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106 Publications

Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions
F. Quattrocchi, Calculus of Variations and Partial Differential Equations 65 (2026).

[Published Version] View | Files available | DOI | arXiv

Logarithmic Sobolev Inequalities: A review on stability and instability results
G. Brigati, J. Dolbeault, N. Simonov, La Matematica 5 (2026).

[Published Version] View | Files available | DOI | arXiv

2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21132 |

Hypocoercivity meets lifts
G. Brigati, F. Lörler, L. Wang, Kinetic and Related Models 20 (2026) 34–55.

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

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

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.

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.

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.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

Heat flow, log-concavity, and Lipschitz transport maps
G. Brigati, F. Pedrotti, Electronic Communications in Probability 30 (2025).

[Published Version] View | Files available | DOI | WoS | arXiv

Boundary representations of intermediate forms between a regular Dirichlet form and its active main part
M. Keller, D. Lenz, M. Schmidt, M. Schwarz, M. Wirth, Potential Analysis 64 (2025).

[Published Version] View | DOI | Download Published Version (ext.) | arXiv

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.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

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).

2025 | Published | Journal Article | IST-REx-ID: 21322 |

Genetic load, eco-evolutionary feedback, and extinction in metapopulations
O.O. Olusanya, K. Khudiakova, H. Sachdeva, The American Naturalist 205 (2025) 617–636.

2025 | Published | Thesis | PhD | IST-REx-ID: 20563 |

Optimal transport methods for kinetic equations, boundary value problems, and discretization of measures
F. Quattrocchi, Optimal Transport Methods for Kinetic Equations, Boundary Value Problems, and Discretization of Measures, Institute of Science and Technology Austria, 2025.

[Published Version] View | Files available | DOI

2025 | Draft | Preprint | IST-REx-ID: 20569 |

Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-order discrepancies between probability measures
G. Brigati, J. Maas, F. Quattrocchi, ArXiv (n.d.).

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

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 | WoS | arXiv

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 | WoS

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.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

2024 | Published | Journal Article | IST-REx-ID: 13318 |

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

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.

[Published Version] View | Files available | arXiv

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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106 Publications

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