Probability theory is based on the notion of independence. The celebrated law of large numbers and the central limit theorem describe the asymptotics of the sum of independent variables. However, there are many models of strongly correlated random variables: for instance, the ei…
Markov Chains and Mixing Times is a magical book, managing to be both friendly and deep. It gently introduces probabilistic techniques so that an outsider can follow. At the same time, it is the first book covering the geometric theory of Markov chains and has much that will be …
"The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book. In this graduate text, we focus on one…
This volume contains the proceedings of the International Research Conference "Probability on Algebraic and Geometric Structures", held from June 5-7, 2014, at Southern Illinois University, Carbondale, IL, celebrating the careers of Philip Feinsilver, Salah-Eldin A. Mohammed, an…
Probability on algebraic and geometric structures: international research conference in honor of Phi…
by Mohammed, Salah-Eldin, Feinsilver, Philip J., (Philip Joel), Mukherjea, Arunava, Probability on Algebraic and Geometric Structures (Conference), Carbondale, Illinois)
fromContemporary mathematics (American Mathematical Society)
These proceedings include survey papers and new research on a variety of topics such as probability measures and the behavior of stochastic processes on groups, semigroups, and Clifford algebras; algebraic methods for analyzing Markov chains and products of random matrices; stoc…