indemnify 发表于 2025-3-25 04:59:19

Perturbation Expansion,which can be systematically calculated via Taylor expansions and expectation values with regard to the solvable part of the theory. Diagrammatic rules for Gaussian solvable theories are presented to organize perturbation expansions using Feynman diagrams. The general rules are exemplified using a “.. + ..” theory.

比喻好 发表于 2025-3-25 07:55:04

Perturbation Theory for Stochastic Differential Equations,part of the theory. We here want to show how to calculate perturbative corrections that arise from non-linearities in the stochastic differential equation, corresponding to the non-Gaussian part of the action.

FATAL 发表于 2025-3-25 11:46:08

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克制 发表于 2025-3-25 16:19:24

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bleach 发表于 2025-3-25 22:04:26

Probabilities, Moments, Cumulants,the cumulant-generating function. It, correspondingly, introduces moments and cumulants and their mutual connections. These definitions are key to the subsequent concepts, such as the perturbative computation of statistics.

增减字母法 发表于 2025-3-26 01:29:41

,Gaussian Distribution and Wick’s Theorem, theory boils down to a clever reorganization of Gaussian integrals. In this section we will therefore derive fundamental properties of this distribution. The diagrammatic perturbative methods to be developed in subsequent chapters rely on these elementary properties: The lines in Feynman diagrams r

孵卵器 发表于 2025-3-26 06:05:17

Perturbation Expansion,lvable part and a small perturbation. The general concept of an action allows the definition of an interaction potential that introduces corrections, which can be systematically calculated via Taylor expansions and expectation values with regard to the solvable part of the theory. Diagrammatic rules

Optic-Disk 发表于 2025-3-26 09:31:25

Functional Formulation of Stochastic Differential Equations,spects. First, it expresses the dynamical equations into a path-integral, where the dynamic equations give rise to the definition of an “action.” In this way, the perturbation expansion with the help of Feynman diagrams or the loopwise expansions to obtain a systematic treatment of fluctuations (in

conception 发表于 2025-3-26 13:36:11

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extinct 发表于 2025-3-26 20:00:11

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查看完整版本: Titlebook: Statistical Field Theory for Neural Networks; Moritz Helias,David Dahmen Book 2020 Springer Nature Switzerland AG 2020 Statistical physics