Melchior Wirth
13 Publications
2025 | Published | Journal Article | IST-REx-ID: 19625 | 
R. R. Kumar and M. Wirth, “Operator-valued twisted Araki–Woods algebras,” Communications in Mathematical Physics, vol. 406, no. 5. Springer Nature, 2025.
[Published Version]
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2024 | Published | Journal Article | IST-REx-ID: 15373 |
M. Wirth, “Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups,” Journal of Functional Analysis, vol. 287, no. 3. Elsevier, 2024.
[Published Version]
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2024 | Published | Journal Article | IST-REx-ID: 18900 |
M. Wirth, “Modular completely Dirichlet forms as squares of derivations,” International Mathematics Research Notices, vol. 2024, no. 14. Oxford University Press, pp. 10597–10614, 2024.
[Published Version]
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2024 | Published | Journal Article | IST-REx-ID: 15350 |
C. Rouzé, M. Wirth, and H. Zhang, “Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions,” Communications in Mathematical Physics, vol. 405, no. 4. Springer Nature, 2024.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13177 |
B. Hua, M. Keller, M. Schwarz, and M. Wirth, “Sobolev-type inequalities and eigenvalue growth on graphs with finite measure,” Proceedings of the American Mathematical Society, vol. 151, no. 8. American Mathematical Society, pp. 3401–3414, 2023.
[Preprint]
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2023 | Published | Journal Article | IST-REx-ID: 12104 |
L. Dello Schiavo and M. Wirth, “Ergodic decompositions of Dirichlet forms under order isomorphisms,” Journal of Evolution Equations, vol. 23, no. 1. Springer Nature, 2023.
[Published Version]
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2023 | Published | Journal Article | IST-REx-ID: 12087 |
M. Wirth and H. Zhang, “Curvature-dimension conditions for symmetric quantum Markov semigroups,” Annales Henri Poincare, vol. 24. Springer Nature, pp. 717–750, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13319 |
M. Vernooij and M. Wirth, “Derivations and KMS-symmetric quantum Markov semigroups,” Communications in Mathematical Physics, vol. 403. Springer Nature, pp. 381–416, 2023.
[Published Version]
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| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11916 |
M. Wirth, “Kac regularity and domination of quadratic forms,” Advances in Operator Theory, vol. 7, no. 3. Springer Nature, 2022.
[Published Version]
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2022 | Published | Journal Article | IST-REx-ID: 11330 |
M. Wirth, “A dual formula for the noncommutative transport distance,” Journal of Statistical Physics, vol. 187, no. 2. Springer Nature, 2022.
[Published Version]
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2021 | Published | Journal Article | IST-REx-ID: 9627 |
D. Lenz, T. Weinmann, and M. Wirth, “Self-adjoint extensions of bipartite Hamiltonians,” Proceedings of the Edinburgh Mathematical Society, vol. 64, no. 3. Cambridge University Press, pp. 443–447, 2021.
[Published Version]
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| DOI
| Download Published Version (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9973 |
M. Wirth and H. Zhang, “Complete gradient estimates of quantum Markov semigroups,” Communications in Mathematical Physics, vol. 387. Springer Nature, pp. 761–791, 2021.
[Published Version]
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| WoS
| PubMed | Europe PMC
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 15261 |
D. Lenz, M. Schmidt, and M. Wirth, “Uniqueness of form extensions and domination of semigroups,” Journal of Functional Analysis, vol. 280, no. 6. Elsevier, 2021.
[Published Version]
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| DOI
| Download Published Version (ext.)
Grants
13 Publications
2025 | Published | Journal Article | IST-REx-ID: 19625 |
R. R. Kumar and M. Wirth, “Operator-valued twisted Araki–Woods algebras,” Communications in Mathematical Physics, vol. 406, no. 5. Springer Nature, 2025.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 15373 |
M. Wirth, “Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups,” Journal of Functional Analysis, vol. 287, no. 3. Elsevier, 2024.
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 18900 |
M. Wirth, “Modular completely Dirichlet forms as squares of derivations,” International Mathematics Research Notices, vol. 2024, no. 14. Oxford University Press, pp. 10597–10614, 2024.
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 15350 |
C. Rouzé, M. Wirth, and H. Zhang, “Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions,” Communications in Mathematical Physics, vol. 405, no. 4. Springer Nature, 2024.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13177 |
B. Hua, M. Keller, M. Schwarz, and M. Wirth, “Sobolev-type inequalities and eigenvalue growth on graphs with finite measure,” Proceedings of the American Mathematical Society, vol. 151, no. 8. American Mathematical Society, pp. 3401–3414, 2023.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12104 |
L. Dello Schiavo and M. Wirth, “Ergodic decompositions of Dirichlet forms under order isomorphisms,” Journal of Evolution Equations, vol. 23, no. 1. Springer Nature, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
2023 | Published | Journal Article | IST-REx-ID: 12087 |
M. Wirth and H. Zhang, “Curvature-dimension conditions for symmetric quantum Markov semigroups,” Annales Henri Poincare, vol. 24. Springer Nature, pp. 717–750, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13319 |
M. Vernooij and M. Wirth, “Derivations and KMS-symmetric quantum Markov semigroups,” Communications in Mathematical Physics, vol. 403. Springer Nature, pp. 381–416, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11916 |
M. Wirth, “Kac regularity and domination of quadratic forms,” Advances in Operator Theory, vol. 7, no. 3. Springer Nature, 2022.
[Published Version]
View
| Files available
| DOI
2022 | Published | Journal Article | IST-REx-ID: 11330 |
M. Wirth, “A dual formula for the noncommutative transport distance,” Journal of Statistical Physics, vol. 187, no. 2. Springer Nature, 2022.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
2021 | Published | Journal Article | IST-REx-ID: 9627 |
D. Lenz, T. Weinmann, and M. Wirth, “Self-adjoint extensions of bipartite Hamiltonians,” Proceedings of the Edinburgh Mathematical Society, vol. 64, no. 3. Cambridge University Press, pp. 443–447, 2021.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9973 |
M. Wirth and H. Zhang, “Complete gradient estimates of quantum Markov semigroups,” Communications in Mathematical Physics, vol. 387. Springer Nature, pp. 761–791, 2021.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 15261 |
D. Lenz, M. Schmidt, and M. Wirth, “Uniqueness of form extensions and domination of semigroups,” Journal of Functional Analysis, vol. 280, no. 6. Elsevier, 2021.
[Published Version]
View
| DOI
| Download Published Version (ext.)