2 papers
math.PR2024
Extending the noise of splitting to its completion and stability of Brownian maxima
Matija Vidmar, Jon Warren
The stochastic noise of splitting, defined initially on the (basic) algebra of finite unions of intervals of the real line, is extended to a largest class of domains. The -field…
math.PR2022
Stationary local random countable sets over the Wiener noise
Matija Vidmar, Jon Warren
The times of Brownian local minima, maxima and their union are three distinct examples of local, stationary, dense, random countable sets associated with classical Wiener noise. Be…