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Probability and Variational Methods in PDEs - Publications

Explore the scholarly works of the "Probability and Variational Methods in PDEs" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.

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  • Publications of Tobias Ried

inJournal
2025 Repository Open Access
Camilla Brizzi, Gero Friesecke and Tobias Ried

\(h\)-Wasserstein barycenters

In: Journal of mathematical analysis and applications, 553 (2025) 1, p. 129952
BibTex DOI: 10.1016/j.jmaa.2025.129952 ArXiv: 2402.13176
inJournal
2025 Journal Open Access
Camilla Brizzi, Gero Friesecke and Tobias Ried

\(p\)-Wasserstein barycenters

In: Nonlinear analysis / A, 251 (2025), p. 113687
BibTex DOI: 10.1016/j.na.2024.113687 ArXiv: 2405.09381
inJournal
2025 Journal Open Access
Tobias Ried and Carlos Román

Domain branching in micromagnetism : scaling law for the global and local energies

In: Revista Matemática Iberoamericana, 41 (2025) 2, pp. 401-460
BibTex DOI: 10.4171/RMI/1508 ArXiv: 2308.07239
inJournal
2025 Journal Open Access
Thiago Carvalho-Corso and Tobias Ried

On a variational problem related to the Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities

In: Communications in mathematical physics, 406 (2025) 3, p. 50
BibTex DOI: 10.1007/s00220-024-05216-y ArXiv: 2403.04347
Preprint
2024 Repository Open Access
Tobias Ried and Christian Wagner

Large scale regularity and correlation length for almost length-minimizing random curves in the plane

BibTex ArXiv: 2412.17625
inJournal
2023 Journal Open Access
Dirk Hundertmark, Peer Kunstmann, Tobias Ried and Semjon Vugalter

Cwikel's bound reloaded

In: Inventiones mathematicae, 231 (2023) 1, pp. 111-167
BibTex DOI: 10.1007/s00222-022-01144-7 ArXiv: 1809.05069
inJournal
2023 Repository Open Access
Radu Ignat, Felix Otto, Tobias Ried and Pavlos Tsatsoulis

Variational methods for a singular SPDE yielding the universality of the magnetization ripple

In: Communications on pure and applied mathematics, 76 (2023) 11, pp. 2959-3043
BibTex DOI: 10.1002/cpa.22093 ArXiv: 2010.13123
inBook
2021
Dirk Hundertmark, Peer Christian Kunstmann, Tobias Ried and Semjon Vugalter

Counting bound states with maximal Fourier multipliers

In: Partial differential equations, spectral theory, and mathematical physics : the Ari Laptev anniversary volume / Pavel Exner... (eds.)
Berlin : EMS Press, 2021. - pp. 197-207
(EMS series of congress reports ; 18)
BibTex DOI: 10.4171/ECR/18-1/11
inJournal
2021 Journal Open Access
Felix Otto, Maxime Prod'homme and Tobias Ried

Variational approach to regularity of optimal transport maps : general cost functions

In: Annals of PDE, 7 (2021) 2, p. 17
BibTex DOI: 10.1007/s40818-021-00106-1 ArXiv: 2007.11549 MiS Preprint