On extending actions of groups

Problems of dense and closed extension of actions of compact transformation groups are solved. The method developed in the paper is applied to problems of extension of equivariant maps and of construction of equivariant compactifications

Have Pentaquark States Been seen?

The status of the search for pentaquark baryons is reviewed in light of new results from the first two dedicated experiments from CLAS at Jefferson Lab and of new analyses from several laboratories on the $Theta^+(1540)$. Evidence for and against two heavier pentaquark states is also discussed.Comment: Added some references, corrected typo

Spin and orbital angular momentum of the proton

Since the announcement of the proton spin crisis by the European Muon Collaboration there has been considerable progress in unravelling the distribution of spin and orbital angular momentum within the proton. We review the current status of the problem, showing that not only have strong upper limits have been placed on the amount of polarized glue in the proton but that the experimental determination of the spin content has become much more precise. It is now clear that the origin of the discrepancy between experiment and the naive expectation of the fraction of spin carried by the quarks and anti-quarks in the proton lies in the non-perturbative structure of the proton. We explain how the features expected in a modern, relativistic and chirally symmetric description of nucleon structure naturally explain the current data. The consequences of this explanation for the presence of orbital angular momentum on quarks and gluons is reviewed and comparison made with recent results from lattice QCD and experimental data.Comment: Lectures at Aligarh University (4th DAE-BRNS Workshop on Hadron Physics, Feb 18-21, 200

Spectral multiplicity for powers of weakly mixing automorphisms

We study the behavior of maximal multiplicities $mm (R^n)$ for the powers of a weakly mixing automorphism $R$. For some special infinite set $A$ we show the existence of a weakly mixing rank-one automorphism $R$ such that $mm (R^n)=n$ and $mm(R^{n+1}) =1$ for all $n\in A$. Moreover, the cardinality $cardm(R^n)$ of the set of spectral multiplicities for $R^n$ is not bounded. We have $cardm(R^{n+1})=1$ and $cardm(R^n)=2^{m(n)}$, $m(n)\to\infty$, $n\in A$. We also construct another weakly mixing automorphism $R$ with the following properties: $mm(R^{n}) =n$ for $n=1,2,3,..., 2009, 2010$ but $mm(T^{2011}) =1$, all powers $(R^{n})$ have homogeneous spectrum, and the set of limit points of the sequence $\{\frac{mm (R^n)}{n} : n\in \N \}$ is infinite

Restriction of rights and freedoms of municipal employees as means for fight against corruption

The object of study in this article is a legal and regulatory enshringing of provisions on restriction of the rights and freedoms of municipal employees as an effective tool to combat corruption. The article states that the fight against corruption in the municipal service system is one of the anti-corruption mechanisms, and serves the implementation of the principle of openness and transparency in the activities of local governments. One way for combating corruption in the municipal service that implies an information openness in the activities of officials of local self-government and allows counteracting the commission of crimes of corruption, is the institution of restrictions on the rights of municipal employees. In the process of writing this article, we have used both general scientific methods of research (logical analysis and synthesis, functional and historical, and legal methods), as well as special methods. The methodology of the research involved primarily normative legal acts of the Russian Federation, as well as works of Russian scientists who studied the international experience on the issue. As a result of the study authors have concluded that the establishment of restrictions on the rights of persons taking the state and municipal service, ensures effective professional activity on execution of powers of state bodies, establishes obstacles for possible abuse of state and municipal employees, guarantees the implementation of civil rights by officials

Anti-corruption policy of the republic of tatarstan

The object of study of this article is the anti-corruption policy of the Republic of Tatarstan. The aim of this study is to study the regulatory legal acts of the Republic of Tatarstan, forming the legal basis for anti-corruption policy of the Republic. The article states that the development of anti-corruption legislation of subjects of the Russian Federation has followed the path of advancing the formation of anti-corruption legislative framework of the federal level, which ultimately has given rise to certain problems of law enforcement nature. In the process of writing this article we have been using both the scientific methods of research (logical analysis and synthesis, functional and historical-legal methods) and special methods. The research methodology includes primarily the regulatory legal acts of the Russian Federation, the Republic of Tatarstan, as well as the papers of Russian scientists; the international experience on the issue has been also studied. As a result of the study the authors conclude that currently almost all regional legislation, including in the Republic of Tatarstan, is brought into line with the federal legislation in the field of anti-corruption; and it is necessary to carry out a permanent set of measures of the legal, socio-economic and educational nature for the effective implementation of the anti-corruption policy both in the regions and the federal center

