Soutenance de thèse : Olga Valba


11:00 - 13:00

LPTMS-batiment 100, salle des conseils
15 Rue Georges Clemenceau, Orsay
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Statistical analysis of networks and biophysical systems of complex architecture

Olga Valba (LPTMS)

Complex organization is found in many biological systems. For example, biopolymers could possess hierarchic structure, which provides their functional peculiarity. Artificially constructed biological networks are other common objects of statistical physics with rich functional properties. The aim of this thesis is to develop some methods for studying statistical systems of complex architecture with essential biological significance.

The first part addresses to the statistical analysis of random biopolymers. Apart from the evolutionary context, our study covers more general problems of planar topology appeared in description of various systems, ranging from gauge theory to biophysics.

In the second part of this work we focus our investigation on statistical properties of artificial and real networks. The importance of obtained results in applied biophysics is discussed. Also, the formation of stable patters of motifs in random networks under selective evolution in context of creation of islands of « superfamilies » is considered.

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