Uncertainty relations in models of market microstructure

Mathematics – Probability

Scientific paper

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7 pages, 3 figures, presented at the 1st Bonzenfreies Colloquium on Market Dynamics and Quantitative Economics

Scientific paper

10.1016/j.physa.2005.02.085

This paper presents a new interacting particle system and uses it as a spin
model for financial market microstructure. The asymptotic analysis of this
stochastic process exhibits a lower bound to the contemporaneous measurement of
price and trading volume under the invariant measure in the `frozen' phase of
the supercritical regime.

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