5 citations · 7 across the 8 of their papers we have counts for
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math.RT2020
Local characterizations for decomposability of 2-parameter persistence modules
Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot
We investigate the existence of sufficient local conditions under which poset representations decompose as direct sums of indecomposables from a given class. In our work, the index…
math.AT2020
On rectangle-decomposable 2-parameter persistence modules
Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot
This paper addresses two questions: (a) can we identify a sensible class of 2-parameter persistence modules on which the rank invariant is complete? (b) can we determine efficientl…