Research Output per year
Personal profile
Personal information
My personal webpage can be found here: http://www.few.vu.nl/~botnan/
Office: R526 (WN)
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Ancillary activities are updated daily
Fingerprint Dive into the research topics where Magnus Botnan is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
Persistence
Mathematics
Homology
Mathematics
Module
Mathematics
Zigzag
Mathematics
Kinetic Ising Model
Mathematics
Interleaving
Mathematics
homology
Physics & Astronomy
Ising model
Physics & Astronomy
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Research Output 2015 2018
Algebraic stability of zigzag persistence modules
Botnan, M. B. & Lesnick, M., 18 Oct 2018, In : Algebraic and Geometric Topology. 18, 6, p. 3133-3204 72 p.Research output: Contribution to Journal › Article › Academic › peer-review
Zigzag
Persistence
Stability Theorem
Module
Homology
Computational Complexity of the Interleaving Distance
Bjerkevik, H. B. & Botnan, M. B., 1 Jun 2018, 34th International Symposium on Computational Geometry (SoCG 2018). Toth, C. D. & Speckmann, B. (eds.). Dagstuhl: Schloss Dagstuhl - Leibniz-Zentrum für Informatik, p. 1-15 15 p. (Leibniz International Proceedings in Informatics (LIPIcs); vol. 99).Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review
Open Access
Interleaving
Computational Complexity
Module
Persistence
Reeb Graph
Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model
Spreemann, G., Dunn, B., Botnan, M. B. & Baas, N., 26 Mar 2018, In : Physical Review E. 97, 3, p. 1-14 14 p., 032313.Research output: Contribution to Journal › Article › Academic › peer-review
Kinetic Ising Model
homology
Ising model
Covariates
Homology
Interval decomposition of infinite zigzag persistence modules
Botnan, M. B., 1 Jan 2017, In : Proceedings of the American Mathematical Society. 145, 8, p. 3571-3577 7 p.Research output: Contribution to Journal › Article › Academic › peer-review
Zigzag
Persistence
Decomposition
Decompose
Module
Approximating persistent homology in Euclidean space through collapses
Botnan, M. B. & Spreemann, G., 1 Jan 2015, In : Applicable Algebra in Engineering, Communications and Computing. 26, 1-2, p. 73-101 29 p.Research output: Contribution to Journal › Article › Academic › peer-review
Persistence
Euclidean space
Homology
Topology
Algebraic topology