Sökresultat

We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth orientation-preserving diffeomorphisms of the circle with a Riemannian structure. The study of the Riemannian exponential map allows us to prove infinite-dimensional counterparts of results from classical Riemannian geometry: the Riemannian exponential map is a smooth local diffeomorphism and the le

Necessary and sufficient conditions are given for a Lorentz space L8phi,q) to have a trivial conjugat space. Analogous results are derived for quasi-normed spaces

We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is completely determined for all strongly transitive affine maps on a torus of dimension one, two or three.

Extreme climate events such as severe droughts and floods have become more frequent and widespread in the 21st Century. Recent studies have revealed the tele-connections between Madden–Julian Oscillation (MJO) and extreme precipitation over different regions such as South America, India and China. This study investigates the influence of MJO on global extreme dry and wet conditions, and how the st

We analyse how the concept of the ether, playing the role of absolute space, is still present in physics. When the problem is considered in the context of classical mechanics, we show that vestiges of absolute space can be found in the standard presentation of inertial systems. We offer an alternative -- fully relational -- definition of inertial systems which not only eliminates the problem but i

The goal of this article is to examine the nature of interaction between the Georgian Orthodox Church (GOC) and the state during the pandemic. The article shows how the church’s gradual acknowledgement of the deadly character of the virus coincided with a strict adherence to certain highly risky religious practices (such as communion from the same spoon), while the Georgian government’s stance in

This paper investigates the fundamental free-space antenna translation channel as an important step in understanding and developing the spherical waves as a generic tool for MIMO channel modeling. The model is demonstrated by quantifying the theoretical MIMO capacity associated with antennas exciting high order modes in the Fresnel and Fraunhofer regions.

Popular Abstract in Swedish Den här avhandlingen handlar om interaktion mellan två ytor (t.ex. fibrer, lerpartiklar eller proteiner) i en vattenlösning med motjoner, salt och/eller polyelektrolyter. Polyelektrolyter är laddade polymerer. Avhandlingen är fokuserad på elektrostatisk växelverkan och interaktionerna har undersöks med hjälp av Monte Carlo-simuleringar. De kvalitativa resultaten har oftThe interaction between two colloids with grafted polyelectrolytes in aqueous solution is studied within the primitive model by Monte Carlo simulations. For neutral colloids with grafted polyelectrolytes and in absence of salt the interaction is strongly repulsive in absence of salt. The interaction depends on the extension of the polyelectrolytes from the surfaces and the interaction is derived a

The inverse scattering problem on the half-axis for long range potentials is studied. It is shown that the solution of the inverse problem contains arbitrary real parameters iven if no bound states are present. Connections with the inverse problem on the whole axis are discussed.

The topological group D-k(S) of diffeomorphisms of the unit circle 5 of Sobolev class H-k, for k large enough, is a Banach manifold modeled on the Hilbert space H-k(S). In this paper we show that the H-1 right-invariant metric obtained by right-translation of the H-1 inner product on TidDk(S)similar or equal to H-k(S) defines a smooth Riemannian metric on D-k(S), and we explicitly construct a comp

Some clinical results indicate that somatostatin (sms) might be useful in the treatment of advanced prostate cancer (HRPC). Because of its transient in vivo half-life only more stable derivatives of sms are of interest in this context. Recent studies have shown that natural sms can be conjugated to a carbohydrate (smsdx) with preservation of sms-like effects on the prostatic tumor cell proteome. T