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p-Adic Gibbs measures and phase transitions of p-adic Ising-Vannimenus and p-adic Lambda-Models on the Cayley tree
No full textBu tezimizde iki dallı Cayley ağacı üzerinde p-adik analiz yöntemlerini kullanarak; p-adik Ising-Vannimenus ve p-adik Lamda-modelleri için genelleştirilmiş p-adik quasi Gibbs ölçümlerinin varlığını ve faz geçişinin olup olmadığını inceledik. Öncelikle her iki modelimiz için iki dallı Cayley ağacı üzerinde p-adik katsayılı dinamik sistemler elde ettik. Bu dinamik sistemlerin sabit noktalarını bulmak için, yapmış olduğumuz dönüşümlerle bu dinamik sistemleri, üçüncü dereceden p-adik katsayılı polinom denklemlerine indirgedik. Bundan sonra, genelleştirilmiş p-adik quasi Gibbs ölçümlerinin varlığını, bu polinomların köklerinin varlığına ve genelleştirilmiş p-adik quasi Gibbs ölçümlerinide bu p-adik katsayılı polinomların köklerinin ölçümüne indirgemiş olduk. Her iki model için aşikar olmayan köklerin varlığını gösterdik ve dolayısıyla genelleştirilmiş p-adik quasi Gibbs ölçümlerinin var olduğunu gördük. p-adik Ising-Vannimenus model için elde ettiğimiz p-adik katsayılı polinomun üç tane kökünün olduğunu ve bu köklerden birinin ölçümünün sınırlı, diğer ikisinin ölçümünün de sınırsız olduğunu ispatladık. Bu da bize p-adik Ising-Vannimenus model için faz geçişinin varlığını gösterdi. Ayrıca sınırsız olan ölçümlerin oranını inceledik ve oranı bir olarak elde ettik ve bu sonuçta bize bu ölçümlerin aynı hızla sonsuza gittiğini gösterdi. p-adik -modelde ise model için elde ettiğimiz p-adik katsayılı üçüncü derece polinomun ve olmak üzere iki durumda en az iki kökünün olduğunu dolayısıyla genelleştirilmiş p-adik quasi Gibbs ölçümünün varlığını gösterdik. Ölçümlerin varlığının ispatından sonra iki farklı durumda faz geçişinin olup olmadığını ispatlamak için bu ölçümlerin sınırlı olup olmadıklarına baktık. İncelememiz sonucunda her iki durumda da faz geçişinin olduğunu ve ikinci durumunda ise güçlü faz geçişinin olduğunu gördük.In this thesis, we have investigated the existence of the generalized p-adic quasi Gibbs measures and phase transitions for the p-adic Ising-Vannimenus and p-adic Lambda-model by using p-adic analysis methods on the Cayley tree of order two. First, we obtained the dynamic systems with p-adic coefficients for both models on the Cayley tree of order two. And then by using appropriate transformations, we have reduced these dynamic systems to the third degree polynomials with p-adic coefficients to find the fixed points of these dynamic systems. Our problem has been reduced to problem of the existence of roots of these polynomials and the measurement of the roots of these polynomials with p-adic coefficients. For both models, we have proved that there exist three non-trivial solutions, which imply the existence of p-adic quasi Gibbs measure, hence the existence of the generalized p-adic quasi Gibbs measures for both p-adic Ising-Vannimenus and p-adic -models. Third degree polynomials with p-adic coefficients have three non-trivial solutions and the measurement of one root is bounded and the measurements of other two roots are unbounded for p-adic Ising-Vannimenus model. So, this fact proves that phase transition occurs for p-adic Ising-Vannimenus model. We have also checked the rate of unbounded measures for Ising-Vannimenus model that goes to infinity in the same rate. However, for p-adic Lambda-model, we have shown that at least two non-trivial solutions of third degree polynomials with p-adic coefficients exist in both cases which means the generalized p-adic quasi Gibbs measures exist for the model. After the proving existence of the measurements in both cases we have investigated the existence of the phase transitions and proved that there exists phase transition in both cases. However in the second case we have proved that there exists strong phase transition. We obtained more general results than the previous results about these models
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Review on Some Sequence Spaces of p-adic Numbers
Get PDFIn this paper, we make a literature review on p-adic sequences and we prove some new topological properties on the sequence spaces w(p), l∞(p) and c(p) of p-adic numbers as the set of all sequences, the set of bounded sequences and the set of convergent sequences of p-adic numbers, respectively. We show that these sequence spaces are Banach spaces under some certain topological properties. Moreover we prove some inclusion relation between these sequence spaces.We construct the α-, β- and γ duals of sequence spaces w(p), l∞(p) and c(p), and of p-adic numbers. We conclude the paper with characterizations of some significant matrix classes
Dispelling the Myths Behind First-author Citation Counts
Get PDFWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
Author-wise bibliometric analysis based on entropy.
No full textAuthor-wise bibliometric analysis based on entropy.</p
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