Fixed-Point Problems in Discrete Tomography: Case of Square Windows

A kind of fixed-point problem in the area of discrete tomography is proposed and investigated. Our chief concern in this paper is the case of square windows in the plane. Dealing with the arrays which are bounded, of polynomial growth, and finite-ring-valued, one comes across several interesting phenomena of combinatorial and arithmetic nature.Comment: 30 pages, 20 figure

The making of a state-centered "public sphere" in Turkey : a discourse analysis

Why is it that state-centered recognition of the public sphere has prevailed in Turkey during the last decade? The frame analysis of the “public sphere†discourse during the 2002-2009 period revealed that the contingency of the discourse on the Islamic headscarf issue discouraged an essential understanding of the authentic public sphere. Secularists framed the public sphere as a politically neutral arena that must be protected by the state. By contrast, pro-Islamists initially counter-framed the public sphere positively, in line with the Habermasian definition. Yet, in the face of stiff opposition from the secularists, the pro-Islamists came to adopt a negative counter-frame implying that the public sphere impinged on the freedom of wearing a headscarf. As a result, both the secularists’ and pro-Islamists’ frames entrenched the general recognition of the state-centered public sphere in Turkish society.Turkey, Social problems, Social conditions, Public administration, Urban societies, Community, Public sphere, Discourse analysis

Economic voting and electoral volatility in Turkish provinces

Two groups of questions were addressed in this paper: (1) Is voter punishment of the incumbent the primary factor in electoral volatility? Are there any other types of vote swings that underlie volatility? (2) In general, does a decline in economic growth destabilize voter behavior? If so, what kinds of vote swings does an economic downturn tend to generate? Provincial-level panel data analysis yielded the following results: (1) Changes in volatility is primarily due to vote swings from the incumbent to the opposition and also to and from left-wing and right-wing parties. (2) Lower economic growth increases electoral volatility. Economic decline induces vote swings not only from the government to the opposition but also from left-wing to right-wing parties. This is probably because right-wing parties seem more concerned with economic issues and are thus more popular than left-wing parties with lower-income voters.Electoral volatility, Economic voting, Panel analysis, Elections, Turkey, Constitutional law

Constitutional Review and the Parliamentary Opposition in Turkey

Internal politics, Parliaments, Constitutions

Determinants of political tolerance : a literature review

This paper reviews the current literature on political tolerance with particular reference to its individual- and aggregate-level determinants. Individual-level determinants such as authoritarianism, education, contact, and threat perception are found to have robust effects on tolerance. What are less known are the mediating factors that enhance or reduce these effects. In recent years, increasing attention has been directed toward the impact of contextual factors on threat and contact effects.Developing countries, Developed countries, Internal politics, Political thoughts, Authoritarianism, Ethnicity, Political tolerance, Education, Contact, Threat

Constitutional Review and Democratic Consolidation: A Literature Review

This paper reviews the literature on the prevalence of constitutional review across the world, and particularly in emerging democracies, during the last two decades. Two major questions should be addressed in this regard. First, why has the judiciary been empowered and what factors affect judicial activism? Second, does constitutional review ensure an effective self-enforcing function? In sum, the literature shows that constitutional review can make democracy self-enforcing if there is sufficient competition among political parties or between the legislature and the executive branch of government. In a more sophisticated case, political balance within the court can also ensure the observance of court decisions.Judiciary, Constitutional review, Democracy, Politics

Computationally efficient algorithms for the two-dimensional Kolmogorov-Smirnov test

Goodness-of-fit statistics measure the compatibility of random samples against some theoretical or reference probability distribution function. The classical one-dimensional Kolmogorov-Smirnov test is a non-parametric statistic for comparing two empirical distributions which defines the largest absolute difference between the two cumulative distribution functions as a measure of disagreement. Adapting this test to more than one dimension is a challenge because there are 2^d-1 independent ways of ordering a cumulative distribution function in d dimensions. We discuss Peacock's version of the Kolmogorov-Smirnov test for two-dimensional data sets which computes the differences between cumulative distribution functions in 4n^2 quadrants. We also examine Fasano and Franceschini's variation of Peacock's test, Cooke's algorithm for Peacock's test, and ROOT's version of the two-dimensional Kolmogorov-Smirnov test. We establish a lower-bound limit on the work for computing Peacock's test of Omega(n^2.lg(n)), introducing optimal algorithms for both this and Fasano and Franceschini's test, and show that Cooke's algorithm is not a faithful implementation of Peacock's test. We also discuss and evaluate parallel algorithms for Peacock's test