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107 Publications
2026 |
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Journal Article |
IST-REx-ID: 21018 |
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Brigati, G., Dolbeault, J., & Simonov, N. (2026). Logarithmic Sobolev Inequalities: A review on stability and instability results. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00180-y
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| arXiv
2026 |
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Journal Article |
IST-REx-ID: 21132 |
Brigati, G., Lörler, F., & Wang, L. (2026). Hypocoercivity meets lifts. Kinetic and Related Models. American Institute of Mathematical Sciences. https://doi.org/10.3934/krm.2025020
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2026 |
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Journal Article |
IST-REx-ID: 21504 |
Auricchio, G., Brigati, G., Giudici, P., & Toscani, G. (2026). From kinetic theory to AI: A rediscovery of high-dimensional divergences and their properties. Mathematical Models and Methods in Applied Sciences. World Scientific Publishing. https://doi.org/10.1142/S0218202526410010
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2026 |
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Journal Article |
IST-REx-ID: 20865 |
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Quattrocchi, F. (2026). Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. Calculus of Variations and Partial Differential Equations. Springer Nature. https://doi.org/10.1007/s00526-025-03193-1
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 18632 |
Dello Schiavo, L., Herry, R., Kopfer, E., & Sturm, K. T. (2025). Polyharmonic fields and Liouville quantum gravity measures on tori of arbitrary dimension: From discrete to continuous. Mathematische Nachrichten. Wiley. https://doi.org/10.1002/mana.202400169
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20040 |
Pedrotti, F. (2025). Contractive coupling rates and curvature lower bounds for Markov chains. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/24-aap2113
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20050 |
Khudiakova, K., Maas, J., & Pedrotti, F. (2025). L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/25-aap2162
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20155 |
Brigati, G., & Stoltz, G. (2025). How to construct explicit decay rates for kinetic Fokker–Planck equations? SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/24M1700351
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20591 |
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Brigati, G., & Pedrotti, F. (2025). Heat flow, log-concavity, and Lipschitz transport maps. Electronic Communications in Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/25-ECP717
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20814 |
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Keller, M., Lenz, D., Schmidt, M., Schwarz, M., & Wirth, M. (2025). Boundary representations of intermediate forms between a regular Dirichlet form and its active main part. Potential Analysis. Springer Nature. https://doi.org/10.1007/s11118-025-10251-y
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2025 |
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Journal Article |
IST-REx-ID: 19565 |
Auricchio, G., Brigati, G., Giudici, P., & Toscani, G. (2025). Multivariate Gini-type discrepancies. Mathematical Models and Methods in Applied Sciences. World Scientific Publishing. https://doi.org/10.1142/s0218202525500174
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 19625 |
Kumar, R. R., & Wirth, M. (2025). Operator-valued twisted Araki–Woods algebras. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-025-05285-7
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| PubMed | Europe PMC
| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21322 |
Olusanya, O. O., Khudiakova, K., & Sachdeva, H. (2025). Genetic load, eco-evolutionary feedback, and extinction in metapopulations. The American Naturalist. University of Chicago Press. https://doi.org/10.1086/735562
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2025 |
Published |
Thesis | PhD |
IST-REx-ID: 20563 |
Quattrocchi, F. (2025). Optimal transport methods for kinetic equations, boundary value problems, and discretization of measures. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20563
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2025 |
Draft |
Preprint |
IST-REx-ID: 20569 |
Brigati, G., Maas, J., & Quattrocchi, F. (n.d.). Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-order discrepancies between probability measures. arXiv. https://doi.org/10.48550/arXiv.2502.15665
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18158 |
Dello Schiavo, L., Herry, R., & Suzuki, K. (2024). Wasserstein geometry and Ricci curvature bounds for Poisson spaces. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.270
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18490 |
Dello Schiavo, L., Herry, R., Kopfer, E., & Sturm, K. T. (2024). Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. Journal of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/jlms.70003
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2024 |
Published |
Journal Article |
IST-REx-ID: 13271 |
Zhang, H. (2024). Some convexity and monotonicity results of trace functionals. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-023-01345-7
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| arXiv
2024 |
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Journal Article |
IST-REx-ID: 13318 |
Volberg, A., & Zhang, H. (2024). Noncommutative Bohnenblust–Hille inequalities. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-023-02680-0
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18897 |
Pedrotti, F., Maas, J., & Mondelli, M. (2024). Improved convergence of score-based diffusion models via prediction-correction. In Transactions on Machine Learning Research.
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