Taming Complexity in Partial Differential Systems

Project Period: 2021-03-01 – 2025-02-28
Externally Funded
Principal Investigator
Julian L Fischer
Department(s)
Fischer Group
Grant Number
F6504
Funder
FWF

28 Publications

2024 |Epub ahead of print| Journal Article | IST-REx-ID: 14884 | OA
Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
E. Davoli, L. D’Elia, J. Ingmanns, Journal of Nonlinear Science 34 (2024).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 |Epub ahead of print| Journal Article | IST-REx-ID: 14934 | OA
A discovery tour in random Riemannian geometry
L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis (2024).
[Published Version] View | DOI | Download Published Version (ext.)
 
2024 |Published| Journal Article | IST-REx-ID: 15317 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 |Published| Journal Article | IST-REx-ID: 17143 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 |Published| Journal Article | IST-REx-ID: 14451 | OA
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.
[Published Version] View | Files available | DOI | arXiv
 
2023 |Published| Journal Article | IST-REx-ID: 12104 | OA
Ergodic decompositions of Dirichlet forms under order isomorphisms
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
[Published Version] View | Files available | DOI | WoS
 
2023 |Published| Journal Article | IST-REx-ID: 12087 | OA
Curvature-dimension conditions for symmetric quantum Markov semigroups
M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 |Published| Journal Article | IST-REx-ID: 10145 | OA
Ergodic decomposition of Dirichlet forms via direct integrals and applications
L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 |Published| Journal Article | IST-REx-ID: 12959 | OA
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).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 |Published| Journal Article | IST-REx-ID: 14554 | OA
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.
[Published Version] View | Files available | DOI
 
2023 |Published| Journal Article | IST-REx-ID: 10551 | OA
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).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 12177 | OA
Effective contraction of Skinning maps
T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.
[Published Version] View | Files available | DOI
 
2022 |Published| Journal Article | IST-REx-ID: 10588 | OA
Sobolev-to-Lipschitz property on QCD- spaces and applications
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 11330 | OA
A dual formula for the noncommutative transport distance
M. Wirth, Journal of Statistical Physics 187 (2022).
[Published Version] View | Files available | DOI | WoS
 
2022 |Published| Journal Article | IST-REx-ID: 11739 | OA
Evolutionary $\Gamma$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions
D.L. Forkert, J. Maas, L. Portinale, SIAM Journal on Mathematical Analysis 54 (2022) 4297–4333.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 11700 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 11354 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 |Published| Journal Article | IST-REx-ID: 10023 | OA
Trajectorial dissipation and gradient flow for the relative entropy in Markov chains
I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and Systems 21 (2021) 481–536.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2021 |Published| Journal Article | IST-REx-ID: 9973 | OA
Complete gradient estimates of quantum Markov semigroups
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 |Published| Journal Article | IST-REx-ID: 10070 | OA
Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces
L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

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