5 papers · 1 filter
The Time-Periodic Cahn-Hilliard-Gurtin System on the Half Space as a Mixed-Order System with General Boundary Conditions
Guillaume Neuttiens, Jonas Sauer
A well-posedness and maximal regularity result for the time-periodic Cahn-Hilliard-Gurtin system in the half space is proved. For this purpose, we introduce a novel class of comple…
Limited-Range Multilinear Off-Diagonal Extrapolation and Weighted Transference Principle
Jonas Sauer
Multilinear extrapolation results are established in a limited-range, multilinear, and off-diagonal setting for mixed-norm Lebesgue spaces over -finite measure spaces. Int…
The Expiration Streaming Model: Diameter, -Center, Counting, Sampling, and Friends
Lotte Blank, Sergio Cabello, MohammadTaghi Hajiaghayi +5
An important thread in the study of data-stream algorithms focuses on settings where stream items are active only for a limited time. We introduce a new expiration model, where eac…
Bicriteria Polygon Aggregation with Arbitrary Shapes
Lotte Blank, David Eppstein, Jan-Henrik Haunert +6
We study the problem of aggregating a set of polygons by covering them with disjoint representative regions, thereby inducing a clustering of the polygons. Equivalently, this can b…
Weisfeiler and Leman Follow the Arrow of Time: Expressive Power of Message Passing in Temporal Event Graphs
Franziska Heeg, Jonas Sauer, Petra Mutzel +1
An important characteristic of temporal graphs is how the directed arrow of time influences their causal topology, i.e., which nodes can possibly influence each other causally via…