955 research outputs found
Chronology Protection in anti-de Sitter
We consider 1/2 BPS excitations of AdS(5)xS(5) geometries in type IIB string
theory that can be mapped into free fermion configurations according to the
prescription of Lin, Lunin and Maldacena (LLM). It is shown that whenever the
fermionic probability density exceeds one or is negative, closed timelike
curves appear in the bulk. A violation of the Pauli exclusion principle in the
phase space of the fermions is thus intimately related to causality violation
in the dual geometries.Comment: 4 pages, 1 figure. v2: clarifications on the proof and comments on
curvature singularity added. v3: final version to appear in Class. Quantum
Gra
Statistical entropy of the Schwarzschild black hole
We derive the statistical entropy of the Schwarzschild black hole by
considering the asymptotic symmetry algebra near the boundary of
the spacetime at past null infinity. Using a two-dimensional description and
the Weyl invariance of black hole thermodynamics this symmetry algebra can be
mapped into the Virasoro algebra generating asymptotic symmetries of anti-de
Sitter spacetime. Using lagrangian methods we identify the stress-energy tensor
of the boundary conformal field theory and we calculate the central charge of
the Virasoro algebra. The Bekenstein-Hawking result for the black hole entropy
is regained using Cardy's formula. Our result strongly supports a non-local
realization of the holographic principleComment: 3 pages no figure
Supersymmetric gyratons in five dimensions
We obtain the gravitational and electromagnetic field of a spinning radiation
beam-pulse (a gyraton) in minimal five-dimensional gauged supergravity and show
under which conditions the solution preserves part of the supersymmetry. The
configurations represent generalizations of Lobatchevski waves on AdS with
nonzero angular momentum, and possess a Siklos-Virasoro reparametrization
invariance. We compute the holographic stress-energy tensor of the solutions
and show that it transforms without anomaly under these reparametrizations.
Furthermore, we present supersymmetric gyratons both in gauged and ungauged
five-dimensional supergravity coupled to an arbitrary number of vector
supermultiplets, which include gyratons on domain walls.Comment: 25 pages, no figures, uses JHEP3.cls. Final version to appear in CQ
Fatores de influĂȘncia no preço do milho no Brasil.
Introdução; Revisão Bibliogråfica; O mercado da soja; Resultados e discussão; ConclusÔes
Random hypergraphs and their applications
In the last few years we have witnessed the emergence, primarily in on-line
communities, of new types of social networks that require for their
representation more complex graph structures than have been employed in the
past. One example is the folksonomy, a tripartite structure of users,
resources, and tags -- labels collaboratively applied by the users to the
resources in order to impart meaningful structure on an otherwise
undifferentiated database. Here we propose a mathematical model of such
tripartite structures which represents them as random hypergraphs. We show that
it is possible to calculate many properties of this model exactly in the limit
of large network size and we compare the results against observations of a real
folksonomy, that of the on-line photography web site Flickr. We show that in
some cases the model matches the properties of the observed network well, while
in others there are significant differences, which we find to be attributable
to the practice of multiple tagging, i.e., the application by a single user of
many tags to one resource, or one tag to many resources.Comment: 11 pages, 7 figure
Percolation transition and distribution of connected components in generalized random network ensembles
In this work, we study the percolation transition and large deviation
properties of generalized canonical network ensembles. This new type of random
networks might have a very rich complex structure, including high heterogeneous
degree sequences, non-trivial community structure or specific spatial
dependence of the link probability for networks embedded in a metric space. We
find the cluster distribution of the networks in these ensembles by mapping the
problem to a fully connected Potts model with heterogeneous couplings. We show
that the nature of the Potts model phase transition, linked to the birth of a
giant component, has a crossover from second to first order when the number of
critical colors in all the networks under study. These results shed
light on the properties of dynamical processes defined on these network
ensembles.Comment: 27 pages, 15 figure
Dynamics of Fractures in Quenched Disordered Media
We introduce a model for fractures in quenched disordered media. This model
has a deterministic extremal dynamics, driven by the energy function of a
network of springs (Born Hamiltonian). The breakdown is the result of the
cooperation between the external field and the quenched disorder. This model
can be considered as describing the low temperature limit for crack propagation
in solids. To describe the memory effects in this dynamics, and then to study
the resistance properties of the system we realized some numerical simulations
of the model. The model exhibits interesting geometric and dynamical
properties, with a strong reduction of the fractal dimension of the clusters
and of their backbone, with respect to the case in which thermal fluctuations
dominate. This result can be explained by a recently introduced theoretical
tool as a screening enhancement due to memory effects induced by the quenched
disorder.Comment: 7 pages, 9 Postscript figures, uses revtex psfig.sty, to be published
on Phys. Rev.
Understanding the internet topology evolution dynamics
The internet structure is extremely complex. The Positive-Feedback Preference
(PFP) model is a recently introduced internet topology generator. The model
uses two generic algorithms to replicate the evolution dynamics observed on the
internet historic data. The phenomenological model was originally designed to
match only two topology properties of the internet, i.e. the rich-club
connectivity and the exact form of degree distribution. Whereas numerical
evaluation has shown that the PFP model accurately reproduces a large set of
other nontrivial characteristics as well. This paper aims to investigate why
and how this generative model captures so many diverse properties of the
internet. Based on comprehensive simulation results, the paper presents a
detailed analysis on the exact origin of each of the topology properties
produced by the model. This work reveals how network evolution mechanisms
control the obtained topology properties and it also provides insights on
correlations between various structural characteristics of complex networks.Comment: 15 figure
Hypergraph topological quantities for tagged social networks
Recent years have witnessed the emergence of a new class of social networks,
that require us to move beyond previously employed representations of complex
graph structures. A notable example is that of the folksonomy, an online
process where users collaboratively employ tags to resources to impart
structure to an otherwise undifferentiated database. In a recent paper[1] we
proposed a mathematical model that represents these structures as tripartite
hypergraphs and defined basic topological quantities of interest. In this paper
we extend our model by defining additional quantities such as edge
distributions, vertex similarity and correlations as well as clustering. We
then empirically measure these quantities on two real life folksonomies, the
popular online photo sharing site Flickr and the bookmarking site CiteULike. We
find that these systems share similar qualitative features with the majority of
complex networks that have been previously studied. We propose that the
quantities and methodology described here can be used as a standard tool in
measuring the structure of tagged networks.Comment: 8 pages, 9 figures, revte
Extracting significant signal of news consumption from social networks: the case of Twitter in Italian political elections
According to the Eurobarometer report about EU media use of May 2018, the number of European citizens who consult on-line social networks for accessing information is considerably increasing. In this work we analyse approximately 106 tweets exchanged during the last Italian elections held on March 4, 2018. Using an entropy-based null model discounting the activity of the users, we first identify potential political alliances within the group of verified accounts: if two verified users are retweeted more than expected by the non-verified ones, they are likely to be related. Then, we derive the usersâ affiliation to a coalition measuring the polarisation of unverified accounts. Finally, we study the bipartite directed representation of the tweets and retweets network, in which tweets and users are collected on the two layers. Users with the highest out-degree identify the most popular ones, whereas highest out-degree posts are the most âviralâ. We identify significant content spreaders with a procedure that allows to statistically validate the connections that cannot be explained by usersâ tweeting activity and postsâ virality, using an entropy-based null model as benchmark. The analysis of the directed network of validated retweets reveals signals of the alliances formed after the elections, highlighting commonalities of interests before the event of the national elections
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