We discuss dynamical properties of actions of diagonalizable groups on locally homogeneous spaces, particularly their invariant measures, and present some number theoretic and spectral applications. Entropy plays a key role in the study of theses invariant measures and in the applications. Mathematics Subject Classification (2000). 37D40, 37A45, 11J13, 81Q50.

We study generalized group actions on differentiable manifolds in the Colombeau framework, extending previous work on flows of generalized vector fields and symmetry group analysis of generalized solutions. As an application, we analyze group invariant generalized functions in this setting. Mathematics Subject Classification (2000): Primary: 46F30; secondary: 46T30, 35A30, 58E40

We study regularity of viscous incompressible fluid flows in a 2D channel with “do nothing” outflow boundary condition on the output for the steady Stokes and Navier–Stokes equations. Mathematics Subject Classification (2000). 35Q30; 74G55; 74G20.

The purpose of this paper is to discuss the relationship between commutative and non-commutative integrability of Hamiltonian systems and to construct new examples of integrable geodesic flows on Riemannian manifolds. In particular, we prove that the geodesic flow of the biinvariant metric on any bi-quotient of a compact Lie group is integrable in the non-commutative sense by means of polynomia...

We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those Riemannian flows M carrying non-trivial solutions to that equation in case M is a local Riemannian product, a Sasakian manifold or 3-dimensional. Mathematics Subject Classification: 53C12, 53C27

Based on the phase-space information obtained from a multiphase transport model within the string-melting scenario for strange and antistrange quarks, we study the yields and transverse-momentum spectra of φ mesons and ( − + ̄+) baryons and their anisotropic flows in Au + Au collisions at RHIC using a dynamical quark coalescence model that includes the effect from quark phase-space distribution...

This paper studies the implications for the long-run world income distribution (WID) of two possible knowledge spillovers structures: appropriate technology and backward knowledge spillovers. In an appropriate technology framework, where total factor intensity is an index of the technological level of an economy, countries will grab useful knowledge only from their technological neighborhood, t...

We discuss different aspects of nested bar systems, both observational and theoretical. Such systems consist of a large-scale primary bar leading to the formation of a sub-kpc size secondary bar, whose pattern speed differs substantially from that of the main bar. Specifically, we focus on the origin and gravitational decoupling of nested bars, and their characteristic gas flows on scales of ∼ ...

3 Recently a reduced complexity model which simulates the process of delta 4 formation on geological time scales has been proposed [Seybold et al., 2007]. 5 It includes subaerial and subaqueous growth in a three dimensional frame-6 work. In this paper we apply this model to the formation of a river domi-7 nated delta and compare the model dynamics with observations of the for-8 mation of the Ba...