scholarly journals Measuring event concentration in empirical networks with different types of degree distributions

PLoS ONE ◽  
2020 ◽  
Vol 15 (12) ◽  
pp. e0241790
Author(s):  
Juan Campos ◽  
Jorge Finke
Keyword(s):  
Social Network ◽  
Power Law ◽  
Metric Space ◽  
Public Transportation ◽  
Street Network ◽  
Infrastructure Systems ◽  
Urban Structures ◽  
Different Types ◽  
Regular Network ◽  
Empirical Networks

Measuring event concentration often involves identifying clusters of events at various scales of resolution and across different regions. In the context of a city, for example, clusters may be characterized by the proximity of events in the metric space. However, events may also occur over urban structures such as public transportation and infrastructure systems, which are naturally represented as networks. Our work provides a theoretical framework to determine whether events distributed over a set of interconnected nodes are concentrated on a particular subset. Our main analysis shows how the proposed or any other measure of event concentration on a network must explicitly take into account its degree distribution. We apply the framework to measure event concentration (i) on a street network (i.e., approximated as a regular network where events represent criminal activities); and (ii) on a social network (i.e., a power law network where events represent users who are dissatisfied after purchasing the same product).

scholarly journals Dimensionality of Social Networks Using Motifs and Eigenvalues

2021 ◽  
Author(s):  
Anthony Bonato ◽  
David F. Gleich ◽  
Myunghwan Kim ◽  
Dieter Mitsche ◽  
Paweł Prałat ◽  
...  
Keyword(s):  
Social Networks ◽  
Social Network ◽  
Network Model ◽  
Power Law ◽  
Metric Space ◽  
Real World ◽  
Eigenvalue Distribution

We consider the dimensionality of social networks, and develop experiments aimed at predicting that dimension. We find that a social network model with nodes and links sampled from an m-dimensional metric space with power-law distributed influence regions best fits samples from real-world networks when m scales logarithmically with the number of nodes of the network. This supports a logarithmic dimension hypothesis, and we provide evidence with two different social networks, Facebook and LinkedIn. Further, we employ two different methods for confirming the hypothesis: the first uses the distribution of motif counts, and the second exploits the eigenvalue distribution.

scholarly journals Dimensionality of Social Networks Using Motifs and Eigenvalues

2021 ◽  
Author(s):  
Anthony Bonato ◽  
David F. Gleich ◽  
Myunghwan Kim ◽  
Dieter Mitsche ◽  
Paweł Prałat ◽  
...  
Keyword(s):  
Social Networks ◽  
Social Network ◽  
Network Model ◽  
Power Law ◽  
Metric Space ◽  
Real World ◽  
Eigenvalue Distribution

We consider the dimensionality of social networks, and develop experiments aimed at predicting that dimension. We find that a social network model with nodes and links sampled from an m-dimensional metric space with power-law distributed influence regions best fits samples from real-world networks when m scales logarithmically with the number of nodes of the network. This supports a logarithmic dimension hypothesis, and we provide evidence with two different social networks, Facebook and LinkedIn. Further, we employ two different methods for confirming the hypothesis: the first uses the distribution of motif counts, and the second exploits the eigenvalue distribution.

scholarly journals Cosmological constant in chameleon Brans–Dicke theory

2019 ◽  
Vol 28 (01) ◽  
pp. 1950022 ◽  
Author(s):  
Yousef Bisabr
Keyword(s):  
Exact Solution ◽  
Scalar Field ◽  
Cosmological Constant ◽  
Exact Solutions ◽  
Effective Mass ◽  
Potential Function ◽  
Power Law ◽  
Exponential Form ◽  
First Case ◽  
Different Types

We consider a generalized Brans–Dicke model in which the scalar field has a self-interacting potential function. The scalar field is also allowed to couple nonminimally with the matter part. We assume that it has a chameleon behavior in the sense that it acquires a density-dependent effective mass. We consider two different types of matter systems which couple with the chameleon, dust and vacuum. In the first case, we find a set of exact solutions when the potential has an exponential form. In the second case, we find a power-law exact solution for the scale factor. In this case, we will show that the vacuum density decays during expansion due to coupling with the chameleon.

Influential Nodes in Social Networks

2020 ◽  
pp. 371-385
Author(s):  
Kousik Das ◽  
Rupkumar Mahapatra ◽  
Sovan Samanta ◽  
Anita Pal
Keyword(s):  
Social Networks ◽  
Social Network ◽  
Social Structure ◽  
The Social ◽  
Different Types ◽  
Influential Nodes

Social network is the perfect place for connecting people. The social network is a social structure formed by a set of nodes (persons, organizations, etc.) and a set of links (connection between nodes). People feel very comfortable to share news and information through a social network. This chapter measures the influential persons in different types of online and offline social networks.

