We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong unifor...Lasīt vairāk
We prove that for Bernoulli percolation on Zd, d (greater than or equal to) 2, the percolation density is an analytic function of the parameter in the supercritical interval. For this we introduce some techniques that have further implications. In p...Lasīt vairāk
Egges goal is to make the theory of symmetric functions more accessible to undergraduate students, taking a combinatorial approach wherever feasible, and showing both the core of the subject and some of the areas that are active today. He assume...Lasīt vairāk
Spencer learned asymptotics directly from renowned Hungarian mathematician Paul Erds (1913-96), and shares some insights with other students of mathematics who have a knowledge of first year calculus and perhaps some background in probability and...Lasīt vairāk
This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA, USA. The very wide range of topics represented in this volume i...Lasīt vairāk
