Melchior Wirth
Maas Group
12 Publications
2024 | Published | Journal Article | IST-REx-ID: 15373 |

Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
M. Wirth, Journal of Functional Analysis 287 (2024).
[Published Version]
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| Files available
| DOI
M. Wirth, Journal of Functional Analysis 287 (2024).
2024 | Published | Journal Article | IST-REx-ID: 18900 |

Modular completely Dirichlet forms as squares of derivations
M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.
[Published Version]
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| Files available
| DOI
M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.
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]
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| Files available
| DOI
| arXiv
C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024).
2023 | Published | Journal Article | IST-REx-ID: 13177 |

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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
B. Hua, M. Keller, M. Schwarz, M. Wirth, Proceedings of the American Mathematical Society 151 (2023) 3401–3414.
2023 | Published | Journal Article | IST-REx-ID: 13319 |

Derivations and KMS-symmetric quantum Markov semigroups
M. Vernooij, M. Wirth, Communications in Mathematical Physics 403 (2023) 381–416.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
M. Vernooij, M. Wirth, Communications in Mathematical Physics 403 (2023) 381–416.
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]
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| Files available
| DOI
| WoS
| arXiv
M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.
2023 | Published | Journal Article | IST-REx-ID: 12104 |

Ergodic decompositions of Dirichlet forms under order isomorphisms
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
[Published Version]
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| Files available
| DOI
| WoS
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
2022 | Published | Journal Article | IST-REx-ID: 11330 |

A dual formula for the noncommutative transport distance
M. Wirth, Journal of Statistical Physics 187 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
M. Wirth, Journal of Statistical Physics 187 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11916 |

Kac regularity and domination of quadratic forms
M. Wirth, Advances in Operator Theory 7 (2022).
[Published Version]
View
| Files available
| DOI
M. Wirth, Advances in Operator Theory 7 (2022).
2021 | Published | Journal Article | IST-REx-ID: 9627 |

Self-adjoint extensions of bipartite Hamiltonians
D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society 64 (2021) 443–447.
[Published Version]
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| DOI
| Download Published Version (ext.)
| WoS
| arXiv
D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society 64 (2021) 443–447.
2021 | Published | Journal Article | IST-REx-ID: 9973 |

Complete gradient estimates of quantum Markov semigroups
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
2021 | Published | Journal Article | IST-REx-ID: 15261
Uniqueness of form extensions and domination of semigroups
D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).
View
| DOI
D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).
Grants
12 Publications
2024 | Published | Journal Article | IST-REx-ID: 15373 |

Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
M. Wirth, Journal of Functional Analysis 287 (2024).
[Published Version]
View
| Files available
| DOI
M. Wirth, Journal of Functional Analysis 287 (2024).
2024 | Published | Journal Article | IST-REx-ID: 18900 |

Modular completely Dirichlet forms as squares of derivations
M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.
[Published Version]
View
| Files available
| DOI
M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.
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
C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024).
2023 | Published | Journal Article | IST-REx-ID: 13177 |

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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
B. Hua, M. Keller, M. Schwarz, M. Wirth, Proceedings of the American Mathematical Society 151 (2023) 3401–3414.
2023 | Published | Journal Article | IST-REx-ID: 13319 |

Derivations and KMS-symmetric quantum Markov semigroups
M. Vernooij, M. Wirth, Communications in Mathematical Physics 403 (2023) 381–416.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
M. Vernooij, M. Wirth, Communications in Mathematical Physics 403 (2023) 381–416.
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
M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.
2023 | Published | Journal Article | IST-REx-ID: 12104 |

Ergodic decompositions of Dirichlet forms under order isomorphisms
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
[Published Version]
View
| Files available
| DOI
| WoS
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
2022 | Published | Journal Article | IST-REx-ID: 11330 |

A dual formula for the noncommutative transport distance
M. Wirth, Journal of Statistical Physics 187 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
M. Wirth, Journal of Statistical Physics 187 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11916 |

Kac regularity and domination of quadratic forms
M. Wirth, Advances in Operator Theory 7 (2022).
[Published Version]
View
| Files available
| DOI
M. Wirth, Advances in Operator Theory 7 (2022).
2021 | Published | Journal Article | IST-REx-ID: 9627 |

Self-adjoint extensions of bipartite Hamiltonians
D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society 64 (2021) 443–447.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| WoS
| arXiv
D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society 64 (2021) 443–447.
2021 | Published | Journal Article | IST-REx-ID: 9973 |

Complete gradient estimates of quantum Markov semigroups
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
2021 | Published | Journal Article | IST-REx-ID: 15261
Uniqueness of form extensions and domination of semigroups
D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).
View
| DOI
D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).