Keyword Selection Methodology for Identification of Major Events using Social Networks

2015 ◽  
Vol 7 (1) ◽  
pp. 42-60
Author(s):  
Eitan Bahir ◽  
Ammatzia. Peled
Keyword(s):  
Social Networks ◽  
Social Network ◽  
Early Identification ◽  
Real Time Systems ◽  
Threshold Values ◽  
Terror Attacks ◽  
Different Types ◽  
Processing Effort ◽  
Selection Methodology ◽  
Time Systems

The understanding of information communicated over social networks enables quick tracking of real events as they occur. In other cases, where the “crowd” factor is on high note, it is possible to identify events and to evaluate their magnitude, even before they occur. A full assessment of the content generated by social network users is very complex. This, due to the gigantic volume of data communicated over the net at any given time. Using few, well defined, keywords for the detection of relevant data reduces, considerably, the processing effort and expedites the identification of events, such as wildfire, floods or terror attacks. The preliminary results here has shown that by using keywords, specially tailored for different types of major events, one may detect ‘abnormal' surges of social network activities. Also, presented are threshold values, in terms of magnitude and frequency designed for early detection of these events. This approach is the basis for the development of algorithms for early identification real time systems and for geographical tracking of major events.

scholarly journals Chaotic ray propagation in corrugated layers

2005 ◽  
Vol 12 (6) ◽  
pp. 1003-1009 ◽  
Author(s):  
M. Bottiglieri ◽  
S. De Martino ◽  
M. Falanga ◽  
C. Godano
Keyword(s):  
Phase Space ◽  
Power Law ◽  
Chaotic Behaviour ◽  
Kam Theorem ◽  
Different Types ◽  
Corrugated Wall

Abstract. The aim of this paper is to study the effects of a corrugated wall on the behaviour of propagating rays. Different types of corrugation are considered, using different distributions of the corrugation heights: white Gaussian, power law, self-affine perturbation. In phase space, a prevalent chaotic behaviour of rays, and the presence of a lot of caustics, are observed. These results entail that the KAM theorem is not fulfilled.

scholarly journals A generalized q growth model based on nonadditive entropy

2020 ◽  
Vol 34 (29) ◽  
pp. 2050281
Author(s):  
Irving Rondón ◽  
Oscar Sotolongo-Costa ◽  
Jorge A. González ◽  
Jooyoung Lee
Keyword(s):  
Evolution Equation ◽  
Growth Model ◽  
Power Law ◽  
Statistical Physics ◽  
Von Bertalanffy ◽  
Model Based ◽  
General Growth ◽  
Different Types ◽  
Nonadditive Entropy ◽  
Growth Laws

We present a general growth model based on nonextensive statistical physics. We show that the most common unidimensional growth laws such as power law, exponential, logistic, Richards, Von Bertalanffy, Gompertz can be obtained. This model belongs to a particular case reported in (Physica A 369, 645 (2006)). The new evolution equation resembles the “universality” revealed by West for ontogenetic growth (Nature 413, 628 (2001)). We show that for early times the model follows a power law growth as [Formula: see text], where the exponent [Formula: see text] classifies different types of growth. Several examples are given and discussed.

scholarly journals Public knowledge of alternative media in times of algorithmically personalized news

2021 ◽  
pp. 146144482110210
Author(s):  
Tilman Klawier ◽  
Fabian Prochazka ◽  
Wolfgang Schweiger
Keyword(s):  
Social Network ◽  
Survey Data ◽  
Social Network Sites ◽  
Alternative Media ◽  
Public Knowledge ◽  
Representative Survey ◽  
Actual Knowledge ◽  
Internet Users ◽  
Different Types

Citizens are likely to encounter various types of alternative media online, especially on algorithmically personalized news channels (APNC) like social network sites or search engines. It is unclear, however, to what degree they are aware of these outlets and familiar with the concept of alternative media. This study investigates the relation between exposure to alternative media and knowledge of them, taking the role of APNC into account. Analyzing representative survey data of German Internet users, we find a gap: While many individuals report to use alternative media, few of them are able to name alternative media titles matching scholarly conceptions. Although the use of APNC increases self-reported exposure to alternative media, it does not improve actual knowledge of them. All in all, many Internet users have little awareness of alternative media and do not clearly distinguish between different types of sources they come across online.

Interest-oriented versus relationship-oriented social network sites in China

First Monday ◽  
2010 ◽  
Author(s):  
Weiyu Zhang ◽  
Rong Wang
Keyword(s):  
Social Networks ◽  
Social Network ◽  
Structural Analysis ◽  
Collective Action ◽  
Social Ties ◽  
Social Network Sites ◽  
Design Features ◽  
The Social ◽  
Different Types ◽  
Common Interests

This paper examines interest-oriented vs. relationship-oriented social network sites in China and their different implications for collective action. By utilizing a structural analysis of the design features and a survey of members of the social networks, this paper shows that the way a social network site is designed strongly suggests the formation and maintenance of different types of social ties. The social networks formed among strangers who share common interests imply different types of collective action, compared to the social networks that aim at the replication and strengthening of off-line relationships.

Sign in / Sign up

Export Citation Format

Share Document