Taming Complexity in Partial Differential Systems
Project Period: 2017-03-01 – 2026-02-28
Funder:
Austrian Science Fund
Acronym
PDE
Principal Investigator
Department(s)
Grant Number
F06504
Funder
Austrian Science Fund
Funder Schema
FWF-SFB
Funder Registry
9 Publications
2025 | Published | Thesis | 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.
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F. Quattrocchi, Optimal Transport Methods for Kinetic Equations, Boundary Value Problems, and Discretization of Measures, Institute of Science and Technology Austria, 2025.
2024 | Draft | Preprint | IST-REx-ID: 20571 |
Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions
F. Quattrocchi, ArXiv (n.d.).
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F. Quattrocchi, ArXiv (n.d.).
2024 | Draft | Preprint | IST-REx-ID: 20570 |
Asymptotics for optimal empirical quantization of measures
F. Quattrocchi, ArXiv (n.d.).
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F. Quattrocchi, ArXiv (n.d.).
2023 | Published | Journal Article | IST-REx-ID: 12911 |
A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature
D. Feliciangeli, A. Gerolin, L. Portinale, Journal of Functional Analysis 285 (2023).
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D. Feliciangeli, A. Gerolin, L. Portinale, Journal of Functional Analysis 285 (2023).
2023 | Draft | Preprint | IST-REx-ID: 20572 |
Multivariate Dirichlet moments and a polychromatic Ewens sampling formula
L. Dello Schiavo, F. Quattrocchi, ArXiv (n.d.).
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L. Dello Schiavo, F. Quattrocchi, ArXiv (n.d.).
2020 | Published | Journal Article | IST-REx-ID: 7573 |
Homogenisation of one-dimensional discrete optimal transport
P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Journal de Mathematiques Pures et Appliquees 139 (2020) 204–234.
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P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Journal de Mathematiques Pures et Appliquees 139 (2020) 204–234.
2020 | Published | Journal Article | IST-REx-ID: 6358 |
Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
E.A. Carlen, J. Maas, Journal of Statistical Physics 178 (2020) 319–378.
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E.A. Carlen, J. Maas, Journal of Statistical Physics 178 (2020) 319–378.
2020 | Published | Journal Article | IST-REx-ID: 8758 |
Modeling of chemical reaction systems with detailed balance using gradient structures
J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.
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J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.
2019 | Published | Journal Article | IST-REx-ID: 73 |
On the geometry of geodesics in discrete optimal transport
M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).
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M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).