Curvature-dimension in noncommutative analysis

Project Period: 2021-12-01 – 2023-11-30

Externally Funded

Principal Investigator

Haonan Zhang

Department(s)

Maas Group

Grant Number

M03337

Funder

FWF

2024 |Published| Journal Article | IST-REx-ID: 15350 |

Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions
C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024).

[Published Version] View | Files available | DOI | arXiv

2024 |Published| Journal Article | IST-REx-ID: 13271 |

Some convexity and monotonicity results of trace functionals
H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

2024 |Published| Journal Article | IST-REx-ID: 13318 |

Noncommutative Bohnenblust–Hille inequalities
A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.

[Published Version] View | Files available | DOI | WoS | arXiv

2023 |Published| Journal Article | IST-REx-ID: 12087 |

Curvature-dimension conditions for symmetric quantum Markov semigroups
M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.

[Published Version] View | Files available | DOI | WoS | arXiv

2022 |Published| Journal Article | IST-REx-ID: 12210 |

Norms of certain functions of a distinguished Laplacian on the ax + b groups
R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, H. Zhang, Mathematische Zeitschrift 302 (2022) 2327–2352.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

2022 |Published| Journal Article | IST-REx-ID: 12216 |

Monotonicity versions of Epstein's concavity theorem and related inequalities
E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.

[Published Version] View | Files available | DOI | WoS