Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...

Hilbert spaces provide a fundamental mathematical framework for analysing infinite-dimensional vector spaces endowed with an inner product. In the context of stochastic processes, these spaces serve ...

In this paper we consider the second-order real-valued stochastic processes x(t), t ∊ (a, b) ⊂ R, with Ex(t) = 0, for each t, and analyze some characteristic examples of such processes and the ...

The structure of exponential families of stochastic processes with a time-continuous likelihood function is investigated by means of semimartingale theory. The time-homogeneous exponential families of ...

As global financial markets become increasingly interconnected, accurately modelling correlations between assets is essential. Traditional models often assume static correlations, which fail to ...

This course is compulsory on the BSc in Actuarial Science and BSc in Actuarial Science (with a Placement Year). This course is available on the BSc in Data Science, BSc in Financial Mathematics and ...