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In view of the fundamental importance and many promising potential applications, non-Abelian statistics of topologically protected states have attracted much attention recently. However, due to the operational difficulties in solid-state…

Quantum Physics · Physics 2020-02-14 Jun-Yi Cao , Jia Liu , L. B. Shao , Zheng-Yuan Xue

Stock selection attempts to rank a list of stocks for optimizing investment decision making, aiming at minimizing investment risks while maximizing profit returns. Recently, researchers have developed various (recurrent) neural…

Statistical Finance · Quantitative Finance 2022-10-31 Qiang Gao , Xinzhu Zhou , Kunpeng Zhang , Li Huang , Siyuan Liu , Fan Zhou

Fluctuations in stock prices are influenced by a complex interplay of factors that go beyond mere historical data. These factors, themselves influenced by external forces, encompass inter-stock dynamics, broader economic factors, various…

Statistical Finance · Quantitative Finance 2026-02-12 Ambedkar Dukkipati , Kawin Mayilvaghanan , Naveen Kumar Pallekonda , Sai Prakash Hadnoor , Ranga Shaarad Ayyagari

The colored Jones polynomial is a knot invariant that plays a central role in low dimensional topology. We give a simple and an efficient algorithm to compute the colored Jones polynomial of any knot. Our algorithm utilizes the walks along…

Quantum Algebra · Mathematics 2018-05-04 Mustafa Hajij , Jesse Levitt

Anyons are quasiparticles in two-dimensional systems that show statistical properties very distinct from those of bosons or fermions. While their isolated observation has not yet been achieved, here we perform a quantum simulation of anyons…

Quantum Physics · Physics 2009-08-14 J. K. Pachos , W. Wieczorek , C. Schmid , N. Kiesel , R. Pohlner , H. Weinfurter

Stock market price prediction is a significant interdisciplinary research domain that depends at the intersection of finance, statistics, and economics. Forecasting Accurately predicting stock prices has always been a focal point for…

Artificial Intelligence · Computer Science 2026-01-19 Navin Chhibber , Sunil Khemka , Navneet Kumar Tyagi , Rohit Tewari , Bireswar Banerjee , Piyush Ranjan

Financial market dynamics is rigorously studied via the exact generalized Langevin equation. Assuming market Brownian self-similarity, the market return rate memory and autocorrelation functions are derived, which exhibit an…

Statistical Finance · Quantitative Finance 2013-06-17 R. Tsekov

Understanding the mutual relationships between information flows and social activity in society today is one of the cornerstones of the social sciences. In financial economics, the key issue in this regard is understanding and quantifying…

Machine Learning · Statistics 2015-06-11 Ryohei Hisano , Didier Sornette , Takayuki Mizuno , Takaaki Ohnishi , Tsutomu Watanabe

The paper studies intraday price movement of stocks that is considered as an image classification problem. Using a CNN-based model we make a compelling case for the high-level relationship between the first hour of trading and the close.…

Pricing of Securities · Quantitative Finance 2025-08-26 Matej Steinbacher

A new model for the stock market price analysis is proposed. It is suggested to look at price as an everywhere discontinuous function of time of bounded variation.

General Finance · Quantitative Finance 2011-04-13 Aleksey Kharevsky

--- the companies populating a Stock market, along with their connections, can be effectively modeled through a directed network, where the nodes represent the companies, and the links indicate the ownership. This paper deals with this…

Statistical Finance · Quantitative Finance 2018-07-26 Roy Cerqueti , Giulia Rotundo , Marcel Ausloos

This paper proposes a theory of stock market predictability patterns based on a model of heterogeneous beliefs. In a discrete finite time framework, some agents receive news about an asset's fundamental value through a noisy signal. The…

Pricing of Securities · Quantitative Finance 2024-06-13 Jiho Park

We investigate the general problem of how to model the kinematics of stock prices without considering the dynamical causes of motion. We propose a stochastic process with long-range correlated absolute returns. We find that the model is…

Disordered Systems and Neural Networks · Physics 2008-12-02 M. Serva , U. L. Fulco , M. L. Lyra , G. M. Viswanathan

In this paper we seek to demonstrate the predictability of stock market returns and explain the nature of this return predictability. To this end, we introduce investors with different investment horizons into the news-driven, analytic,…

General Finance · Quantitative Finance 2016-03-30 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov

Quantum theory provides a comprehensive framework for quantifying uncertainty, often applied in quantum finance to explore the stochastic nature of asset returns. This perspective likens returns to microscopic particle motion, governed by…

Mathematical Finance · Quantitative Finance 2024-01-12 Li Lin

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

In this paper, we investigate the application of quantum and quantum-inspired machine learning algorithms to stock return predictions. Specifically, we evaluate the performance of quantum neural network, an algorithm suited for noisy…

Machine Learning · Computer Science 2024-02-28 Nozomu Kobayashi , Yoshiyuki Suimon , Koichi Miyamoto , Kosuke Mitarai

Knots are fascinating topological structures that have been observed in various contexts, ranging from micro-worlds to macro-systems, and are conjectured to play a fundamental role in their respective fields. In order to characterize their…

Biological Physics · Physics 2021-10-27 Tian Chen , Xingen Zheng , Qingsong Pei , Deyuan Zou , Houjun Sun , Xiangdong Zhang

Quantum machine learning offers a promising pathway for enhancing stock market prediction, particularly under complex, noisy, and highly dynamic financial environments. However, many classical forecasting models struggle with noisy input,…

Machine Learning · Computer Science 2026-02-16 Chi-Sheng Chen , Xinyu Zhang , En-Jui Kuo , Rong Fu , Qiuzhe Xie , Fan Zhang

Econophysics has developed as a research field that applies the formalism of Statistical Mechanics and Quantum Mechanics to address Economics and Finance problems. The branch of Econophysics that applies of Quantum Theory to Economics and…

Computational Finance · Quantitative Finance 2015-08-27 Carlos Pedro Gonçalves
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