Correlation bounds, mixing and m-dependence under random time-varying network distances with an application to Cox-proce...
status: accepted
Order based on associative operations
Inspired by the classical works on obtaining order from semigroups, recently, many researchers have proposed orders based on associative fuzzy logic connectives. However, the use of these monotone operators succinctly assumes and implies the presence of an (existing) order on the underlying set. In this work, we consider associative operations F on...
Can the interference effect in multiplication fact retrieval be modulated by an arithmetic training? An fMRI study
Single-digit multiplications are thought to be associated with different levels of interference because they show different degrees of feature overlap (i.e., digits) with previously learnt problems. Recent behavioral and neuroimaging studies provided evidence for this interference effect and showed that individual differences in arithmetic fact ret...
Non-commutative differentiation and estimates on operator integrals
In 2017 Martijn Caspers, Fedor Sukochev and Dmitriy Zanin published a paper which generalises the proof of Davies' 1988 paper, and thus resolves the Nazarov-Peller conjecture. The proofs of these papers have been presented in this thesis. They have been expanded with a proof that generalises the conjecture to arbitrary Schatten classes. The optimal...
Class Maps for Visualizing Classification Results
status: published
Protecting pegged currency markets from speculative investors
We consider a stochastic game between a trader and a central bank in a target zone market with a lower currency peg. This currency peg is maintained by the central bank through the generation of permanent price impact, thereby aggregating an ever-increasing risky position in foreign reserves. We describe this situation mathematically by means of tw...
Open Dynamic Situations of Classroom Use of Digital Technologies: Investigating Teachers’ Interventions
Published in Canadian Journal of Science, Mathematics and Technology Education
This study addresses teachers’ activity when working with digital technologies (DT) in their classrooms. We build upon a model that considers teaching as managing open dynamic situations . Within the model, teachers’ activity is viewed as diagnosing students’ mathematical activity, managing uncertainties due to the characteristics of the situation ...
Quantile regression for longitudinal data via the multivariate generalized hyperbolic distribution
status: published
On linear optimization over Wasserstein balls
Wasserstein balls, which contain all probability measures within a pre-specified Wasserstein distance to a reference measure, have recently enjoyed wide popularity in the distributionally robust optimization and machine learning communities to formulate and solve data-driven optimization problems with rigorous statistical guarantees. In this techni...
Duality for optimal consumption with randomly terminating income
We establish a rigorous duality theory, under No Unbounded Profit with Bounded Risk, for an infinite horizon problem of optimal consumption in the presence of an income stream that can terminate randomly at an exponentially distributed time, independent of the asset prices. We thus close a duality gap encountered in the Davis-Vellekoop example in a...
