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94 Publications
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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.
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L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Mathematische Nachrichten 298 (2025) 244–281.
2025 | Published | Journal Article | IST-REx-ID: 19625 |

Operator-valued twisted Araki–Woods algebras
R.R. Kumar, M. Wirth, Communications in Mathematical Physics 406 (2025).
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R.R. Kumar, M. Wirth, Communications in Mathematical Physics 406 (2025).
2025 | Published | Journal Article | IST-REx-ID: 20040
Contractive coupling rates and curvature lower bounds for Markov chains
F. Pedrotti, The Annals of Applied Probability 35 (2025) 196–250.
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F. Pedrotti, The Annals of Applied Probability 35 (2025) 196–250.
2025 | Published | Journal Article | IST-REx-ID: 20050 |

L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model
K. Khudiakova, J. Maas, F. Pedrotti, The Annals of Applied Probability 35 (2025) 1913–1940.
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K. Khudiakova, J. Maas, F. Pedrotti, The Annals of Applied Probability 35 (2025) 1913–1940.
2025 | Published | Journal Article | IST-REx-ID: 19565 |

Multivariate Gini-type discrepancies
G. Auricchio, G. Brigati, P. Giudici, G. Toscani, Mathematical Models and Methods in Applied Sciences 35 (2025) 1267–1296.
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G. Auricchio, G. Brigati, P. Giudici, G. Toscani, Mathematical Models and Methods in Applied Sciences 35 (2025) 1267–1296.
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.
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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: 15373 |

Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
M. Wirth, Journal of Functional Analysis 287 (2024).
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M. Wirth, Journal of Functional Analysis 287 (2024).
2024 | Published | Journal Article | IST-REx-ID: 17277 |

Stability for the logarithmic Sobolev inequality
G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024).
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G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024).
2024 | Published | Book (Editor) | IST-REx-ID: 18899
Optimal Transport on Quantum Structures
J. Maas, S.A.E. Rademacher, T. Titkos, D. Virosztek, eds., Optimal Transport on Quantum Structures, Springer Nature, Cham, 2024.
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J. Maas, S.A.E. Rademacher, T. Titkos, D. Virosztek, eds., Optimal Transport on Quantum Structures, Springer Nature, Cham, 2024.
2024 | Published | Journal Article | IST-REx-ID: 15252 |

A characterization of maps of bounded compression
L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.
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L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.
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.
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M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.
2024 | Published | Journal Article | IST-REx-ID: 13271 |

Some convexity and monotonicity results of trace functionals
H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.
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H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.
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.
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L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18706 |

Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs
L. Portinale, F. Quattrocchi, European Journal of Applied Mathematics (2024) 1–29.
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L. Portinale, F. Quattrocchi, European Journal of Applied Mathematics (2024) 1–29.
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).
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L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).
2024 | Published | Conference Paper | IST-REx-ID: 18897 |

Improved convergence of score-based diffusion models via prediction-correction
F. Pedrotti, J. Maas, M. Mondelli, in:, Transactions on Machine Learning Research, 2024.
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F. Pedrotti, J. Maas, M. Mondelli, in:, Transactions on Machine Learning Research, 2024.
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.
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L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.
2024 | Draft | Preprint | IST-REx-ID: 17350 |

Improved convergence of score-based diffusion models via prediction-correction
F. Pedrotti, J. Maas, M. Mondelli, ArXiv (n.d.).
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F. Pedrotti, J. Maas, M. Mondelli, ArXiv (n.d.).
2024 | Draft | Preprint | IST-REx-ID: 17353 |

Heat flow, log-concavity, and Lipschitz transport maps
G. Brigati, F. Pedrotti, ArXiv (n.d.).
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G. Brigati, F. Pedrotti, ArXiv (n.d.).
2024 | Published | Thesis | IST-REx-ID: 17336 |

Functional inequalities and convergence of stochastic processes
F. Pedrotti, Functional Inequalities and Convergence of Stochastic Processes, Institute of Science and Technology Austria, 2024.
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F. Pedrotti, Functional Inequalities and Convergence of Stochastic Processes, Institute of Science and Technology Austria, 2024.
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