Leonid Nazarov

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The fractal globule state is a popular model for describing chromatin packing in eukaryotic nuclei. Here we provide a scaling theory and dissipative particle dynamics computer simulation for the thermal motion of monomers in the fractal globule state. Simulations starting from different entanglement-free initial states show good convergence which provides(More)
A statistical model describing a fine structure of the intra-chromosome maps obtained by a genome-wide chromosome conformation capture method (Hi-C) is proposed. The model combines hierarchical chain folding with a quenched heteropolymer structure of primary chromatin sequences. It is conjectured that the observed Hi-C maps are statistical averages over(More)
The statistical properties of intra-chromosome maps obtained by a genome-wide chromosome conformation capture method (Hi-C) are described in the framework of the hierarchical crumpling model of heteropolymer chain with quenched disorder in the primary sequence. We conjecture that the observed Hi-C maps are statistical averages over many different ways of(More)
Long-Term " Agreement on Collaboration in the Field of Remote Sensing of the Earth " has been signed in December 2002 between the Institute of Radioengineering and Electronics (IRE), Russian Academy of Sciences (RAS), and NASA Center for Hydrology, Soil Climatology and Remote Sensing (HSCaRS), Alabama A&M University (AAMU). Among the topics of collaboration(More)
We consider trading strategy, which generates dynamic portfolio changing with low latency in response to changing market. Traditional approach to calculation of risk measures, like VaR or expected shortfall, does not apply in this case. We model loss as Cox process and use limit theorems for Cox processes to derive approximation for distribution of maximum(More)
One of the most important tasks in understanding the complex spatial organization of the genome consists in extracting information about this spatial organization, the function and structure of chromatin topological domains from existing experimental data, in particular, from genome colocal-ization (Hi-C) matrices. Here we present an algorithm allowing to(More)
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