Taming Complexity in Partial Differential Systems
Project Period: 2021-03-01 – 2026-02-28
Funder:
Austrian Science Fund
Acronym
PDE
Principal Investigator
Department(s)
Grant Number
F6504
Funder
Austrian Science Fund
Funder Schema
FWF-SFB-NRP
Funder Registry
37 Publications
2025 | Published | Journal Article | IST-REx-ID: 19027 | 
Multilevel Monte Carlo methods for the Dean–Kawasaki equation from fluctuating hydrodynamics
F. Cornalba, J.L. Fischer, SIAM Journal on Numerical Analysis 63 (2025) 262–287.
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F. Cornalba, J.L. Fischer, SIAM Journal on Numerical Analysis 63 (2025) 262–287.
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.
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 | Epub ahead of print | Journal Article | IST-REx-ID: 18706 |
Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs
L. Portinale, F. Quattrocchi, European Journal of Applied Mathematics (2024) 1–29.
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L. Portinale, F. Quattrocchi, European Journal of Applied Mathematics (2024) 1–29.
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).
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L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).
2024 | Published | Journal Article | IST-REx-ID: 14884 |
Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
E. Davoli, L. D’Elia, J. Ingmanns, Journal of Nonlinear Science 34 (2024).
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E. Davoli, L. D’Elia, J. Ingmanns, Journal of Nonlinear Science 34 (2024).
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 | 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 | 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 | 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 | Draft | Preprint | IST-REx-ID: 17352 |
L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model
K. Khudiakova, J. Maas, F. Pedrotti, ArXiv (n.d.).
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K. Khudiakova, J. Maas, F. Pedrotti, ArXiv (n.d.).
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).
2024 | Published | Journal Article | IST-REx-ID: 14451 |
Multi-objective reward generalization: Improving performance of Deep Reinforcement Learning for applications in single-asset trading
F. Cornalba, C. Disselkamp, D. Scassola, C. Helf, Neural Computing and Applications 36 (2024) 617–637.
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F. Cornalba, C. Disselkamp, D. Scassola, C. Helf, Neural Computing and Applications 36 (2024) 617–637.
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.
2023 | Published | Journal Article | IST-REx-ID: 14554 |
The regularised inertial Dean' Kawasaki equation: Discontinuous Galerkin approximation and modelling for low-density regime
F. Cornalba, T. Shardlow, ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023) 3061–3090.
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F. Cornalba, T. Shardlow, ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023) 3061–3090.
2023 | Published | Journal Article | IST-REx-ID: 10145 |
Ergodic decomposition of Dirichlet forms via direct integrals and applications
L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
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L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
2023 | Published | Journal Article | IST-REx-ID: 12104 |
Ergodic decompositions of Dirichlet forms under order isomorphisms
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
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L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
2023 | Published | Journal Article | IST-REx-ID: 12087 |
Curvature-dimension conditions for symmetric quantum Markov semigroups
M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.
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M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.
2023 | Published | Journal Article | IST-REx-ID: 10551 |
The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247 (2023).
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F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247 (2023).
2023 | Published | Journal Article | IST-REx-ID: 12959 |
Homogenisation of dynamical optimal transport on periodic graphs
P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Calculus of Variations and Partial Differential Equations 62 (2023).
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P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Calculus of Variations and Partial Differential Equations 62 (2023).