Modeling random walkers on growing random networks
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.121117
Abstract: Abstract We present continuum models that describe the evolution of the position of a random walker on a growing network using four different growth algorithms. Three of these involve a random element, including one in… read more here.
Keywords: growing random; random networks; random walkers; walkers growing ... See more keywords
Distribution of shortest cycle lengths in random networks.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.062307
Abstract: We present analytical results for the distribution of shortest cycle lengths (DSCL) in random networks. The approach is based on the relation between the DSCL and the distribution of shortest path lengths (DSPL). We apply… read more here.
Keywords: random networks; cycle lengths; cycle; distribution shortest ... See more keywords
Multifractality in random networks with power-law decaying bond strengths.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.042303
Abstract: In this paper we demonstrate numerically that random networks whose adjacency matrices A are represented by a diluted version of the power-law banded random matrix (PBRM) model have multifractal eigenfunctions. The PBRM model describes one-dimensional… read more here.
Keywords: model; random networks; power law; network ... See more keywords
Spectra of random networks with arbitrary degrees
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.042309
Abstract: We derive a message-passing method for computing the spectra of locally treelike networks and an approximation to it that allows us to compute closed-form expressions or fast numerical approximates for the spectral density of random… read more here.
Keywords: random networks; spectra random; networks arbitrary; arbitrary degrees ... See more keywords
How fast do quantum walks mix?
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.124.050501
Abstract: The fundamental problem of sampling from the limiting distribution of quantum walks on networks, known as mixing, finds widespread applications in several areas of quantum information and computation. Of particular interest in most of these… read more here.
Keywords: random networks; time; quantum mixing; mixing time ... See more keywords
Asymptotic Degree Distributions in Large (Homogeneous) Random Networks: A Little Theory and a Counterexample
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Network Science and Engineering"
DOI: 10.1109/tnse.2019.2938916
Abstract: In random graph models, the degree distribution of an individual node should be distinguished from the (empirical) degree distribution of the graph that records the fractions of nodes with given degree. We introduce a general… read more here.
Keywords: random networks; degree distributions; homogeneous random; random ... See more keywords
Saturation in Regular, Exotic and Random Pore Networks
Sign Up to like & getrecommendations! Published in 2018 at "Fluctuation and Noise Letters"
DOI: 10.1142/s0219477518500244
Abstract: Porcolation simulations were carried out on various networks: both regular and irregular. The saturation curve was obtained for cubic networks, localized and completely random 3D networks and networks based on exotic graphs like Sierpiński triangle… read more here.
Keywords: random networks; regular exotic; saturation regular; exotic random ... See more keywords
Extreme Value Statistics for Evolving Random Networks
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11092171
Abstract: Our objective is to survey recent results concerning the evolution of random networks and related extreme value statistics, which are a subject of interest due to numerous applications. Our survey concerns the statistical methodology but… read more here.
Keywords: value statistics; evolving random; extreme value; random networks ... See more keywords