4 papers
Modelling Uncertain Volatility Using Quantum Stochastic Calculus: Unitary vs Non-Unitary Time Evolution
Will Hicks
In this article we look at stochastic processes with uncertain parameters, and consider different ways in which information is obtained when carrying out observations. For example…
Information Entropy of the Financial Market: Modelling Random Processes Using Open Quantum Systems
Will Hicks
We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show ho…
Modelling Illiquid Stocks Using Quantum Stochastic Calculus: Asymptotic Methods
Will Hicks
This article investigates the Fokker-Planck equations that arise from the application of quantum stochastic calculus to the modelling of illiquid financial markets, using asymptoti…
Modelling Illiquid Stocks Using Quantum Stochastic Calculus
Will Hicks
Quantum Stochastic Calculus can be used as a means by which randomness can be introduced to observables acting on a Hilbert space. In this article we show how the mechanisms of Qua…