ar X iv : c on d - m at / 0 10 21 33 7 Fe b 20 01 Polymer Reptation and Nucleosome Repositioning

ar X iv : c on d - m at / 0 21 01 96 v 3 2 7 Fe b 20 03 The noncommutative replica procedure

The alternative to the replica procedure, which we call the noncommutative replica procedure, is discussed. The detailed comparison with the standard EA replica procedure is performed.

ar X iv : m at h / 01 02 07 7 v 2 [ m at h . A G ] 1 5 Fe b 20 01 REAL RATIONAL SURFACES ARE QUASI - SIMPLE

We show that real rational (over C) surfaces are quasi-simple, i.e., that such a surface is determined up to deformation in the class of real surfaces by the topological type of its real structure.

ar X iv : n lin / 0 10 20 32 v 1 [ nl in . C D ] 2 4 Fe b 20 01 Extension of fixed point clustering : A cluster criterion

The present report extends the method of fixed point clustering [7] by introducing an indirect criterion for the number of clusters. The derived probability function allows an objective distinction of clustered data and data in between clusters. Applications on simulated data illustrate the clustering method and the probability function.

ar X iv : m at h - ph / 0 30 20 21 v 1 1 0 Fe b 20 03 Phase turbulence in the Complex Ginzburg – Landau equation via Kuramoto – Sivashinsky

ar X iv : c on d - m at / 0 20 22 62 v 2 [ co nd - m at . s of t ] 1 9 Fe b 20 02 Phase Transitions in Lyotropic Nematic Gels

In this paper, we discuss the equilibrium phases and collapse transitions of a lyotropic nematic gel immersed in an isotropic solvent. A nematic gel consists of a cross-linked polymer network with rod-like molecules embedded in it. Upon decreasing the quality of the solvent, we find that a lyotropic nematic gel undergoes a discontinuous volume change accompanied by an isotropic-nematic transiti...