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Magnus Bakke Botnan
Magnus Bakke Botnan
Assistant Professor, VU University Amsterdam
Verified email at vu.nl - Homepage
Title
Cited by
Cited by
Year
Algebraic stability of zigzag persistence modules
M Botnan, M Lesnick
Algebraic & geometric topology 18 (6), 3133-3204, 2018
1072018
Decomposition of persistence modules
M Botnan, W Crawley-Boevey
Proceedings of the American Mathematical Society 148 (11), 4581-4596, 2020
752020
An efficient embedder for BCH coding for steganography
R Zhang, V Sachnev, MB Botnan, HJ Kim, J Heo
IEEE Transactions on Information Theory 58 (12), 7272-7279, 2012
612012
Computing the interleaving distance is NP-hard
HB Bjerkevik, MB Botnan, M Kerber
Foundations of Computational Mathematics 20, 1237-1271, 2020
472020
Approximating persistent homology in Euclidean space through collapses
MB Botnan, G Spreemann
Applicable Algebra in Engineering, Communication and Computing 26, 73-101, 2015
462015
Computational complexity of the interleaving distance
MB Botnan, HB Bjerkevik
Schloss Dagstuhl-Leibniz-Zentrum für Informatik, 2018
32*2018
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
U Bauer, MB Botnan, S Oppermann, J Steen
Advances in Mathematics 369, 107171, 2020
312020
An introduction to multiparameter persistence
MB Botnan, M Lesnick
arXiv preprint arXiv:2203.14289, 2022
302022
Interval decomposition of infinite zigzag persistence modules
MB Botnan
Proceedings of the American Mathematical Society 145 (8), 3571-3577, 2017
302017
On rectangle-decomposable 2-parameter persistence modules
MB Botnan, V Lebovici, S Oudot
arXiv preprint arXiv:2002.08894, 2020
252020
Signed barcodes for multi-parameter persistence via rank decompositions and rank-exact resolutions
MB Botnan, S Oppermann, S Oudot
arXiv preprint arXiv:2107.06800, 2021
232021
Signed barcodes for multi-parameter persistence via rank decompositions
MB Botnan, S Oppermann, S Oudot
38th International Symposium on Computational Geometry (SoCG 2022), 2022
152022
Using persistent homology to reveal hidden information in neural data
G Spreemann, B Dunn, MB Botnan, NA Baas
arXiv preprint arXiv:1510.06629, 2015
142015
A relative theory of interleavings
MB Botnan, J Curry, E Munch
arXiv preprint arXiv:2004.14286, 2020
122020
Using persistent homology to reveal hidden covariates in systems governed by the kinetic ising model
G Spreemann, B Dunn, MB Botnan, NA Baas
Physical Review E 97 (3), 032313, 2018
102018
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
MB Botnan, S Oppermann, S Oudot, L Scoccola
arXiv preprint arXiv:2208.00300, 2022
52022
Local characterizations for decomposability of 2-parameter persistence modules
MB Botnan, V Lebovici, S Oudot
Algebras and Representation Theory, 1-44, 2023
42023
Universality of the bottleneck distance for extended persistence diagrams
U Bauer, M Bakke Botnan, B Fluhr
arXiv e-prints, arXiv: 2007.01834, 2020
42020
On the consistency and asymptotic normality of multiparameter persistent betti numbers
MB Botnan, C Hirsch
Journal of Applied and Computational Topology, 1-38, 2022
32022
Structure and interleavings of relative interlevel set cohomology
U Bauer, MB Botnan, B Fluhr
arXiv preprint arXiv:2108.09298, 2021
32021
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