- Jun 2021
-
en.wikipedia.org en.wikipedia.org
-
To put it succinctly, differential topology studies structures on manifolds that, in a sense, have no interesting local structure. Differential geometry studies structures on manifolds that do have an interesting local (or sometimes even infinitesimal) structure.
Differential topology take a more global view and studies structures on manifolds that have no interesting local structure while differential geometry studies structures on manifolds that have interesting local structures.
-
- May 2021
-
phirephoenix.com phirephoenix.com
-
In an individual model of privacy, we are only as private as our least private friend.
So don't have any friends?
Obviously this isn't a thing, but the implications of this within privacy models can be important.
Are there ways to create this as a ceiling instead of as a floor? How might we use topology to flip this script?
-
- Jan 2021
-
www.quantamagazine.org www.quantamagazine.org
-
In a more recent paper, Michelle Feng and Mason Porter used a new technique called persistent homology to detect political islands — geographical holes in one candidate’s support that serve as spots of support for the other candidate — in California during the 2016 presidential election.
-
- Nov 2020
-
en.wikipedia.org en.wikipedia.org
Tags
Annotators
URL
-
- Oct 2020
-
link.aps.org link.aps.org
-
Burda, Z., Kotwica, M., & Malarz, K. (2020). Ageing of complex networks. Physical Review E, 102(4), 042302. https://doi.org/10.1103/PhysRevE.102.042302
-
- Jun 2020
-
iopscience.iop.org iopscience.iop.org
-
Parisi, F., Squartini, T., & Garlaschelli, D. (2020). A faster horse on a safer trail: Generalized inference for the efficient reconstruction of weighted networks. New Journal of Physics, 22(5), 053053. https://doi.org/10.1088/1367-2630/ab74a7
-
- May 2020
-
arxiv.org arxiv.org
-
O’Keeffe, K. P., Griffith, V., Xu, Y., Santi, P., & Ratti, C. (2020). The darkweb: A social network anomaly. ArXiv:2005.14023 [Nlin, Physics:Physics]. http://arxiv.org/abs/2005.14023
-
-
journals.plos.org journals.plos.org
-
Rivkind, A., Schreier, H., Brenner, N., & Barak, O. (2020). Scale free topology as an effective feedback system. PLOS Computational Biology, 16(5), e1007825. https://doi.org/10.1371/journal.pcbi.1007825
-
-
psyarxiv.com psyarxiv.com
-
Segovia-Martín, J., & Tamariz, M. (2020, May 5). Testing early and late connectivity dynamics in the lab: an experiment using 4-agent micro-societies. https://doi.org/10.31234/osf.io/nuf78
-
-
link.aps.org link.aps.org
-
Krönke, J., Wunderling, N., Winkelmann, R., Staal, A., Stumpf, B., Tuinenburg, O. A., & Donges, J. F. (2020). Dynamics of tipping cascades on complex networks. Physical Review E, 101(4), 042311. https://doi.org/10.1103/PhysRevE.101.042311
-
- Apr 2020
-
-
Chaves, M. S., Mattos, T. G., & Atman, A. P. F. (2020). Characterizing network topology using first-passage analysis. Physical Review E, 101(4), 042123. https://doi.org/10.1103/PhysRevE.101.042123
-
- Oct 2019
-
www.iste.co.uk www.iste.co.uk
-
Topological Structures: How Objects are Organized in Spatial Systems
-
- Apr 2019
- Dec 2015
-
math.mit.edu math.mit.eduCT4S.pdf1
-
All this time, however, category theory was consistently seen by much of the mathe-matical community as ridiculously abstract. But in the 21st century it has finally cometo find healthy respect within the larger community of pure mathematics. It is the lan-guage of choice for graduate-level algebra and topology courses, and in my opinion willcontinue to establish itself as the basic framework in which mathematics is done
-