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Clusters of solutions and replica symmetry breaking in random k-satisfiability
Random formula decomposition quantity index
2015/8/21
We study the set of solutions of random k-satisfiability formulae through the cavity method. It is known that, for an interval of the clause-to-variables ratio, this decomposes into an exponenti...
Capturing strain localization in dense sands with random density
strain localization random density granular materials
2015/7/1
This paper presents a three-invariant constitutive framework suitable for the numerical analyses of localization instabilities in granular materials exhibiting unstructured random density. A recently ...
Culturomics meets random fractal theory: Insights into long-range correlations of social and natural phenomena over the past two centuries
Culturomics meets random fractal theory Insights long-range correlations social natural phenomena two centuries
2012/2/27
Culturomics was recently introduced as the application of high-throughput data collection and analysis to the study of human culture. Here we make use of this data by investigating fluctuations in yea...
Random Geometry, Quantum Gravity and the Kahler Potential
Random Geometry Quantum Gravity the Kahler Potential Statistical Mechanics
2011/10/9
Abstract: We propose a new method to define theories of random geometries, using an explicit and simple map between metrics and large hermitian matrices. We outline some of the many possible applicati...
Design of piezoelectric energy harvesting devices subjected to broadband random vibrations by applying topology optimization
Topology optimization Energy harvesting Piezoelectric material
2012/2/29
Converting ambient vibration energy into electrical energy by using piezoelectric energy harvester has attracted a lot of interest in the past few years. In this paper, a topology optimization based m...
On mean square displacement behaviors of anomalous diffusions with variable and random orders
Anomalous diffusion Mean square displacement Variable-order diffusion model Random-order model
2010/10/22
Mean square displacement (MSD) is used to characterize anomalous diffusion. Recently, models of anomalous diffusion with variable-order and random-order were proposed, but no MSD analysis has been giv...
Response of plates under statistically unsynchronized uniform random loads using Monte-Carlo simulation
unsynchronized random fatigue life
2010/3/11
Classic solutions of the responses of plates subjected to uniform random pressure are generally confined to simple boundary conditions where the assumed mode shape solutions are known. Even in those s...