Graph theory isn’t enough ... And for mathematicians, she said, “there’s room to play.” Random Walks and Matrices That sense of creative “play” extends to other tools as well.

All of these models play an important role in numerous applied problems from natural science and computer science and their study is a modern and actively developing area of probability theory called ...

Oded Schramm devised a mathematical proof that shows how certain random two-dimensional objects ... Chayes and Borgs's prior university labors on graph theory and phase transitions have been ...

Graph theory isn’t enough. The mathematical language for talking ... Perhaps the best-known example of a Markov chain is a random walk, which describes a path where each step is determined randomly ...