The use of big data allows the analysis of (very) large datasets, reaching conclusions for some processes which could involve complex analysis. With the growth of web access in recent decades, the amount of data available has increased exponentially. This large amount of available data and its use has influenced society, communication, habits, and even cultural aspects, so understanding, interpreting, and knowing how to use this amount of data has been a challenge for data scientists. In this context, big data was initially described by four different Vs: Velocity, Volume, Veracity, and Variety, as follows.

This original V model of the big data paradigm is now added to with other data characteristics. For example, volatility, referring to the validity of the data or value referring to the potential use of the data (see, for example, Tennant et al. 2017). Other features are found in the literature, both using the initial V letter and others, like the Ps proposed by Lupton (2015), who just asks about the importance of big data in society in general and in the academic world in particular (see, for example, Kitchin and McArdle 2016 for more features). The objective of identifying big data in V was to outline the existence of different interconnected and measurable properties (Carbone et al. 2016).

The research area of finance is very sensitive to the use of this kind of approach, as there is a huge amount of data available, with some being publicly disclosed and more available in databases via subscription. Platforms such as Google, Twitter, and others give rise to the need for effective verification in terms of whether the large amount of information available on the web can help to analyze and predict financial variables (Preis et al. 2013). Verifying whether or not this large amount of information influences financial markets requires tools from complex systems (Arthur et al. 1998; Rosser 1999; Carbone et al. 2016). In this regard, the use of models, methods, and techniques available from the physics of complex systems, such as multifractal analysis, multiscalar analysis, temporal networks, or multilevel networks, have been useful in recent research and can also be useful for future research.

Another application involving big data has been developed by The Observatory of Economic Complexity (Hausmann et al. 2014), derived from the idea of the Economic Complexity Index (ECI; Hidalgo and Hausmann 2009). This index provides extensive information about more than 130 countries, making it possible to analyze the role of knowledge in the production of goods for countries’ economic growth and development. Since Solow (1956), the theory of endogenous growth has contributed to the understanding of how human capital influences economic growth. However, it is also necessary to consider whether human capital is incorporated into a country’s productive system by providing the production of goods with relative complexity and diversity. Thus, Hidalgo and Hausmann (2009) and Hausmann et al. (2014) created the ECI, which considers both the level of knowledge used to export goods and the diversity of production of those goods. A country has high economic complexity if the goods produced incorporate a high level of knowledge and productive diversity. One such example is Japan, which, according to ECI, had the most complex economy in the world between 2011 and 2016 due to the complexity and variety of products exported. In contrast in Botswana, which ranks 129th according to the ECI, 52% of exports comprise only refined copper, that is, a product that requires little knowledge for manufacture.

As previously mentioned, finance is one of the areas showing increased work which could be considered as using big data, and has attracted researchers from other research fields, such as physicists, even creating multidisciplinary research fields such as econophysics.

Econophysics is a neologism used in the branch of Complex Systems from Physics seeking to make a complete survey of the statistical properties of financial markets, using the immense volume of available data and the methodologies of statistical physics (Mantegna and Stanley 1999). The term Econophysics was coined by Stanley et al. (1996) when they analyzed the Dow Jones Index and found that stock returns followed a power law distribution, contributing to the emergence of this new research field. Although use of the neologism is relatively recent, the approximation between physics and finance is not new, beginning probably in the 1960s, when Mandelbrot (1963), analyzing the returns of cotton prices, refutes the condition of normal asset prices (Jovanovic and Schinckus 2013, 2017). For Mirowski (1990, 1991), neoclassical economics had a strong influence on theoretical physics, contributing to economic theory throughout the 20th century. Mandelbrot’s ideas about the non-normality of financial returns remained forgotten, until Mantegna (1991), analyzing the Italian stock market, discovered that returns were compatible with Lévy stable non-Gaussian distributions.

Since its emergence, Econophysics has made a significant contribution to several issues mainly in finance: autocorrelations, long-range dependence, and non-normal asymptotic distributions (Mantegna and Stanley 1999); assessment of financial risk and asset pricing (Bouchaud and Potters 2003); the prediction of crises and market crashes (Sornette 2017); and agent-based modeling (Farmer and Foley 2009; Lux and Marchesi 1999), systematic risk, and networks (Battiston et al. 2012a; Tabak et al. 2014; Wang et al. 2017; Wang et al. 2018).

One of the hot topics of Econophysics, where the connection to financial theory is closer, is analysis of the efficient market hypothesis (EMH). Although the EMH was only formalized by Fama (1970), this hypothesis implying that the market reflects all the available information on financial assets’ prices, it was formally analyzed by Bachelier (1900) and Samuelson (1965), among others, before the definition of Econophysics. Since Fama (1970), this topic has been studied greatly in the literature (see Lee 2008; Titan 2015 for reviews). On the basis of the EMH, asset prices may be described by a random walk with this possibility being analyzed through the Hurst exponent, which is a very well-known approach in Econophysics. Methodologies like the rescaled range (R/S) analysis of Detrended Fluctuation Analysis (DFA) are widely used to make this estimation and are found in several studies, such as Costa and Vasconcelos (2003), Di Matteo et al. (2005), Wang et al. (2011a, 2011b), López and Contreras (2013), Kristoufek and Vosvrda (2013), Cao and Zhang (2015), Anagnostidis et al. (2016), Urquhart (2016), Nadarajah and Chu (2017), or Ferreira et al. (2017), among many others.

Regardless of the features identified in the previous section, it is important to understand that big data can be used for commercial and financial purposes. In different areas, firms can use their data with the objective of raising their returns (see, for example, Subrahmanyam 2019). Obviously, thanks to increased computational capacity, the financial sector can also use Econophysics models to identify, test, and evaluate models which could be used, for example, to identify patterns in financial (big) data (see, for example, Preis et al. 2010, 2012, 2013, among many others which use big data trying to anticipate possible warning signs in financial markets).

Regarded with some distrust in mainstream economics at the beginning (see, for example, Ball 2006; Schinckus 2018), this may now be changing, with some economists adopting methods originating in the field of Econophysics and increasing recognition of its wide applicability in several areas of the economy. Thus, Econophysics is slowly being assured its place. Initially, applications were restricted to financial markets and in rare cases macroeconomics. Currently, Econophysics is used in several areas of the economy, such as energy (Filip et al. 2016), regional economics (Gao and Zhou 2018), or environmental economics (Stolbova et al. 2018), among many others, demonstrating that this discipline is attaining greater importance in solving various economic problems. In complexity, an area that has gained prominence is complex networks.

4. Conclusions