5 search results for “random graphs” in the Public website
-
Joon Hyung Lee
Science
-
Exploration on and of Networks
This dissertation consists of two parts, with the common theme
-
Spectral signatures of breaking of ensemble equivalence
This thesis explores Breaking of Ensemble Equivalence (BEE) in random graph models by examining the spectral properties of adjacency matrices. The goal is to identify spectral characteristics that differentiate random graph ensembles, enhancing the understanding of complex network structures and beh…
-
The parabolic Anderson model on Galton-Watson trees
The parabolic Anderson model (PAM), which is the Cauchy problem for the heat equation with random potential. The PAM is a mathematical model that describes how mass (i.e. matter or energy) flows in a medium in the presence of a field of sources and sinks.
-
No experiments but equations: how Daoyi Wang uses math to understand the world
How do you study the growth of microorganisms, the spread of epidemic diseases or the healing of wounds, without actually performing experiments? Daoyi Wang, PhD candidate at the Mathematical Institute, worked on a specific mathematical model that can describe the growth of microorganisms and many other…