Thesiss

This dissertation covers the two major parts of my Ph.D. research: i) developing a theoretical framework of complex networks and applying simulation and numerical methods to study the robustness of the network system, and ii) applying statistical physics concepts and methods to …

Natural porous media are heterogeneous at different length scales: microscopic, macroscopic, megascopic, and gigascopic. In addition, they exhibit strong spatial correlations in their morphological and transport properties. These media are often highly disordered and poorly conn…

In the first part of this thesis I consider site and bond percolation on a Random Connection Model and prove that for a wide range of connection functions the critical site probability is strictly greater than the critical bond probability and use this fact to improve previously…