Topics in Analysis

Analytic combinatorics uses generating functions to encode counting sequences and complex analytic techniques to estimate their growth and statistics. The emphasis in this course will be on analytic combinatorics in several variables (ACSV). Topics include: intro to generating functions and analytic combinatorics, multivariate series and diagonals, latttice path enumeration, ACSV for smooth points, ACSV for non-smooth points. Prerequisites: sequences and series at the level of advanced calculus, undergraduate or graduate complex analysis.
Course Attributes:

Topics in Analysis

MATHEMATICS AND STATISTICS 523

Section 01