We investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld (BTW) sandpile model on complex networks with general degree distributions. With the threshold height of each node given as its degree in the model, self-organized criticality emerges such that the avalanche size and the duration distribution follow power laws with exponents τ and δ, respectively. Applying the theory of the multip...

SEIR epidemiological models with the inclusion of quarantine and isolation are used to study the control and intervention of infectious diseases. A simple ordinary differential equation (ODE) model that assumes exponential distribution for the latent and infectious stages is shown to be inadequate for assessing disease control strategies. By assuming arbitrarily distributed disease stages, a ge...

This paper considers the weight distributions of binary cyclic codes with one or two zeros and hyper-Kloosterman codes. The results on value distributions of certain monomial exponential sums and connections between exponential sums and Kloosterman sums are applied together with the Pless power moment identity in these conciderations. Explicit formulae for the number of low-weight codewords are...

The theory of exponential dispersion models was applied to construct a stochastic model for heterogeneities in regional organ blood flow as inferred from the deposition of labeled microspheres. The requirements that the dispersion model be additive (or reproductive), scale invariant, and represent a compound Poisson distribution, implied that the relative dispersion (RD = standard deviation/mea...

A new class of local mixture models called local scale mixture models is introduced here. This class is particularly suitable for the analysis of mixtures of the negative exponential distribution. The affine structure revealed by specific asymptotic expansions is the motivation for the construction of these models. They are shown to have very nice statistical properties which are exploited to m...

In this communication, complex systems with a near trivial dynamics are addressed. First, under the hypothesis of equiprobability in the asymptotic equilibrium, it is shown that the (hyper) planar geometry of an N-dimensional multi-agent economic system implies the exponential (Boltzmann-Gibss) wealth distribution and that the spherical geometry of a gas of particles implies the Gaussian (Maxwe...

Let q = 2, 0 ≤ k ≤ n− 1 and k 6= n/2. In this paper we determine the value distribution of following exponential sums

The symmetries described by Pin groups are the result of combining a finite number discrete reflections in (hyper)planes. current work shows how an analysis using geometric algebra provides picture complementary to that classic matrix Lie approach, while retaining information about given transformation. This imposes type graded structure on groups, not evident their representation. Embracing th...