KFU. Card publication. Outlook About the Mathematical Foundation of Creativity in Economy: Monadic Approach and Holistic Role of the Zeta Riemann Functio

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OUTLOOK ABOUT THE MATHEMATICAL FOUNDATION OF CREATIVITY IN ECONOMY: MONADIC APPROACH AND HOLISTIC ROLE OF THE ZETA RIEMANN FUNCTIO

Form of presentation

International monographs

Year of publication

2024

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Authors, employees of KFU

Tayurskiy Dmitriy Albertovich, author

Bibliographic description in the original language

Méhauté, Alain le and Tayurskii, Dmitrii. «Chapter 3 Outlook About the Mathematical Foundation of Creativity in Economy: Monadic Approach and Holistic Role of the Zeta Riemann Function« / Select Topics of Econophysics, edited by Amit Sinha, Berlin, Boston: De Gruyter. - 2025. - pp. 25-56.

Annotation

This work is part of research in economics aimed to generalizing (i) the physiocratic models inputs (I)/(O) outputs (TIO), (ii) the neo-classic approach of the balance supply demand (TEG) and (iii) especially the general theory of equilibrium (TGE) bringing rarity and sociological influences. To do so the processes of creativity. The role of the singularity of time and of the history are considered in the framework of discrete no more differential, but spectral approach. The question that motivates this chapter is that of growth of the economy via innovations as maker of wealth, therefore that of imbalance open systems with holes. We approach this question by considering in a very general way an asymmetrical local/global coupling by backing it to an arithmetic of balance sheets based on spectral algebra of economics by the means of Zeta Riemann function. The generalization of economic approach is led from a generalization of the notion of ergodicity (here seen as an intensity/extensity coupling) leading a local categorical monadic structure constrained by a non-linearity. We will show how time asymmetry, a source of creativity, comes from the functional relationship that characterizes the zeta function.

Keywords

Economics, Physics, Econophysics, Sociophysics, Geometric Brownian Motion

URL

https://www.degruyter.com/document/doi/10.1515/9783110987584-003/html

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=306609&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tayurskiy Dmitriy Albertovich	ru_RU
dc.date.accessioned	2024-01-01T00:00:00Z	ru_RU
dc.date.available	2024-01-01T00:00:00Z	ru_RU
dc.date.issued	2024	ru_RU
dc.identifier.citation	Méhauté, Alain le and Tayurskii, Dmitrii. «Chapter 3 Outlook About the Mathematical Foundation of Creativity in Economy: Monadic Approach and Holistic Role of the Zeta Riemann Function« / Select Topics of Econophysics, edited by Amit Sinha, Berlin, Boston: De Gruyter. - 2025. - pp. 25-56.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=306609&p_lang=2	ru_RU
dc.description.abstract	This work is part of research in economics aimed to generalizing (i) the physiocratic models inputs (I)/(O) outputs (TIO), (ii) the neo-classic approach of the balance supply demand (TEG) and (iii) especially the general theory of equilibrium (TGE) bringing rarity and sociological influences. To do so the processes of creativity. The role of the singularity of time and of the history are considered in the framework of discrete no more differential, but spectral approach. The question that motivates this chapter is that of growth of the economy via innovations as maker of wealth, therefore that of imbalance open systems with holes. We approach this question by considering in a very general way an asymmetrical local/global coupling by backing it to an arithmetic of balance sheets based on spectral algebra of economics by the means of Zeta Riemann function. The generalization of economic approach is led from a generalization of the notion of ergodicity (here seen as an intensity/extensity coupling) leading a local categorical monadic structure constrained by a non-linearity. We will show how time asymmetry, a source of creativity, comes from the functional relationship that characterizes the zeta function.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Economics	ru_RU
dc.subject	Physics	ru_RU
dc.subject	Econophysics	ru_RU
dc.subject	Sociophysics	ru_RU
dc.subject	Geometric Brownian Motion	ru_RU
dc.title	Outlook About the Mathematical Foundation of Creativity in Economy: Monadic Approach and Holistic Role of the Zeta Riemann Functio	ru_RU
dc.type	International monographs	ru_RU