Research interests:
My recent preprints on arxiv.org are listed here.
I am currently interested in
topological and dynamical properties of complex
networks. Such networks operate inside living cells (protein binding,
transcriptional regulation, signaling, metabolism), wire up neurons in our brain,
connect routers in the Internet, link webpages in the WWW, etc. In my studies
of biomolecular processes I often use tools of theoretical statistical
physics. However, the results belong to interdisciplinary fields
of computational or systems biology and bioinformatics.
In
my recent paper with Iaroslav Ispolatov we
studied the biological aspects of the mass-action equilibrium in protein binding
networks. In particular, we quantified the propagation of large perturbations,
as well as random noise and fluctuations in proteins' equilibrium concentrations.
Together with
Kim
Sneppen we analyzed the
topological degree-degree correlations in protein interaction and regulatory
networks in yeast. Later on in 2002
we applied a similar technique to deduce correlation
properties of the Internet.
.I also work
on problems related to search and ranking
(think of Google) in various information networks (WWW,
citations), prediction
of tastes of customers based on their opinions on products (think of Amazon.com
or Netflix), and the detection of
communities in the Internet.
Together
with my students we have recently proposed
a new algorithm (CiteRank)
ranking scientific publications by their relevance to current research
directions. If interested here you could look
up the ranking of your own papers published in American
Physical Society journals.
Before focusing on complex
networks I worked on a variety of topics including (in reverse chronological
order) Econophysics, Low-dimensional
magnetism, and Self-Organized Criticality.