Tropical Value Distribution Theory And Ultra-discrete Equations

Download or read book Tropical Value Distribution Theory And Ultra-discrete Equations written by Risto Korhonen and published by World Scientific. This book was released on 2015-03-17 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare the contents of the theory with the classical counterparts in complex analysis.Detailed presentation of the proofs makes the book accessible for lecture courses and independent studies at the graduate and post-doctoral level.