Late Time Correlations in Hydrodynamics: Beyond Constitutive Relations.

We investigate the effects of nonlinear stochastic interactions on hydrodynamic response functions. The interactions are parametrized by "stochastic transport coefficients" that are invisible in the classical constitutive relations, but nonetheless affect the late time hydrodynamic correlations. We present a classification scheme for such coefficients that applies beyond the naive stochastic hydrodynamics.

[The inadequacy of using the autosomal STR markers for the establishment of the kinship in the parent-child pairs].

This article is concerned with the management of the disputable situations arising in the course of establishment of the kinship based on the analysis of autosomal STR loci. It is proposed to enhance the accuracy of determining thekinsip relations in the parent-child pairs (in the absence of one of the parents) by using additional sets of genetic markers localized for example on sex chromosomes, mitochondrial DNA (mtDNA) and bi-allele markers.

Towards hydrodynamics without an entropy current.

We present a generating functional which describes the equilibrium thermodynamic response of a relativistic system to external sources. A variational principle gives rise to constraints on the response parameters of relativistic hydrodynamics without making use of an entropy current. Our method reproduces and extends results available in the literature.

Black holes and nonrelativistic quantum systems.

We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale-invariant nonrelativistic (d+1)-dimensional quantum system with a dynamical exponent z=2. The gravitational model involves a massive Abelian vector field and a scalar field, in addition to the metric. The energy per particle in the dual theory is |micro|d/(d+2) at any temperature (micro is the chemical potential).