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In recent years there has been a closer interrelationship between several scientific areas trying to obtain a more realistic and rich explanation of the natural and social phenomena. Among these it should be emphasized the increasing…

Physics and Society · Physics 2016-09-08 Andreia Dionisio , Rui Menezes , Diana A. Mendes

Accounting for the non-normality of asset returns remains challenging in robust portfolio optimization. In this article, we tackle this problem by assessing the risk of the portfolio through the "amount of randomness" conveyed by its…

Portfolio Management · Quantitative Finance 2018-07-03 Nathan Lassance , Frédéric Vrins

Cryptocurrencies (CCs) have risen rapidly in market capitalization over the last years. Despite striking price volatility, their high average returns have drawn attention to CCs as alternative investment assets for portfolio and risk…

Portfolio Management · Quantitative Finance 2020-09-18 Alla Petukhina , Simon Trimborn , Wolfgang Karl Härdle , Hermann Elendner

Entropy has emerged as a dynamic, interdisciplinary, and widely accepted quantitative measure of uncertainty across different disciplines. A unified understanding of entropy measures, supported by a detailed review of their theoretical…

Probability · Mathematics 2025-03-21 Naveen Kumar , Ambesh Dixit , Vivek Vijay

A cryptocurrency is a digital asset maintained by a decentralised system using cryptography. Investors in this emerging digital market are exploring the profitability potential of portfolios in place of single coins. Portfolios are…

Physics and Society · Physics 2023-04-06 Ruixue Jing , Luis Enrique Correa Rocha

Econophysics is an approach to quantitative economy using ideas, models, conceptual and computational methods of statistical physics. In recent years many of physical theories like theory of turbulence, scaling, random matrix theory or…

Condensed Matter · Physics 2007-05-23 Z. Burda , J. Jurkiewicz , M. A. Nowak

Cryptocurrency markets have many of the characteristics of 20th century commodities markets, making them an attractive candidate for trend following strategies. We present a decade of evidence from the infancy of bitcoin, showcasing the…

Statistical Finance · Quantitative Finance 2020-09-28 Evans Rozario , Samuel Holt , James West , Shaun Ng

In recent years, the tendency of the number of financial institutions including cryptocurrencies in their portfolios has accelerated. Cryptocurrencies are the first pure digital assets to be included by asset managers. Although they have…

Trading and Market Microstructure · Quantitative Finance 2022-01-31 Fan Fang , Carmine Ventre , Michail Basios , Leslie Kanthan , Lingbo Li , David Martinez-Regoband , Fan Wu

The cryptocurrency market surpassed the barrier of \$100 billion market capitalization in June 2017, after months of steady growth. Despite its increasing relevance in the financial world, however, a comprehensive analysis of the whole…

Interest in cryptocurrencies has skyrocketed since their introduction a decade ago, with hundreds of billions of dollars now invested across a landscape of thousands of different cryptocurrencies. While there is significant diversity, there…

Cryptography and Security · Computer Science 2018-10-22 Pierre Reibel , Haaroon Yousaf , Sarah Meiklejohn

For this special issue, the article aims at discussing a few econophysics problems studied so far rather successfully. The following "applications" in micro-econo-physics are considered : (i) financial crashes; it is emphasized that one can…

General Finance · Quantitative Finance 2014-12-03 Marcel Ausloos

Cryptocurrency refers to a type of digital asset that uses distributed ledger, or blockchain, technology to enable a secure transaction. Although the technology is widely misunderstood, many central banks are considering launching their own…

Computational Finance · Quantitative Finance 2020-07-30 Wolfgang Karl Härdle , Campbell R. Harvey , Raphael C. G. Reule

We determine the amount of information contained in a time series of price returns at a given time scale, by using a widespread tool of the information theory, namely the Shannon entropy, applied to a symbolic representation of this time…

Statistical Finance · Quantitative Finance 2022-08-26 Xavier Brouty , Matthieu Garcin

Since its conception, the cryptocurrency market has been frequently described as an immature market, characterized by significant swings in volatility and occasionally described as lacking rhyme or reason. There has been great speculation…

Statistical Finance · Quantitative Finance 2023-06-14 Nick James , Max Menzies

We discuss and analyze some recent literature that introduced pioneering methods in econophysics. In doing so, we review recent methods of estimating the volatility, volatility of volatility, and probability densities. These methods will…

Statistical Finance · Quantitative Finance 2023-01-25 Moawia Alghalith

The investor is interested in the expected return and he is also concerned about the risk and the uncertainty assumed by the investment. One of the most popular concepts used to measure the risk and the uncertainty is the variance and/or…

Statistical Finance · Quantitative Finance 2008-12-02 Andreia Dionisio , Rui Menezes , Diana A. Mendes

In the market place, diversification reduces risk and provides protection against extreme events by ensuring that one is not overly exposed to individual occurrences. We argue that diversification is best measured by characteristics of the…

Portfolio Management · Quantitative Finance 2011-02-24 Ulrich Kirchner , Caroline Zunckel

Utilizing graph analytics and learning has proven to be an effective method for exploring aspects of crypto economics such as network effects, decentralization, tokenomics, and fraud detection. However, the majority of existing research…

Computational Engineering, Finance, and Science · Computer Science 2024-03-12 Bingqiao Luo

The Shannon entropy, one of the cornerstones of information theory, is widely used in physics, particularly in statistical mechanics. Yet its characterization and connection to physics remain vague, leaving ample room for misconceptions and…

Statistical Mechanics · Physics 2021-07-28 Gabriele Carcassi , Christine A. Aidala , Julian Barbour

We introduce a pathwise approach to analyze the relative performance of an equity portfolio with respect to a benchmark market portfolio. In this energy-entropy framework, the relative performance is decomposed into three components: a…

Portfolio Management · Quantitative Finance 2016-01-05 Soumik Pal , Ting-Kam Leonard Wong
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