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95 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: 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.
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: 20155
How to construct explicit decay rates for kinetic Fokker–Planck equations?
G. Brigati, G. Stoltz, SIAM Journal on Mathematical Analysis 57 (2025) 3587–3622.
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G. Brigati, G. Stoltz, SIAM Journal on Mathematical Analysis 57 (2025) 3587–3622.
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: 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 | 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 | 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 | Journal Article | IST-REx-ID: 13318 |

Noncommutative Bohnenblust–Hille inequalities
A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.
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A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.
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 | 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.
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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: 15350 |

Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions
C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024).
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C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024).
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 | 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.
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 | Published | Journal Article | IST-REx-ID: 17282 |

Characterisation of gradient flows for a given functional
M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
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M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
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