this critical exponent is always either a rational number or infinite, and its value is computable ...
A. Cobham, A. Cobham, D. Krieger, D. Krieger, D. Krieger, D. Krieger, F. Mignosi, G. Paun, J. D. Currie, J. Shallit, J.-P. Allouche, J.-P. Allouche, J.-P. Allouche, Jeffrey Shallit, M. Kunze, Petr Ambrož, Y. Bugeaud, Zuzana Masáková, Štěpán Holub   +18 more
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Finite-time braiding exponents [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015
Topological entropy of a dynamical system is an upper bound for the sum of positive Lyapunov exponents; in practice, it is strongly indicative of the presence of mixing in a subset of the domain. Topological entropy can be computed by partition methods, by estimating the maximal growth rate of material lines or other material elements, or by counting ...
Marko Budišić, Jean-Luc Thiffeault
openaire   +4 more sources

On Hurst exponent estimation under heavy-tailed distributions

, 2012
In this paper, we show how the sampling properties of the Hurst exponent methods of estimation change with the presence of heavy tails. We run extensive Monte Carlo simulations to find out how rescaled range analysis (R/S), multifractal detrended ...
Alessio, Alvarez-Ramirez, Alvarez-Ramirez, Anis, Barkoulas, Beran, C, Carbone, Chambers, Cont, Couillard, Czarnecki, Di Matteo, Di Matteo, Di Matteo, Einstein, Ellis, Grech, Grech, Hurst, Jozef Barunik, Kantelhardt, Ladislav Kristoufek, Lillo, Mandelbrot, Mandelbrot, Matos, Menn, Mielniczuk, Peters, Samorodnitsky, Taqqu, Taqqu, Weron, Weron, Zolotarev   +35 more
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Variable exponent Fock spaces [PDF]

Czechoslovak Mathematical Journal, 2019
In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Chacón, Gerardo R., Chacón, Gerardo A.
openaire   +3 more sources

Detecting the Temporal Scaling Behavior of the Normalized Difference Vegetation Index Time Series in China Using a Detrended Fluctuation Analysis

Remote Sensing, 2015
Vegetation is an important part of terrestrial ecosystems. Although vegetation dynamics have explicit spatial and temporal dimensions, the study of the temporal process is in its infancy.
Xiaoyi Guo, Hongyan Zhang, Tao Yuan, Jianjun Zhao, Zhenshan Xue   +4 more
doaj   +1 more source

Delay-Exponent of Bilayer Anytime Code

, 2014
In this paper, we study the design and the delay-exponent of anytime codes over a three terminal relay network. We propose a bilayer anytime code based on anytime spatially coupled low-density parity-check (LDPC) codes and investigate the anytime ...
Lechner, Gottfried, Nguyen, Khoa D., Noor-A-Rahim, Md.   +2 more
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Group-theoretic algorithms for matrix multiplication [PDF]

, 2005
We further develop the group-theoretic approach to fast matrix multiplication introduced by Cohn and Umans, and for the first time use it to derive algorithms asymptotically faster than the standard algorithm.
Cohn, Henry, Kleinberg, Robert, Szegedy, Balazs, Umans, Christopher   +3 more
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Ljapunov Exponents, Hyperchaos and Hurst Exponent

Zeitschrift für Naturforschung A, 2005
Abstract We consider nonlinear dynamical systems with chaotic and hyperchaotic behaviour.We investigate the behaviour of the Hurst exponent at the transition from chaos to hyperchaos. A two-dimensional coupled logistic map is studied.
Willi-Hans Steeb, Eugenio Cosme Andrieu
openaire   +1 more source