3 citations · 5 across the 2 of their papers we have counts for
6 papers
Set Theory and the Analyst
N. H. Bingham, A. J. Ostaszewski
This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure -- category-measure duality and non-duality…
Variants on the Berz sublinearity theorem
N. H. Bingham, A. J. Ostaszewski
We consider variants on the classical Berz sublinearity theorem, using only DC, the Axiom of Dependent Choices, rather than AC, the Axiom of Choice which Berz used. We consider thi…
Effros, Baire, Steinhaus and Non-Separability
A. J. Ostaszewski
We give a short proof of an improved version of the Effros Open Mapping Principle via a shift-compactness theorem (also with a short proof), involving `sequential analysis' rather…
Stable laws and Beurling kernels
Adam J. Ostaszewski
We identify a close relation between stable distributions and the limiting homomorphisms central to the theory of regular variation. In so doing some simplifications are achieved i…
The Sound of Silence: equilibrium filtering and optimal censoring in financial markets
Miles B. Gietzmann, Adam J. Ostaszewski
Following the approach of standard filtering theory, we analyse investor-valuation of firms, when these are modelled as geometric-Brownian state processes that are privately and pa…
Uniformity and self-neglecting functions
N. H. Bingham, A. J. Ostaszewski
We relax the continuity assumption in Bloom's uniform convergence theorem for Beurling slowly varying functions ϕ. We assume that ϕhas the Darboux property, and obtain results for…