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In this work, we study the dynamical robustness in a system consisting of both active and inactive oscillators. We analytically show that the dynamical robustness of such system is determined by the cross link density between active and…

Adaptation and Self-Organizing Systems · Physics 2017-03-01 Wenwen Huang , Xiyun Zhang , Xin Hu , Zonghua Liu , Shuguang Guan

We use rank correlations as distance functions to establish the interconnectivity between stock returns, building weighted signed networks for the stocks of seven European countries, the US and Japan. We establish the theoretical…

Statistical Finance · Quantitative Finance 2021-04-14 E. Ferreira , S. Orbe , J. Ascorbebeitia , B. Álvarez Pereira , E. Estrada

Event-by-event intermittency analysis of Toy Monte Carlo events is performed in the scenario of high multiplicity events as is the case at recent colliders RHIC and LHC for AA collisions. A power law behaviour of Normalized Factorial…

High Energy Physics - Phenomenology · Physics 2022-03-01 Sheetal Sharma , Ramni Gupta

We present a simple model of a stock market where a random communication structure between agents gives rise to a heavy tails in the distribution of stock price variations in the form of an exponentially truncated power-law, similar to…

Statistical Mechanics · Physics 2014-01-14 Rama Cont , Jean-Philippe Bouchaud

This paper investigates short-term behaviors of implied volatility of derivatives written on indexes in equity markets when the index processes are constructed by using a ranking procedure. Even in simple market settings where stock prices…

Pricing of Securities · Quantitative Finance 2025-03-11 Huy N. Chau , Duy Nguyen , Thai Nguyen

Traded corporations are required by law to have a majority of outside directors on their board. This requirement allows the existence of directors who sit on the board of two or more corporations at the same time, generating what is…

General Finance · Quantitative Finance 2014-10-27 Serguei Saavedra , Luis J. Gilarranz , Rudolf P. Rohr , Michael Schnabel , Brian Uzzi , Jordi Bascompte

A great deal of academic and theoretical work has been dedicated to optimal liquidation of large orders these last twenty years. The optimal split of an order through time (`optimal trade scheduling') and space (`smart order routing') is of…

Trading and Market Microstructure · Quantitative Finance 2013-02-20 Charles-Albert Lehalle

Evidence is offered for log-periodic (in time) fluctuations in the S&P 500 stock index during the three years prior to the October 27, 1997 "correction". These fluctuations were expected on the basis of a discretely scale invariant rupture…

Condensed Matter · Physics 2015-06-25 James A. Feigenbaum , Peter G. O. Freund

We develop a new framework to detect wash trading in crypto assets through real-time liquidity fluctuation. We propose that short-term price jumps in crypto assets results from wash trading-induced liquidity fluctuation, and construct two…

Risk Management · Quantitative Finance 2025-04-01 Qi Deng , Zhong-Guo Zhou

The fundamental theorem behind financial markets is that stock prices are intrinsically complex and stochastic. One of the complexities is the volatility associated with stock prices. Volatility is a tendency for prices to change…

Statistical Finance · Quantitative Finance 2023-11-21 Leonard Mushunje , Maxwell Mashasha , Edina Chandiwana

To ensure reliable operation of power grids, their frequency shall stay within strict bounds. Multiple sources of disturbances cause fluctuations of the grid frequency, ranging from changing demand over volatile feed-in to energy trading.…

Statistical Finance · Quantitative Finance 2021-03-29 Benjamin Schäfer , Marc Timme , Dirk Witthaut

We model the arrival of mid-price changes in the E-Mini S&P futures contract as a self-exciting Hawkes process. Using several estimation methods, we find that the Hawkes kernel is power-law with a decay exponent close to -1.15 at short…

Statistical Finance · Quantitative Finance 2015-06-12 Stephen J. Hardiman , Nicolas Bercot , Jean-Philippe Bouchaud

Measuring systemic risk or fragility of financial systems is a ubiquitous task of fundamental importance in analyzing market efficiency, portfolio allocation, and containment of financial contagions. Recent attempts have shown that…

Risk Management · Quantitative Finance 2015-05-21 Romeil Sandhu , Tryphon Georgiou , Allen Tannenbaum

We analyze the memory in volatility by studying volatility return intervals, defined as the time between two consecutive fluctuations larger than a given threshold, in time periods following stock market crashes. Such an aftercrash period…

Physics and Society · Physics 2009-11-13 Philipp Weber , Fengzhong Wang , Irena Vodenska-Chitkushev , Shlomo Havlin , H. Eugene Stanley

Recent years have seen an unprecedented rise of the role that technology plays in all aspects of human activities. Unavoidably, technology has heavily entered the Capital Markets trading space, to the extent that all major exchanges are now…

Statistical Finance · Quantitative Finance 2015-05-05 Lucio Maria Calcagnile , Giacomo Bormetti , Michele Treccani , Stefano Marmi , Fabrizio Lillo

Long-range correlation in financial time series reflects the complex dynamics of the stock markets driven by algorithms and human decisions. Our analysis exploits ultra-high frequency order book data from NASDAQ Nordic over a period of…

Trading and Market Microstructure · Quantitative Finance 2017-11-10 Martin Magris , Jiyeong Kim , Esa Rasanen , Juho Kanniainen

Lead-lag relationships, integral to market dynamics, offer valuable insights into the trading behavior of high-frequency traders (HFTs) and the flow of information at a granular level. This paper investigates the lead-lag relationships…

Computational Finance · Quantitative Finance 2025-01-07 Guanlin Li , Xiyan Chen , Yingzheng Liu

In this paper, we develop a theory of market crashes resulting from a deleveraging shock. We consider two representative investors in a market holding different opinions about the public available information. The deleveraging shock forces…

General Finance · Quantitative Finance 2015-11-13 Liang Wu , Lei Zhang , Zhiming Fu

Volatility of intra-day stock market indices computed at various time horizons exhibits a scaling behaviour that differs from what would be expected from fractional Brownian motion (fBm). We investigate this anomalous scaling by using…

Computational Finance · Quantitative Finance 2016-02-17 Noemi Nava , T. Di Matteo , Tomaso Aste

This study evaluates the scale-dependent informational efficiency of stock markets using the Financial Chaos Index, a tensor-eigenvalue-based measure of realized volatility. Incorporating Granger causality and network-theoretic analysis…

Statistical Finance · Quantitative Finance 2025-05-06 Masoud Ataei