# Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

@article{Mcdonald2021DixmierTF, title={Dixmier trace formulas and negative eigenvalues of Schr{\"o}dinger operators on curved noncommutative tori}, author={Edward Mcdonald and Raphael Ponge}, journal={Advances in Mathematics}, year={2021} }

## 2 Citations

### Noncommutative Wiener–Wintner type ergodic theorems

- MathematicsStudia Mathematica
- 2022

. In this article, we obtain a version of the noncommutative Banach Principle suitable to prove Wiener-Wintner type results for weights in W 1 space. This is used to obtain noncommutative…

### Connes' integration and Weyl's laws

- Mathematics
- 2021

This paper deal with some questions regarding the notion of integral in the framework of Connes’s noncommutative geometry. First, we present a purely spectral theoretic construction of Connes’…

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