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Betweenness centrality illuminates intermittent frictional dynamics
(2021)arXivDense granular systems subjected to an imposed shear stress undergo stick-slip dynamics with systematic patterns of dilation-compaction. During each stick phase, as the frictional strength builds up, the granular system dilates to accommodate shear strain, developing stronger force networks. During each slip event, when the stored energy is released, particles experience large rearrangements and the granular network can significantly ...Working Paper -
Design and Evaluation of User-Centered Exergames for Patients With Multiple Sclerosis: Multilevel Usability and Feasibility Studies
(2020)JMIR PreprintsBackground: Multiple sclerosis (MS) is a chronic inflammatory disease of the central nervous system and the commonest cause of neurological disabilities in young adults. MS patients suffer from a wide range of physical and cognitive dysfunctions that affect their quality of life. A promising training approach that concurrently trains physical and cognitive functions is video game-based physical exercising, so-called exergaming. Previous ...Working Paper -
A G protein-coupled receptor is required in cartilaginous and dense connective tissues to maintain spine alignment
(2021)bioRxivAdolescent idiopathic scoliosis (AIS) is the most common spine disorder affecting children worldwide, yet little is known about the pathogenesis of this disorder. Here, we demonstrate that genetic regulation of structural components of the axial skeleton, the intervertebral discs and dense connective tissues (e.g., ligaments and tendons), are essential for maintenance of spinal alignment. We show that the G-coupled protein receptor Adgrg6, ...Working Paper -
Translates of rationals along expanding closed horocycles on the modular surface
(2020)arXivWe study the limiting distribution of the rational points under a horizontal translation along a sequence of expanding closed horocycles on the modular surface. Using spectral methods we confirm equidistribution of these sample points for any translate when the sequence of horocycles expands within a certain polynomial range. We show that the equidistribution fails for generic translates and a slightly faster expanding rate. We also prove ...Working Paper -
Normed amenability and bounded cohomology over non-Archimedean fields
(2020)arXivWe study continuous bounded cohomology of totally disconnected locally compact groups with coefficients in a non-Archimedian field K. To capture the features of classical amenability that induce the vanishing of real bounded cohomology, we introduce the notion of normed K-amenability, of which we prove an algebraic characterization. It implies that normed K-amenable groups are locally elliptic, and it relates an invariant, the norm of a ...Working Paper -
Weak Transport for Non-Convex Costs and Model-independence in a Fixed-Income Market
(2020)arXivWe consider a model-independent pricing problem in a fixed-income market and show that it leads to a weak optimal transport problem as introduced by Gozlan et al. We use this to characterize the extremal models for the pricing of caplets on the spot rate and to establish a first robust super-replication result that is applicable to fixed-income markets. Notably, the weak transport problem exhibits a cost function which is non-convex and ...Working Paper -
Control-bounded analog-to-digital conversion: transfer function analysis, proof of concept, and digital filter implementation
(2020)arXivControl-bounded analog-to-digital conversion has many commonalities with delta-sigma conversion, but it can profitably use more general analog filters. The paper describes the operating principle, gives a transfer function analysis, presents a proof-of-concept implementation, and describes the digital filtering in detail.Working Paper -
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Infinite sums of Brooks quasimorphisms and cup products in bounded cohomology
(2020)arXivWe study a class of quasimorphisms of the free group that can be expressed as infinite sums of Brooks quasimorphisms with some nice properties. We then review Heuer's framework of decompositions developed in arXiv:1710.03193, and put these quasimorphisms in that context. This allows us to prove triviality of a number of cup products in the bounded cohomology of the free group with trivial real coefficients. Finally, we introduce free ...Working Paper -
Nonclassical Temporal Correlations Enhance the Performance of Ticking Clocks
(2020)arXivWe investigate the role of nonclassical temporal correlations in enhancing the performance of ticking clocks in a discrete-time scenario. We show that the problem of optimal models for ticking clocks is related to the violation of Leggett-Garg-type temporal inequalities formulated in terms of, possibly invasive, sequential measurements, but on a system with a bounded memory capacity. Moreover, the idea of ticking clocks inspires the ...Working Paper