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94 Publications
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2025 | Published | Journal Article | IST-REx-ID: 18632 | 
Dello Schiavo, Lorenzo, et al. “Polyharmonic Fields and Liouville Quantum Gravity Measures on Tori of Arbitrary Dimension: From Discrete to Continuous.” Mathematische Nachrichten, vol. 298, no. 1, Wiley, 2025, pp. 244–81, doi:10.1002/mana.202400169.
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2025 | Published | Journal Article | IST-REx-ID: 19625 |
Kumar, R. Rahul, and Melchior Wirth. “Operator-Valued Twisted Araki–Woods Algebras.” Communications in Mathematical Physics, vol. 406, no. 5, 110, Springer Nature, 2025, doi:10.1007/s00220-025-05285-7.
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2025 | Published | Journal Article | IST-REx-ID: 20040
Pedrotti, Francesco. “Contractive Coupling Rates and Curvature Lower Bounds for Markov Chains.” The Annals of Applied Probability, vol. 35, no. 1, Institute of Mathematical Statistics, 2025, pp. 196–250, doi:10.1214/24-aap2113.
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2025 | Published | Journal Article | IST-REx-ID: 20050 |
Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” The Annals of Applied Probability, vol. 35, no. 3, Institute of Mathematical Statistics, 2025, pp. 1913–40, doi:10.1214/25-aap2162.
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2025 | Published | Journal Article | IST-REx-ID: 19565 |
Auricchio, Gennaro, et al. “Multivariate Gini-Type Discrepancies.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 5, World Scientific Publishing, 2025, pp. 1267–96, doi:10.1142/s0218202525500174.
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2024 | Published | Journal Article | IST-REx-ID: 18158 |
Dello Schiavo, Lorenzo, et al. “Wasserstein Geometry and Ricci Curvature Bounds for Poisson Spaces.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 11, Ecole Polytechnique, 2024, pp. 957–1010, doi:10.5802/jep.270.
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2024 | Published | Journal Article | IST-REx-ID: 15373 |
Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” Journal of Functional Analysis, vol. 287, no. 3, 110475, Elsevier, 2024, doi:10.1016/j.jfa.2024.110475.
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2024 | Published | Journal Article | IST-REx-ID: 17277 |
Brigati, Giovanni, et al. “Stability for the Logarithmic Sobolev Inequality.” Journal of Functional Analysis, vol. 287, no. 8, 110562, Elsevier, 2024, doi:10.1016/j.jfa.2024.110562.
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2024 | Published | Book (Editor) | IST-REx-ID: 18899
Maas, Jan, et al., editors. Optimal Transport on Quantum Structures. Vol. 29, Springer Nature, 2024, doi:10.1007/978-3-031-50466-2.
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2024 | Published | Journal Article | IST-REx-ID: 15252 |
Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” Mathematical Communications, vol. 29, no. 1, Udruga Matematicara Osijek, 2024, pp. 137–42.
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2024 | Published | Journal Article | IST-REx-ID: 18900 |
Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.” International Mathematics Research Notices, vol. 2024, no. 14, Oxford University Press, 2024, pp. 10597–614, doi:10.1093/imrn/rnae092.
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2024 | Published | Journal Article | IST-REx-ID: 13271 |
Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” Annales Henri Poincare, vol. 25, Springer Nature, 2024, pp. 2087–106, doi:10.1007/s00023-023-01345-7.
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2024 | Published | Journal Article | IST-REx-ID: 14934 |
Dello Schiavo, Lorenzo, et al. “A Discovery Tour in Random Riemannian Geometry.” Potential Analysis, vol. 61, Springer Nature, 2024, pp. 501–53, doi:10.1007/s11118-023-10118-0.
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2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18706 |
Portinale, Lorenzo, and Filippo Quattrocchi. “Discrete-to-Continuum Limits of Optimal Transport with Linear Growth on Periodic Graphs.” European Journal of Applied Mathematics, Cambridge University Press, 2024, pp. 1–29, doi:10.1017/s0956792524000810.
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2024 | Published | Journal Article | IST-REx-ID: 18490 |
Dello Schiavo, Lorenzo, et al. “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” Journal of the London Mathematical Society, vol. 110, no. 5, e70003, London Mathematical Society, 2024, doi:10.1112/jlms.70003.
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2024 | Published | Conference Paper | IST-REx-ID: 18897 |
Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” Transactions on Machine Learning Research, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 17143 |
Dello Schiavo, Lorenzo, et al. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” Transactions of the American Mathematical Society, vol. 377, no. 6, American Mathematical Society, 2024, pp. 3779–804, doi:10.1090/tran/9156.
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2024 | Draft | Preprint | IST-REx-ID: 17350 |
Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” ArXiv, doi:10.48550/arXiv.2305.14164.
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2024 | Draft | Preprint | IST-REx-ID: 17353 |
Brigati, Giovanni, and Francesco Pedrotti. “Heat Flow, Log-Concavity, and Lipschitz Transport Maps.” ArXiv, 2404.15205, doi:10.48550/arXiv.2404.15205.
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2024 | Published | Thesis | IST-REx-ID: 17336 |
Pedrotti, Francesco. Functional Inequalities and Convergence of Stochastic Processes. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:17336.
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