Disordered Ising Systems and Random Cluster Representations

In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connection matrix when we know a spectrum of its eigenvalues. In addition, we define restrictions allowing a random number sequence to be a connection matrix spectrum. We use the previously obtained analytical expressions for the eigenvalues of Ising connection matrices accounting for an arbitrary long-range interaction and supposing periodic boundary conditions.

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Compulsive Buying in Adolescents. The Impact of Gender and Alcohol and Cannabis Use

Sustainability ◽

10.3390/su13073982 ◽

2021 ◽

Vol 13 (7) ◽

pp. 3982

Author(s):

Gloria Pérez de Albéniz-Garrote ◽

Maria Begoña Medina-Gómez ◽

Cristina Buedo-Guirado

Keyword(s):

Compulsive Buying ◽

Cannabis Use ◽

Descriptive Statistics ◽

Cluster Sampling ◽

Toxic Substances ◽

Higher Alcohol ◽

Random Cluster ◽

Prevention Programmes ◽

The Impact ◽

Buying In

The purpose of this study to analyse whether compulsive buying in teenagers is related to gender and alcohol and cannabis use in a sample of 573 students aged 14–17 from secondary education schools in Burgos (Spain) (M = 15.65; SD = 1.04). Random cluster sampling was performed to select the sample. The Compulsive Buying Questionnaire was used together with two extra promts: ‘Indicate how much alcohol you consume’ and ‘Indicate how much cannabis you take’. Descriptive statistics were used in data analysis, while MANOVA was used to study gender differences in alcohol and cannabis use, compulsive buying and their interaction. The results show higher scores for female compulsive buyers than for men, higher scores for alcohol and cannabis users’ compulsive buying than for non-users, respectively, and higher scores for female users than for male users. A certain interaction was also observed between alcohol and cannabis use. A higher alcohol consumption entailed a higher score in compulsive buying, with cannabis users who did not consume alcohol obtaining the highest scores. Thus, prevention programmes should consider teenagers’ gender and the risk of taking toxic substances.

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Entropy for translation-invariant random-cluster measures

10.1214/aop/1022855747 ◽

1998 ◽

Vol 26 (3) ◽

pp. 1139-1178 ◽

Cited By ~ 3

Author(s):

Timo Seppäläinen

Keyword(s):

Translation Invariant ◽

Random Cluster

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Research and Improvement about LEACH Routing Protocol for Wireless Sensor Networks

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.241-244.1028 ◽

2012 ◽

Vol 241-244 ◽

pp. 1028-1032

Author(s):

Li Wang ◽

Qi Lin Zhu

Keyword(s):

Routing Protocol ◽

Routing Algorithm ◽

Cluster Head ◽

Wireless Sensor ◽

Cluster Head Selection ◽

Selection Algorithm ◽

Energy Factor ◽

Random Cluster ◽

Simulation Results ◽

Node Energy

In recent years, as the development of wireless sensor network, people do some deep researches on cluster-based protocol, most around the prolongation of the lifetime of WSN and decline of energy consumed by the sensors. This paper analyses of classical clustering routing protocol based on LEACH, aiming at the node energy foot presents energy improved clustering routing algorithm, the random cluster head selection algorithm of threshold to be changed, lowering the threshold, in the original threshold increases the node's remaining energy factor, reduces the communication load of cluster nodes, and simulation. The simulation results show that the LEACH-E improved algorithm, energy saving, reducing balance node energy consumption, effectively prolongs the network lifetime.

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