Taming Complexity in Partial Differential Systems
Project Period: 2021-03-01 – 2025-02-28
Funder:
FWF
Principal Investigator
Department(s)
Grant Number
F6504
Funder
FWF
33 Publications
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: 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 | 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 | 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 | Submitted | 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 | Submitted | 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: 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 | Epub ahead of print | Journal Article | IST-REx-ID: 14934 |
A discovery tour in random Riemannian geometry
L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis (2024).
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L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis (2024).
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.
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).
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: 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: 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: 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: 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: 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).
2022 | Published | Journal Article | IST-REx-ID: 10588 |
Sobolev-to-Lipschitz property on QCD- spaces and applications
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
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L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
2022 | Published | Journal Article | IST-REx-ID: 11330 |
A dual formula for the noncommutative transport distance
M. Wirth, Journal of Statistical Physics 187 (2022).
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M. Wirth, Journal of Statistical Physics 187 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11354 |
The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold
L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
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L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
2022 | Published | Journal Article | IST-REx-ID: 11700 |
Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph
M. Erbar, D.L. Forkert, J. Maas, D. Mugnolo, Networks and Heterogeneous Media 17 (2022) 687–717.
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M. Erbar, D.L. Forkert, J. Maas, D. Mugnolo, Networks and Heterogeneous Media 17 (2022) 687–717.