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arXiv · 1710.08860

A Topological Approach to Scaling in Financial Data

Jean de Carufel·Martin Brooks·Michael Stieber·Paul Britton
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Abstract

There is a large body of work, built on tools developed in mathematics and physics, demonstrating that financial market prices exhibit self-similarity at different scales. In this paper, we explore the use of analytical topology to characterize financial price series. While wavelet and Fourier transforms decompose a signal into sets of wavelets and power spectrum respectively, the approach presented herein decomposes a time series into components of its total variation. This property is naturally suited for the analysis of scaling characteristics in fractals.

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Jean de Carufel, Martin Brooks, Michael Stieber, Paul Britton. 2017-10-24. A Topological Approach to Scaling in Financial Data. https://arxiv.org/abs/1710.08860

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