Results 1 to 10 of about 30,245 (117)
Structure of a large social network [PDF]
We study a social network consisting of over $10^4$ individuals, with a degree distribution exhibiting two power scaling regimes separated by a critical degree $k_{\rm crit}$, and a power law relation between degree and local clustering. We introduce a growing random model based on a local interaction mechanism that reproduces all of the observed ...
Csanyi, G., Szendröi, B.
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Responses in large-scale structure [PDF]
We introduce a rigorous definition of general power-spectrum responses as resummed vertices with two hard and $n$ soft momenta in cosmological perturbation theory. These responses measure the impact of long-wavelength perturbations on the local small-scale power spectrum.
Barreira, Alexandre, Schmidt, Fabian
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Emergent Structures in Large Networks [PDF]
We consider a large class of exponential random graph models and prove the existence of a region of parameter space corresponding to the emergent multipartite structure, separated by a phase transition from a region of disordered graphs. An essential feature is the formalism of graph limits as developed by Lovász et al. for dense random graphs.
Aristoff, David, Radin, Charles
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Visualizing the structure of large trees [PDF]
This study introduces a new method of visualizing complex tree structured objects. The usefulness of this method is illustrated in the context of detecting unexpected features in a data set of very large trees. The major contribution is a novel two-dimensional graphical representation of each tree, with a covariate coded by color.
Aydın, Burcu+5 more
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The large-scale structure of the Universe [PDF]
Invited review to Nature (27 April 2006 issue), Early Universe Supplement, 34 pages, 6 figures (partially size reduced)
Volker Springel+2 more
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Large Scale Structure of the Universe [PDF]
How is the universe organized on large scales? How did this structure evolve from the unknown initial conditions of a rather smooth early universe to the present time? The answers to these questions will shed light on the cosmology we live in, the amount, composition and distribution of matter in the universe, the initial spectrum of density ...
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Voids in the Large‐Scale Structure [PDF]
Voids are the most prominent feature of the LSS of the universe. Still, they have been generally ignored in quantitative analysis of it, essentially due to the lack of an objective tool to identify and quantify the voids. To overcome this, we present the Void-Finder algorithm, a novel tool for objectively quantifying galaxy voids.
Hagai El-Ad, Tsvi Piran
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Large gauge effects and the structure of amplitudes [PDF]
Abstract We show that large gauge transformations modify the structure of momentum conservation leading to non-vanishing three-point amplitudes in a simple toy model of a gravitational wave event. This phenomenon resolves an apparent tension between perturbative scattering amplitude computations and exact methods in field theory ...
Andrea Cristofoli+3 more
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Structure of large random hypergraphs
The theme of this paper is the derivation of analytic formulae for certain large combinatorial structures. The formulae are obtained via fluid limits of pure jump type Markov processes, established under simple conditions on the Laplace transforms of their Levy kernels.
Darling, R. W. R., Norris, J. R.
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On the structure of sets of large doubling
We investigate the structure of finite sets $A \subseteq \Z$ where $|A+A|$ is large. We present a combinatorial construction that serves as a counterexample to natural conjectures in the pursuit of an "anti-Freiman" theory in additive combinatorics. In particular, we answer a question along these lines posed by O'Bryant.
Mark Lewko, Allison Lewko
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