Our world has a network construction. Networks are everywhere: cellular networks, the Internet, the Web, social and economics networks. All these networks are extremely compact, infinite-dimensional objects with complex architectures. The questions are:
How are the networks organized?
How do these complex architectures emerge? How do networks evolve?
What is special about processes taking place on the complex networks?
How to design an optimal network?
Our PhD and Postdocs - what is great to know:
1. Complex variables and asymptotic methods.
2. Classical statistical mechanics.
5. Ubuntu, C++, Perl, and our cluster.