2 papers
math.CO2022
Couplings and Matchings: Combinatorial notes on Strassen's theorem
Twan Koperberg
Some mathematical theorems represent ideas that are discovered again and again in different forms. One such theorem is Hall's marriage theorem. This theorem is equivalent to severa…
math.PR2021
Loop-erased partitioning of a network: monotonicities & analysis of cycle-free graphs
Luca Avena, Jannetje Driessen, Twan Koperberg
We consider random partitions of the vertex set of a given finite graph that can be sampled by means of loop-erased random walks stopped at a random exponential time of parameter $…