4 papers
Topological Signatures of Diffusive Release in Porous Media
Donghan Kim
We used persistent homology to quantify the multiscale topological and geometric organization of porous media, including solid connectivity and the formation of loop-like and cavit…
Pathwise integration beyond Young via Faber--Schauder energy spaces
Donghan Kim
We develop a pathwise integration theory based on Faber--Schauder energy spaces. The approach replaces the classical Hölder--Young and finite-variation Young conditions by dyadic s…
Banach spaces of continuous paths with finite -th variation
Purba Das, Donghan Kim, Fang Rui Lim
We study pathwise -th variation of continuous paths on a compact interval along a fixed partition sequence. Although the class of continuous paths with finite -th variation i…
Robot Metabolism: Towards machines that can grow by consuming other machines
Philippe Martin Wyder, Riyaan Bakhda, Meiqi Zhao +17
Biological lifeforms can heal, grow, adapt, and reproduce -- abilities essential for sustained survival and development. In contrast, robots today are primarily monolithic machines…