Nonextensive triplets in cryptocurrency exchanges

Stošić, Darko; Stošić, Dušan; Ludermir, Teresa B.; Stošić, Tatijana

doi:10.1016/j.physa.2018.04.066

Cited by 11 publications

(12 citation statements)

References 24 publications

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“…Numerical data from a non exhaustive series of observations displaying sensitivity, stationarity and relaxation q-indices, and their respective auxiliary indices issued from three-term cycle or two-term cycle fixed points q 1 . For the three-term cycles, one can observe an interesting closeness between "solar wind" [18,19], "Feigenbaum point" [24][25][26][27] and "Brazos River" [28] in the sense that, for all of them, q 1 0, whilst "Bitcoin" [29], "standard map" [10,30], and "ozone layer" [31], are neatly apart from them. With those, as well as with the present two-term cycles, one cannot conclude.…”

Section: Observational Examplesmentioning

confidence: 98%

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Möbius Transforms, Cycles and q-triplets in Statistical Mechanics

Gazeau

Tsallis

2019

Entropy

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A. In the realm of Boltzmann-Gibbs (BG) statistical mechanics and its q-generalisation for complex systems, we analyse observed sequences of q-triplets, or q-doublets if one of them is the unity, in terms of cycles of successive Möbius transforms of the line preserving unity ( q = 1 corresponds to the BG theory). Such transforms have the form q → (aqwhere a is a real number; the particular cases a = −1 and a = 0 yield respectively q → (2 − q) and q → 1/q, currently known as additive and multiplicative dualities. This approach seemingly enables the organisation of various complex phenomena into different classes, named N -complete or incomplete. The classification that we propose here hopefully constitutes a useful guideline in the search, for non-BG systems whenever well described through q-indices, of new possibly observable physical properties.

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Section: Observational Examplesmentioning

confidence: 98%

“…We now examine specific sequences of maps (29) in view of their relevance to relations between parameters q associated with different facets of a complex system.…”

Section: Cyclesmentioning

confidence: 99%

Möbius Transforms, Cycles and q-triplets in Statistical Mechanics

Gazeau

Tsallis

2019

Entropy

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“…Embedding intelligent contract, one of the characteristic technologies of block chain, into intelligent loans can reduce the cost of information acquisition and labor, and improve the efficiency of business processing. Although the application of block chain technology in the credit field has many advantages, at present block chain is still in the initial stage of development, lacking relevant specific operation experience and empirical research, and there are many risks [13]. Therefore, in view of the possible problems in its credit application, this paper puts forward the following suggestions: One is the technical level of the block chain, which mainly includes three major problems: redundant storage, data security accidents and poor correctability.…”

Section: Application Risks Of Block Chain Technologymentioning

confidence: 99%

Analyses on the Equilibrium Model of Financing Game—Based on Block Chain Technology

feng¹

2020

Proceedings of the 5th International Conference on Social Sciences and Economic Development (ICSSED 2020)

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China's small and micro enterprises have made and are making indispensable contributions to promote the development of the national economy, increase employment and maintain social stability. However, the traditional financing channel is single, the financing cost is high, and the financing difficulties greatly restrict many enterprises to further develop and grow. Under the background of rapid development of financial science and technology represented by block chain, big data, cloud computing, artificial intelligence and so on, financial models are constantly being innovated, and Internet financing models are increasingly becoming an important and effective way to raise funds for small and micro enterprises in the future. Using dynamic game theory tools, this paper makes model analysis on financing modes based on block chain technology, and draws a conclusion that financing modes that improve information asymmetry based on block chain can better alleviate the financing difficulties of small and micro enterprises. Finally, it points out the risks existing in the application of block chain technology in the credit field at present, and puts forward some suggestions, hoping to promote the healthy development of financial science and technology industry including Internet financing industry.

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“…The set of obtained values for the nonextensive parameter q is denoted as a "q-triplet" and characterizes metastable states in nonequilibrium. This triplet has been successfully explored in natural phenomena such as the ozone layer [17], solar plasma [18,19], El Niño/Southern Oscillation [20], geological faults [21] and river discharge [16]; in artificial systems including scale-free networks [22], logistic [23] and standard [24] maps; and in financial systems namely cryptocurrencies [25]. The main aim of our work is to analyze the behavior of stock markets in the context of nonextensive formalism -to compare their physical observables (such as price returns and volatilities) with those expected for a metastable dynamical system described by nonextensive statistics.…”

Section: Introductionmentioning

confidence: 99%

Nonextensive triplets in stock market indices

Stošić

2019

Physica A: Statistical Mechanics and its Applications

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Stock market indices are one of the most investigated complex systems in econophysics.Here we extend the existing literature on stock markets in connection with nonextensive statistical mechanics. We explore the nonextensivity of price volatilities for 34 major stock market indices between 2010 and 2019. We discover that stock markets follow nonextensive statistics regarding equilibrium, relaxation and sensitivity. We find nonextensive behavior in stock markets for developed countries, but not for developing countries. Distances between nonextensive triplets suggest that some stock markets might share similar nonextensive dynamics, while others are widely different. The current findings strongly indicate that the stock market represents a system whose physics is properly described by nonextensive statistical mechanics. Our results shed light on the complex nature of stock market indices, and establish another formal link with the nonextensive theory.

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Nonextensive triplets in cryptocurrency exchanges

Cited by 11 publications

References 24 publications

Möbius Transforms, Cycles and q-triplets in Statistical Mechanics

Möbius Transforms, Cycles and q-triplets in Statistical Mechanics

Analyses on the Equilibrium Model of Financing Game—Based on Block Chain Technology

Nonextensive triplets in stock market indices

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