Lorenzo Dello Schiavo
Maas Group
14 Publications
2025 | Published | Journal Article | IST-REx-ID: 18632 |

Polyharmonic fields and Liouville quantum gravity measures on tori of arbitrary dimension: From discrete to continuous
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Mathematische Nachrichten 298 (2025) 244–281.
[Published Version]
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L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Mathematische Nachrichten 298 (2025) 244–281.
2024 | Published | Journal Article | IST-REx-ID: 14934 |

A discovery tour in random Riemannian geometry
L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.
[Published Version]
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| Files available
| DOI
| arXiv
L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.
2024 | Published | Journal Article | IST-REx-ID: 17143 |

Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces
L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.
[Preprint]
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L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.
2024 | Published | Journal Article | IST-REx-ID: 15252 |

A characterization of maps of bounded compression
L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.
[Preprint]
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| Download Preprint (ext.)
| arXiv
L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.
2024 | Published | Journal Article | IST-REx-ID: 15317 |

Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains
L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34 (2024) 1789–1845.
[Preprint]
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L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34 (2024) 1789–1845.
2024 | Published | Journal Article | IST-REx-ID: 18158 |

Wasserstein geometry and Ricci curvature bounds for Poisson spaces
L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010.
[Published Version]
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L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010.
2024 | Published | Journal Article | IST-REx-ID: 18490 |

Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).
[Published Version]
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L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).
2023 | Published | Journal Article | IST-REx-ID: 10145 |

Ergodic decomposition of Dirichlet forms via direct integrals and applications
L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
[Published Version]
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| Files available
| DOI
| WoS
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L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
2023 | Published | Journal Article | IST-REx-ID: 13145 |

A Mecke-type characterization of the Dirichlet–Ferguson measure
L. Dello Schiavo, E. Lytvynov, Electronic Communications in Probability 28 (2023) 1–12.
[Published Version]
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| Files available
| DOI
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L. Dello Schiavo, E. Lytvynov, Electronic Communications in Probability 28 (2023) 1–12.
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: 10588 |

Sobolev-to-Lipschitz property on QCD- spaces and applications
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
[Published Version]
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| Files available
| DOI
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| arXiv
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
2022 | Published | Journal Article | IST-REx-ID: 11354 |

The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold
L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
[Preprint]
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| DOI
| Download Preprint (ext.)
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| arXiv
L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
2022 | Published | Journal Article | IST-REx-ID: 12177 |

Effective contraction of Skinning maps
T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.
[Published Version]
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T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.
2021 | Published | Journal Article | IST-REx-ID: 10070 |

Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces
L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
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L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).
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14 Publications
2025 | Published | Journal Article | IST-REx-ID: 18632 |

Polyharmonic fields and Liouville quantum gravity measures on tori of arbitrary dimension: From discrete to continuous
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Mathematische Nachrichten 298 (2025) 244–281.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Mathematische Nachrichten 298 (2025) 244–281.
2024 | Published | Journal Article | IST-REx-ID: 14934 |

A discovery tour in random Riemannian geometry
L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.
[Published Version]
View
| Files available
| DOI
| arXiv
L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.
2024 | Published | Journal Article | IST-REx-ID: 17143 |

Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces
L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.
2024 | Published | Journal Article | IST-REx-ID: 15252 |

A characterization of maps of bounded compression
L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.
[Preprint]
View
| Download Preprint (ext.)
| arXiv
L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.
2024 | Published | Journal Article | IST-REx-ID: 15317 |

Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains
L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34 (2024) 1789–1845.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34 (2024) 1789–1845.
2024 | Published | Journal Article | IST-REx-ID: 18158 |

Wasserstein geometry and Ricci curvature bounds for Poisson spaces
L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010.
[Published Version]
View
| Files available
| DOI
| arXiv
L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010.
2024 | Published | Journal Article | IST-REx-ID: 18490 |

Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).
[Published Version]
View
| Files available
| DOI
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).
2023 | Published | Journal Article | IST-REx-ID: 10145 |

Ergodic decomposition of Dirichlet forms via direct integrals and applications
L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
2023 | Published | Journal Article | IST-REx-ID: 13145 |

A Mecke-type characterization of the Dirichlet–Ferguson measure
L. Dello Schiavo, E. Lytvynov, Electronic Communications in Probability 28 (2023) 1–12.
[Published Version]
View
| Files available
| DOI
| WoS
L. Dello Schiavo, E. Lytvynov, Electronic Communications in Probability 28 (2023) 1–12.
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: 10588 |

Sobolev-to-Lipschitz property on QCD- spaces and applications
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
2022 | Published | Journal Article | IST-REx-ID: 11354 |

The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold
L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
2022 | Published | Journal Article | IST-REx-ID: 12177 |

Effective contraction of Skinning maps
T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.
[Published Version]
View
| Files available
| DOI
T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.
2021 | Published | Journal Article | IST-REx-ID: 10070 |

Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces
L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).