Melchior Wirth
13 Publications
2025 | Published | Journal Article | IST-REx-ID: 19625 |

Kumar RR, Wirth M. 2025. Operator-valued twisted Araki–Woods algebras. Communications in Mathematical Physics. 406(5), 110.
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2024 | Published | Journal Article | IST-REx-ID: 15373 |

Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475.
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2024 | Published | Journal Article | IST-REx-ID: 18900 |

Wirth M. 2024. Modular completely Dirichlet forms as squares of derivations. International Mathematics Research Notices. 2024(14), 10597–10614.
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2024 | Published | Journal Article | IST-REx-ID: 15350 |

Rouzé C, Wirth M, Zhang H. 2024. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. Communications in Mathematical Physics. 405(4), 95.
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2023 | Published | Journal Article | IST-REx-ID: 13177 |

Hua B, Keller M, Schwarz M, Wirth M. 2023. Sobolev-type inequalities and eigenvalue growth on graphs with finite measure. Proceedings of the American Mathematical Society. 151(8), 3401–3414.
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2023 | Published | Journal Article | IST-REx-ID: 12104 |

Dello Schiavo L, Wirth M. 2023. Ergodic decompositions of Dirichlet forms under order isomorphisms. Journal of Evolution Equations. 23(1), 9.
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2023 | Published | Journal Article | IST-REx-ID: 12087 |

Wirth M, Zhang H. 2023. Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 24, 717–750.
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2023 | Published | Journal Article | IST-REx-ID: 13319 |

Vernooij M, Wirth M. 2023. Derivations and KMS-symmetric quantum Markov semigroups. Communications in Mathematical Physics. 403, 381–416.
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| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11916 |

Wirth M. 2022. Kac regularity and domination of quadratic forms. Advances in Operator Theory. 7(3), 38.
[Published Version]
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2022 | Published | Journal Article | IST-REx-ID: 11330 |

Wirth M. 2022. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 187(2), 19.
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2021 | Published | Journal Article | IST-REx-ID: 9627 |

Lenz D, Weinmann T, Wirth M. 2021. Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. 64(3), 443–447.
[Published Version]
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| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9973 |

Wirth M, Zhang H. 2021. Complete gradient estimates of quantum Markov semigroups. Communications in Mathematical Physics. 387, 761–791.
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 15261 |

Lenz D, Schmidt M, Wirth M. 2021. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 280(6), 108848.
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13 Publications
2025 | Published | Journal Article | IST-REx-ID: 19625 |

Kumar RR, Wirth M. 2025. Operator-valued twisted Araki–Woods algebras. Communications in Mathematical Physics. 406(5), 110.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 15373 |

Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475.
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 18900 |

Wirth M. 2024. Modular completely Dirichlet forms as squares of derivations. International Mathematics Research Notices. 2024(14), 10597–10614.
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 15350 |

Rouzé C, Wirth M, Zhang H. 2024. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. Communications in Mathematical Physics. 405(4), 95.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13177 |

Hua B, Keller M, Schwarz M, Wirth M. 2023. Sobolev-type inequalities and eigenvalue growth on graphs with finite measure. Proceedings of the American Mathematical Society. 151(8), 3401–3414.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12104 |

Dello Schiavo L, Wirth M. 2023. Ergodic decompositions of Dirichlet forms under order isomorphisms. Journal of Evolution Equations. 23(1), 9.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
2023 | Published | Journal Article | IST-REx-ID: 12087 |

Wirth M, Zhang H. 2023. Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 24, 717–750.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13319 |

Vernooij M, Wirth M. 2023. Derivations and KMS-symmetric quantum Markov semigroups. Communications in Mathematical Physics. 403, 381–416.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11916 |

Wirth M. 2022. Kac regularity and domination of quadratic forms. Advances in Operator Theory. 7(3), 38.
[Published Version]
View
| Files available
| DOI
2022 | Published | Journal Article | IST-REx-ID: 11330 |

Wirth M. 2022. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 187(2), 19.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
2021 | Published | Journal Article | IST-REx-ID: 9627 |

Lenz D, Weinmann T, Wirth M. 2021. Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. 64(3), 443–447.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9973 |

Wirth M, Zhang H. 2021. Complete gradient estimates of quantum Markov semigroups. Communications in Mathematical Physics. 387, 761–791.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 15261 |

Lenz D, Schmidt M, Wirth M. 2021. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 280(6), 108848.
[Published Version]
View
| DOI
| Download Published Version (ext.)