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).
LibreCat: https://research-explorer.ista.ac.at/record/15350
DOI: 10.1007/s00220-024-04981-0
arXiv: 2209.07279

Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
M. Wirth, Journal of Functional Analysis 287 (2024).
LibreCat: https://research-explorer.ista.ac.at/record/15373
DOI: 10.1016/j.jfa.2024.110475

Ergodic decompositions of Dirichlet forms under order isomorphisms
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
LibreCat: https://research-explorer.ista.ac.at/record/12104
DOI: 10.1007/s00028-022-00859-7
WoS: 000906214600004

Curvature-dimension conditions for symmetric quantum Markov semigroups
M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.
LibreCat: https://research-explorer.ista.ac.at/record/12087
DOI: 10.1007/s00023-022-01220-x
WoS: 000837499800002
arXiv: 2105.08303

Sobolev-type inequalities and eigenvalue growth on graphs with finite measure
B. Hua, M. Keller, M. Schwarz, M. Wirth, Proceedings of the American Mathematical Society 151 (2023) 3401–3414.
LibreCat: https://research-explorer.ista.ac.at/record/13177
DOI: 10.1090/proc/14361
WoS: 000988204400001
arXiv: 1804.08353

Derivations and KMS-symmetric quantum Markov semigroups
M. Vernooij, M. Wirth, Communications in Mathematical Physics 403 (2023) 381–416.
LibreCat: https://research-explorer.ista.ac.at/record/13319
DOI: 10.1007/s00220-023-04795-6
WoS: 001033655400002
arXiv: 2303.15949

Kac regularity and domination of quadratic forms
M. Wirth, Advances in Operator Theory 7 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/11916
DOI: 10.1007/s43036-022-00199-w

A dual formula for the noncommutative transport distance
M. Wirth, Journal of Statistical Physics 187 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/11330
DOI: 10.1007/s10955-022-02911-9
WoS: 000780305000001

Complete gradient estimates of quantum Markov semigroups
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
LibreCat: https://research-explorer.ista.ac.at/record/9973
DOI: 10.1007/s00220-021-04199-4
WoS: 000691214200001
arXiv: 2007.13506

Self-adjoint extensions of bipartite Hamiltonians
D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society 64 (2021) 443–447.
LibreCat: https://research-explorer.ista.ac.at/record/9627
DOI: 10.1017/S0013091521000080
WoS: 000721363700003
arXiv: 1912.03670

Uniqueness of form extensions and domination of semigroups
D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/15261
DOI: 10.1016/j.jfa.2020.108848