Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves
@article{Landry2021MetricAO, title={Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves}, author={Therese-Marie Landry and Michel L. Lapidus and Fr{\'e}d{\'e}ric Latr{\'e}moli{\`e}re}, journal={Advances in Mathematics}, year={2021} }
2 Citations
Classical MDS on Metric Measure Spaces
- Mathematics
- 2022
. We study a generalization of the classical Multidimensional Scaling procedure (cMDS) to the setting of general metric measure spaces. We identify certain crucial spectral properties of the…
Convergence of Spectral Triples on Fuzzy Tori to Spectral Triples on Quantum Tori
- MathematicsCommunications in Mathematical Physics
- 2021
Fuzzy tori are finite dimensional C*-algebras endowed with an appropriate notion of noncommutative geometry inherited from an ergodic action of a finite closed subgroup of the torus, which are meant…
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