Tropical and Idempotent Mathematics and Applications International Workshop on Tropical and Idempotent Mathematics August 26 31 2012 Independent Moscow Russia 1st Edition by G L Litvinov, S N Sergeev ISBN 082189496X 9780821894965

Tropical and Idempotent Mathematics and Applications International Workshop on Tropical and Idempotent Mathematics August 26 31 2012 Independent Moscow Russia 1st Edition by G. L. Litvinov, S. N. Sergeev – Ebook PDF Instant Download/Delivery: 082189496X, 9780821894965

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Product details:

ISBN 10: 082189496X 

ISBN 13: 9780821894965

Author: G. L. Litvinov, S. N. Sergeev

The 16 papers contribute to a branch of mathematics that became established during the 1980s and 1990s. The topics include an approximation of Hopf-Lax type formula via idempotent analysis, tropical Plücker functions and Kashiwara crystals, optimization on the range of a max-separable operator, algebraic structures of tropical mathematics, the complete solution and example application of a constrained tropical optimization problem, idempotent algebra models of single-agent and multi-agent dynamics, the tropicalization and tropical equilibration of chemical reactions, and strong independence and injectivity in tropical modules

Table of contents:

1. Tropical Cramer Determinants Revisited

2. An Approximation of Hopf-Lax Type Formula via Idempotent Analysis

3. Ideals of MV-Semirings and MV-Algebras

4. Tropical Plücker Functions and Kashiwara Crystals

5. A Metric on Max-Min Algebra

6. Optimization on the Range of a Max-Separable Operator

7. Algebraic Structures of Tropical Mathematics

8. Parametric Dequantization, Tropical Reduction of Hyperfields and Steady States of AC Electrical Networks

9. A Constrained Tropical Optimization Problem: Complete Solution and Application Example

10. On the Mathematical Foundations of Classical Thermodynamics

11. Tropical Support Sets in Analysis of Weak Links and Complementarity

12. Idempotent Algebra Models of Single-Agent and Multi-Agent Dynamics

13. Tropical Convexity over Max-Min Semiring

14. Tropicalization and Tropical Equilibration of Chemical Reactions

15. An Overview of Transience Bounds in Max-Plus Algebra

16. Strong Independence and Injectivity in Tropical Modules

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Tags: G L Litvinov, S N Sergeev, Tropical Mathematics, Idempotent Mathematics, Applications, International Workshop