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Cubature methods, a powerful alternative to Monte Carlo due to Kusuoka~[Adv.~Math.~Econ.~6, 69--83, 2004] and Lyons--Victoir~[Proc.~R.~Soc.\\Lond.~Ser.~A 460, 169--198, 2004], involve the solution to...
The information-based asset-pricing framework of Brody, Hughston and Mac-rina (BHM) is extended to include a wider class of models for market information.In the BHM framework, each asset is associated...
We introduce the concept of "negative bubbles" as the mirror image of standard financial bubbles, in which positive feedback mechanisms may lead to transient accelerating price falls. To model these n...
The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the...
An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation function...
Financial Atoms and Molecules      Financial Atoms  Molecules        2010/10/29
Atoms and molecules are important conceptual entities we invented to understand the physical world around us. The key to their usefulness lies in the organization of nuclear and electronic degrees of ...
The Marˇcenko-Pastur 1967 paper [1] on the spectrum of empirical correlation matrices is both remarkable and precocious. It turned out to be useful in many, very different contexts (neural networks, i...
We investigate the probability distributions of the recurrence intervals  between consecutive 1-min returns above a positive threshold q > 0 or below a negative threshold q < 0 of two indices and 20...
We analytically present the financial rogue waves in the nonlinear option pricing model due to Ivancevic, which is nonlinear wave alternative of the Black-Scholes model. These rogue wave solutions may...

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