Tropical value distribution theory and ultra-discrete equations

著者

• Korhonen, Risto
• Laine, Ilpo
• Tohge, Kazuya

書誌事項

Tropical value distribution theory and ultra-discrete equations

Risto Korhonen, Ilpo Laine, Kazuya Tohge

World Scientific, c2015

注記

Includes bibliographical references (p. 257-263) and index

内容説明・目次

内容説明

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.

目次

• Tropical Polynomials, Rationals and Exponentials
• Tropical Entire Functions
• One-dimensional Tropical Nevanlinna Theory
• Clunie and Mohon'ko Type Theorems
• Tropical Holomorphic Curves
• Representations of Tropical Periodic Functions
• Applications to Ultra-Discrete Equations
• Appendices: Classical Nevanlinna and Cartan Theories
• Introduction to Ultra-Discrete Painleve Equations
• Some Operators in Complex Analysis

「Nielsen BookData」 より

• NII書誌ID(NCID): BB18969188
• ISBN:
  • 9789814632799
• LCCN: 2015004327
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New Jersey
• ページ数/冊数: xi, 266 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA331
  • DC23 : 515/.9
• 件名:
  • LCSH : Value distribution theory
  • LCSH : Nevanlinna theory
  • LCSH : Difference equations