Melchior Wirth
Maas Group
12 Publications
2024 | Published | Journal Article | IST-REx-ID: 15373 | 
Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110475.
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2024 | Published | Journal Article | IST-REx-ID: 18900 |
Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae092.
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2024 | Published | Journal Article | IST-REx-ID: 15350 |
Rouzé, Cambyse, Melchior Wirth, and Haonan Zhang. “Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” Communications in Mathematical Physics. Springer Nature, 2024. https://doi.org/10.1007/s00220-024-04981-0.
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2023 | Published | Journal Article | IST-REx-ID: 13177 |
Hua, Bobo, Matthias Keller, Michael Schwarz, and Melchior Wirth. “Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure.” Proceedings of the American Mathematical Society. American Mathematical Society, 2023. https://doi.org/10.1090/proc/14361.
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2023 | Published | Journal Article | IST-REx-ID: 12104 |
Dello Schiavo, Lorenzo, and Melchior Wirth. “Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms.” Journal of Evolution Equations. Springer Nature, 2023. https://doi.org/10.1007/s00028-022-00859-7.
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2023 | Published | Journal Article | IST-REx-ID: 12087 |
Wirth, Melchior, and Haonan Zhang. “Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01220-x.
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2023 | Published | Journal Article | IST-REx-ID: 13319 |
Vernooij, Matthijs, and Melchior Wirth. “Derivations and KMS-Symmetric Quantum Markov Semigroups.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04795-6.
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| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11916 |
Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” Advances in Operator Theory. Springer Nature, 2022. https://doi.org/10.1007/s43036-022-00199-w.
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2022 | Published | Journal Article | IST-REx-ID: 11330 |
Wirth, Melchior, A dual formula for the noncommutative transport distance. Journal of Statistical Physics 187 (2). 2022
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2021 | Published | Journal Article | IST-REx-ID: 15261
Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions and Domination of Semigroups.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2020.108848.
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| DOI
2021 | Published | Journal Article | IST-REx-ID: 9627 |
Lenz, Daniel, Timon Weinmann, and Melchior Wirth. “Self-Adjoint Extensions of Bipartite Hamiltonians.” Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2021. https://doi.org/10.1017/S0013091521000080.
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2021 | Published | Journal Article | IST-REx-ID: 9973 |
Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.” Communications in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s00220-021-04199-4.
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12 Publications
2024 | Published | Journal Article | IST-REx-ID: 15373 |
Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110475.
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 18900 |
Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae092.
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 15350 |
Rouzé, Cambyse, Melchior Wirth, and Haonan Zhang. “Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” Communications in Mathematical Physics. Springer Nature, 2024. https://doi.org/10.1007/s00220-024-04981-0.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13177 |
Hua, Bobo, Matthias Keller, Michael Schwarz, and Melchior Wirth. “Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure.” Proceedings of the American Mathematical Society. American Mathematical Society, 2023. https://doi.org/10.1090/proc/14361.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12104 |
Dello Schiavo, Lorenzo, and Melchior Wirth. “Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms.” Journal of Evolution Equations. Springer Nature, 2023. https://doi.org/10.1007/s00028-022-00859-7.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
2023 | Published | Journal Article | IST-REx-ID: 12087 |
Wirth, Melchior, and Haonan Zhang. “Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01220-x.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13319 |
Vernooij, Matthijs, and Melchior Wirth. “Derivations and KMS-Symmetric Quantum Markov Semigroups.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04795-6.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11916 |
Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” Advances in Operator Theory. Springer Nature, 2022. https://doi.org/10.1007/s43036-022-00199-w.
[Published Version]
View
| Files available
| DOI
2022 | Published | Journal Article | IST-REx-ID: 11330 |
Wirth, Melchior, A dual formula for the noncommutative transport distance. Journal of Statistical Physics 187 (2). 2022
[Published Version]
View
| Files available
| DOI
| WoS
2021 | Published | Journal Article | IST-REx-ID: 15261
Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions and Domination of Semigroups.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2020.108848.
View
| DOI
2021 | Published | Journal Article | IST-REx-ID: 9627 |
Lenz, Daniel, Timon Weinmann, and Melchior Wirth. “Self-Adjoint Extensions of Bipartite Hamiltonians.” Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2021. https://doi.org/10.1017/S0013091521000080.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9973 |
Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.” Communications in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s00220-021-04199-4.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv