20 citations · 39 across the 6 of their papers we have counts for
8 papers
Mixing inequalities in Riesz spaces
Wen-Chi Kuo, Michael Rogans, Bruce Alastair Watson
Various topics in stochastic processes have been considered in the abstract setting of Riesz spaces, for example martingales, martingale convergence, ergodic theory, AMARTS, Markov…
Markov processes on Riesz spaces
Jessica Joy Vardy, Bruce Alastair Watson
Measure-free discrete time stochastic processes in Riesz spaces were formulated and studied by Kuo, Labuschagne and Watson. Aspects relating martingales, stopping times, convergenc…
Indefinite boundary value problems on graphs
Sonja Currie, Bruce Alastair Watson
We consider the spectral structure of indefinite second order boundary-value problems on graphs. A variational formulation for such boundary-value problems on graphs is given and w…
Mixingales on Riesz spaces
Wen-Chi Kuo, Jessica Joy Vardy, Bruce Alastair Watson
A mixingale is a stochastic process which combines properties of martingales and mixing sequences. McLeish introduced the term mixingale at the Conference on Stochastic Pr…
Inverse scattering on the line with a transfer condition
Sonja Currie, Marlena Nowaczyk, Bruce Alastair Watson
The inverse scattering problem for Sturm-Liouville operators on the line with a matrix transfer condition at the origin is considered. We show that the transfer matrix can be recon…
Canonical systems in with periodic potentials and vanishing instability intervals
Sonja Currie, Thomas Tobias Roth, Bruce Alastair Watson
Canonical systems in with absolutely continuous real symmetric -periodic potentials matrices are considered. A through analysis of the discriminant is given along…