7 papers
Beyond Simulated Benchmarks: Evaluating Motion Representations for Fall Detection Under Real-World Data Scarcity
Timilehin B. Aderinola, Ilaria D'Ascanio, Luca Palmerini +5
Falls are a major health concern for older adults, and wearable sensors have been widely explored for detecting falls and enabling timely intervention. However, real-world falls ar…
All Y-friezes come from -friezes
Ian Short, Andrei Zabolotskii
We resolve a conjecture of de Saint Germain: all Y-friezes arise from -friezes. Additionally, we give a threefold characterisation of those -friezes t…
Beyond the Laurent phenomenon
Andrei Zabolotskii
In a cluster algebra, a subset of initial cluster variables can be specialised in such a way that all elements of the resulting algebra become polynomial in the remaining variables…
Classifying integer tilings and hypertilings
Oleg Karpenkov, Ian Short, Matty van Son +1
There are two objectives to this work: to classify all tame integer tilings and to classify all tame integer hypertilings. Motivation for the first objective comes from Conway and…
Wildest -tilings
Andrei Zabolotskii
Tame SL-tilings are related to Farey graph and friezes; much less is known about wild (not tame) SL-tilings. In this note, we demonstrate SL-tilings that are maximally…
Frieze patterns and Farey complexes
Ian Short, Matty Van Son, Andrei Zabolotskii
Frieze patterns have attracted significant attention recently, motivated by their relationship with cluster algebras. A longstanding open problem has been to provide a combinatoria…