Taming Complexity in Partial Differential Systems

Project Period: 2021-03-01 – 2025-02-28
Funding Organisation: FWF
Principal Investigator
Department(s)
Fischer Group
Grant Number
F6504
Funding Organisation
FWF

26 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.)
 
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: 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: 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 | Epub ahead of print | 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 (2023).
[Published Version] View | DOI | Download Published Version (ext.) | 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: 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: 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: 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: 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
 
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: 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: 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
 
2021 | Published | Thesis | IST-REx-ID: 9733 | OA
The polaron at strong coupling
D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.
[Published Version] View | Files available | DOI
 
2021 | Submitted | Preprint | IST-REx-ID: 9792 | OA
A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature
D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).
[Preprint] View | Files available | 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: 10005 | OA
On nonlinear problems of parabolic type with implicit constitutive equations involving flux
M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021).
[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
 

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