Titlebook: Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis; With Applications to Teiji Kunihiro,Yuta Kikuchi,Kyosuke

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978-981-16-8191-2Springer Nature Singapore Pte Ltd. 2022

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舊石器時代

Economics and Politics of EnergyWe formulate the RG method as a powerful reduction theory of dynamical systems in a way that the Kuramoto’s reduction scheme and the center-manifold reduction theory that consist of the construction of the attractive/invariant manifold and the reduced equations on it naturally emerge.

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Ecological Economics: Critical PerspectivesWe present a general framework in the RG method to reduce microscopic dynamics to . dynamics, which occupies an intermediate level between the descriptions by the microscopic dynamics and macroscopic dynamics. This framework in the RG method is called the .. To demonstrate the validity of the doublet scheme, we analyze the Lorenz model.

SPASM

https://doi.org/10.1007/978-3-319-50319-6In this chapter, we present the details of derivations and proof of the formulae that appear commonly in Chaps.?10, 11 , and 12.

PAEAN

Introduction: Reduction of Dynamics, Notion of Effective Theories, and Renormalization Groups,The significant roles played by the notion of effective theories in physical sciences and the renormalization groups are indicated, by referring to Galileo. Then the purpose and structure of the monograph is described with comments on their physical and mathematical significance.

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