Slanted matrices, Banach frames, and sampling

In this paper we present a rare combination of abstract results on the spectral properties of slanted matrices and some of their very specific applications to frame theory and sampling problems. We show that for a large class of slanted matrices boundedness below of the corresponding operator in $\ell^p$ for some $p$ implies boundedness below in $\ell^p$ for all $p$. We use the established resultto enrich our understanding of Banach frames and obtain new results for irregular sampling problems. We also present a version of a non-commutative Wiener's lemma for slanted matrices

Novel mechanism for temperature-independent transitions in flexible molecules: role of thermodynamic fluctuations

Novel physical mechanism is proposed for explanation of temperature-independent transition reactions in molecular systems. The mechanism becomes effective in the case of conformation transitions between quasi-isoenergetic molecular states. It is shown that at room temperatures, stochastic broadening of molecular energy levels predominates the energy of low frequency vibrations accompanying the transition. This leads to a cancellation of temperature dependence in the stochastically averaged rate constants. As an example, physical interpretation of temperature-independent onset of P2X_3 receptor desensitization in neuronal membranes is provided.Comment: 4 pages, 1 figur

Harmonic analysis of causal operators and their spectral properties

The definition and study of causal operators are based on the representation theory of group algebras. We study the structure of the spectra of causal operators, obtain conditions for causal invertibility and state criteria for a causal operator to belong to the radical

Effective risk communication as a factor in managing protests attitudes in a local community

Contemporary research into the perception of environmental risks suffers from poor knowledge of risk communication in the local community and of how different ways of risk communication affect protest attitudes. This study aims to clarify communication strategies and practices used by members of local communities as a protest response to environmental threats. The work builds on the cultural theory developed by Douglas, Dake, Bremen, and others. This theory distinguishes between several cultural types (hierarchism, individualism, communitarianism, and egalitarianism), which differ in how environmental risks are perceived and what forms risk communication takes. The study investigates the case of the village of Nivenskoe in Russia’s Kaliningrad region where residents opposed the development of a potassium salt deposit. It is concluded that egalitarians and communitarians are more likely than hierarchists and individualists to participate in protests when a serious environmental threat arises. Respondents of all cultural types tend to trust information coming from their close social network, public figures, and environmentalists whereas people of business are trusted the least

Mass Transfer Mechanism in Real Crystals by Pulsed Laser Irradiation

The dynamic processes in the surface layers of metals subjected activity of a pulsing laser irradiation, which destroyed not the crystalline structure in details surveyed. The procedure of calculation of a dislocation density generated in bulk of metal during the relaxation processes and at repeated pulse laser action is presented. The results of evaluations coincide with high accuracy with transmission electron microscopy dates. The dislocation-interstitial mechanism of laser-stimulated mass-transfer in real crystals is presented on the basis of the ideas of the interaction of structure defects in dynamically deforming medium. The good compliance of theoretical and experimental results approves a defining role of the presented mechanism of mass transfer at pulse laser action on metals. The possible implementation this dislocation-interstitial mechanism of mass transfer in metals to other cases of pulsing influences is justifiedComment: 10 pages, 2 figures, Late

Media images of the Kaliningrad region in the structure of migration attitudes of millennials and the reform generation

This article explores the role of a regional media image on migration attitudes. Attention is drawn to the Kaliningrad region, a Russian exclave whose population growth is solely due to migration. The study aims to determine how the media images of Kaliningrad affect the decision to move. The research draws on Radaev's concept of generations. It uses 2014-2018 regional and national publications about the Kaliningrad region (N=1913) and semi-structured interviews with informants (N=44). The research methods are publication analysis and in-depth interviews processed using the Atals.ti software. The five images identified are a region of international cooperation, a military outpost, an economically attractive area, a territory of developing infrastructure, and a tourist destination. The most substantial intergenerational differences concern the media images of a military outpost and an economically attractive area. Members of the reform generation are more likely than millennials to see a military threat and consider the security aspect when moving. Millennials showed greater awareness of what constitutes the image of an economically attractive region. It is concluded that differences between millennials and the reform generation in evaluating the significance of the region's media images depend crucially on the migration motives. For millennials, the priority is employment and career growth, whilst for the reform generation, it is finding a comfortable place to live in old age