Dynamical Scale Transform In Tropical Geometry is popular PDF and ePub book, written by Tsuyoshi Kato in 2016-10-21, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Dynamical Scale Transform In Tropical Geometry can be Read Online from any device for your convenience.
Dynamical Scale Transform In Tropical Geometry Book PDF Summary
This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to the piecewise linear dynamics.Both rational and piecewise linear dynamics appear in many important branches of mathematics. Tropical geometry can play a role or function to bridge between different subjects in mathematics. This book contains detailed accounts of basic strategy on how to apply tropical geometry to analysis in various mathematical subjects by presenting several applications which include: a rough classification of partial differential equations from the point of view of global behavior of solutions; construction of the infinite quasi-recursive rational dynamics, based on the automaton of the Burnside group by Aleshin-Grigorchuk; study on nearly periodicity of the pentagram map on the moduli space of the twisted polygons; spectral coincidence between lamplighter group in theory of automata groups and Box and ball systems corresponding to KdV equation in soliton theory.This book is self-contained, and detailed accounts of theory of automata groups, BBS and the pentagram map are also included.
Detail Book of Dynamical Scale Transform In Tropical Geometry PDF
- Author : Tsuyoshi Kato
- Release : 21 October 2016
- Publisher : World Scientific
- ISBN : 9789814635387
- Genre : Mathematics
- Total Page : 270 pages
- Language : English
- PDF File Size : 12,9 Mb
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