1,720,959 research outputs found
Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model
Get PDFIn this work we establish the existence of the p-adic Gibbs measure for the p-adic λ-Ising model on the Cayley tree of order two. In the previous studies, p-adic Ising model and p-adic λ-model were distinctly studied in many papers with the various properties. In this work, it is the first we combined both p-adic Ising model and p-adic λ-model on the Cayley tree of order two. In this research
we only establish the model and we proved the existence of the p-adic Gibbs measures in the p-adic case. Here, we use the methods of p-adic analysis, and then, our results do not work in the real case
A Short Review on p-Adic Numbers
Get PDFIn this review work we indicated that there are two different metrics to find the distance
between any two rational numbers. One of these metrics is usual absolute value
and the other one is
the p-adic absolute value
p
, here p is a prime number. Most crucial property of this norm is that it
satisfies the ultra-metric triangle inequality. In this work we gave some definitions and properties about
both metric and ultra metric norms. Especially, we reviewed the construction of p-adic number field.
Rational numbers have two types of completions; while one of them is real numbers field the other one is
p-adic numbers field
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
On P-Adic lambda-model on the cayley tree II: Phase transitions
No full textIn the present paper, we consider the p-adic λ-model on the Cayley tree of order two. It is considered generalized p-adic quasi Gibbs measure depending on a parameter ρ ∈ p, for the λ-model. In the p-adic setting there are several kinds of phase transitions such as storing phase transition, phase transition in terms of the generalized p-adic quasi Gibbs measures. In the paper, we consider two regimes with respect to the parameter ρ. The existence of generalized p-adic Gibbs measures in both regimes is proved. We prove the existence of the phase transition for the p-adic λ model on the Cayley tree of order two in the first regime. It turns out that in the second regime, we are able to establish the strong phase transition for a class of λ-models on the same tree. To prove the main results, we employ the methods of p-adic analysis, and therefore, our results are not valid in the real setting
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
On p-adic ising model with competing interactions on the cayley tree
No full textIt is known that the Ising model is one of the most studied models in statistical mechanics. Since, this model is related to
a number of outstanding problems in statistical and mathematical physics, and in graph theory. On the other hand, that
most of modern science is based on mathematical analysis over real and complex numbers. However, it is turned out that
for exploring complex hierarchical systems it is sometimes more fruitful to use analysis over p-adic numbers and ultrametric
spaces. Therefore, in this direction a lot of investigations are devoted to the mathematical physics models over p-adic �eld.
In the present paper, we further develop the theory of statistical mechanics. Namely, we consider p-adic Ising model with
competing next-nearest-neighbor interactions on the Cayley tree of order two. Note that usual p-adic Ising model on the
tree was earlier studied by the �rst author. A main aim of this work is the establishment of a phase transition phenomena
for the mentioned model. Here the phase transition means the existence of two nontrivial p-adic Gibbs measures. To prove
the occurrence of the phase transition we reduce the problem to the existence of at leat two solutions of nonlinear difference
equations
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