Concept

Power law

Related publications (154)

Sample and population exponents of generalized Taylor's law

Andrea Rinaldo, Andrea Giometto, Amos Maritan

Taylor's law (TL) states that the variance V of a nonnegative random variable is a power function of its mean M; i.e., V = aM(b). TL has been verified extensively in ecology, where it applies to population abundance, physics, and other natural sciences. It ...

Natl Acad Sciences2015

Matrix-product-operator approach to the nonequilibrium steady state of driven-dissipative quantum arrays

Vincenzo Savona, Hugo Pierre Alexandre Flayac, Eduardo Carlo Mascarenhas Moraes

We develop a numerical procedure to efficiently model the nonequilibrium steady state of one-dimensional arrays of open quantum systems based on a matrix-product operator ansatz for the density matrix. The procedure searches for the null eigenvalue of the ...

American Physical Society2015

Architecture and characterization of a calibrator for PMUs operating in power distribution systems

Mario Paolone, Paolo Romano, Marco Pignati, Lorenzo Zanni, Daniele Colangelo, Jean-Pierre Braun

In recent years, the Phasor Measurement Unit (PMU) technology is rapidly evolving towards the potential deployment also in power distribution systems (DSs). In general, this specific field of applications requires PMUs whose accuracy levels are beyond thos ...

IEEE2015

Exploration of the Complex Similarity of Urban System Components

Matthieu Marie Cochon de Lapparent

Similar to countless natural phenomena, cities have inherent orders that can be properly captured and expressed through a complex analysis of their components. Using Geographic Information Systems (GIS), this work offers a ring-buffer fractal approach to a ...

2015

A New Convergence Proof For The Higher-Order Power Method And Generalizations

André Uschmajew

A proof for the point-wise convergence of the factors in the higher-order power method for tensors towards a critical point is given. It is obtained by applying established results from the theory of Lojasiewicz inequalities to the equivalent, unconstraine ...

Yokohama Publ2015

Scour depth under pipelines placed on weakly cohesive soils

We here study the scouring processes that evolve around a submarine pipeline placed on a weakly cohesive seabed. We first analyze some laboratory tests carried out by Vijaya Kumar et al. [21], Xu et al. [25] and Zhou et al. [28] that focused on the scourin ...

Elsevier Sci Ltd2015

Plug-and-play state estimation and application to distributed output-feedback model predictive control

Giancarlo Ferrari Trecate, Marcello Farina

In this paper we propose a novel distributed state estimator for large-scale linear systems composed by subsystems interacting through state variables. The distributed state estimator has the following features: (i) local state estimators, each dedicated t ...

2015

Analyzing Variation in Street Patterns: Implications for Urban Planning

Nahid Mohajeri Pour Rayeni

The morphology of street patterns has been the subject of many studies in recent decades. While some have noted the textural and morphological differences in various parts of many cities, there have been few attempts to quantify the street patterns that co ...

2014

New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains

Marius Christopher Lemm

We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson (LR) bound for an isotropic XY chain in a quasiperiodic transversal magnetic field. Instead of the usual effective light cone |x|≤v|t|, we obtain |x|≤v|t| ...

2014

Quantifying the Differences in Geometry and Size Distributions of Buildings Within Cities

Nahid Mohajeri Pour Rayeni

There have been many studies on the spatial configuration of cities, but few attempts to quantify the difference in building patterns between the old and new parts of cities. This may be partly attributable to lack of suitable study methods. This paper pre ...

Kim Williams Books2014

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