Legal positions of the constitutional court of the Russian federation on the problem of the limitation of rights and liberties of civil servants

The article covers the legal positions of the Constitutional Court on the legality of limitation of rights and freedoms of public servants in the Russian Federation. The study aims to examine the judicial acts of the Constitutional Court of the Russian Federation that resolve issues in the sphere of the public service, and to analyze the legal positions being stated in these documents. The article points out that being a judicial body of legislative review, the Constitutional Court of the Russian Federation has developed sufficiently clear and certain legal positions concerning abridgment of the rights and freedoms of civil servants, according to which regulating the legal status of civil servants, the procedure of entry on civil service and its record, the state has the right to establish special rules in this area. In the process of writing this article the general scientific methods of research (logical analysis and synthesis, functional and historical and legal methods) as well as special methods were used. The methodology of the research were primarily normative legal acts of the Russian Federation, the judicial practice of the Constitutional Court of the Russian Federation as well as the works of Russian scholars, the foreign experience on the issue was studied. As the result of studying the authors conclude that the objectives, principles and goals of organizing and functioning the civil service, the specifics of the activities of civil servants determined the need for setting by the state special rules for public servants that serve to ensure the maintenance of high-level exercise of public service, which is confirmed by formed position of the Constitutional Court of the Russian Federation

Legal positions of the constitutional court of the Russian federation on the problem of the limitation of rights and liberties of civil servants

The article covers the legal positions of the Constitutional Court on the legality of limitation of rights and freedoms of public servants in the Russian Federation. The study aims to examine the judicial acts of the Constitutional Court of the Russian Federation that resolve issues in the sphere of the public service, and to analyze the legal positions being stated in these documents. The article points out that being a judicial body of legislative review, the Constitutional Court of the Russian Federation has developed sufficiently clear and certain legal positions concerning abridgment of the rights and freedoms of civil servants, according to which regulating the legal status of civil servants, the procedure of entry on civil service and its record, the state has the right to establish special rules in this area. In the process of writing this article the general scientific methods of research (logical analysis and synthesis, functional and historical and legal methods) as well as special methods were used. The methodology of the research were primarily normative legal acts of the Russian Federation, the judicial practice of the Constitutional Court of the Russian Federation as well as the works of Russian scholars, the foreign experience on the issue was studied. As the result of studying the authors conclude that the objectives, principles and goals of organizing and functioning the civil service, the specifics of the activities of civil servants determined the need for setting by the state special rules for public servants that serve to ensure the maintenance of high-level exercise of public service, which is confirmed by formed position of the Constitutional Court of the Russian Federation

The parliamentary control as a way of counteraction against corruption in the russian federation

The object of study of this article is the normative-legal consolidation of provisions on the parliamentary control in the Russian Federation as an effective means of combating corruption. The article states that one of the most important areas of combating corruption is the improvement of the quality of activities of the legislative branch in Russia. The main line of fighting corruption is to improve the supervisory powers of the Russian parliament and all representative bodies of the executive power. In the process of writing this article, the general scientific research methods (logical analysis and synthesis, functional and historical and legal methods) as well as special methods were used. The research methodology was primarily normative legal acts of the Russian Federation and the works of Russian scientists, the international experience on the issue was studied. As a result of studying the authors come to the conclusion that currently, the mechanism of parliamentary control has a stable legal basis, all the necessary tools, and can fully answer to its purpose on the whole and perform a serious means of countering corruption in particular, however, this mechanism should be improved at every turn

Public control in the Russian Federation as a means of anti-corruption enforcement

The object of study for this article is a regulatory consolidation of provisions on public control in anti-corruption enforcement in the Russian Federation. In the article, the authors examine in detail the importance of public control in combating corruption. The study states that public control is one of the most important institutions of civil society with an already proven significance in the capacity of an effective instrument for ensuring the rule of law and prevention of various offenses at all tiers of authority, including corruption-related offenses. In the process of writing this article, we have used both scientific methods of research (logical analysis and synthesis, functional and historical and legal methods), and special methods The methodology of the study has included primarily normative legal acts of the Russian Federation, as well as works of Russian scientists; we have also studied the international experience on the issue. As a result of the study, the authors conclude that in order to carry out an effective anti-corruption policy, the state and its authorities need to implement the policy which is aimed to involve various institutions of civil society and the population in the fight against corruption, development of civil society activity, and the formation and the establishment of public control in the Russian Federation needs their further improvement, including in order to be an effective means of combating corruption