Quantitative stochastic homogenization of variational problems

Project Information

QSHvar

Grant agreement ID: 818437

DOI

10.3030/818437

Project closed

EC signature date 5 April 2019

Start date 1 August 2019

End date 31 January 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 312 500,00

EU contribution

€ 1 312 500,00

Coordinated by

HELSINGIN YLIOPISTO
Finland

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (4)

Elliptic homogenization from qualitative to quantitative

Author(s): Scott Armstrong, Tuomo Kuusi
Published in: arXiv, 2024
Publisher: arXiv

Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift

Author(s): Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi
Published in: arXiv, 2024
Publisher: arXiv

Renormalization group and elliptic homogenization in high contrast

Author(s): Scott Armstrong, Tuomo Kuusi
Published in: arXiv, 2024
Publisher: arXiv

1D stochastic pressure equation with log-correlated Gaussian coefficients

Author(s): Benny Avelin, Tuomo Kuusi, Patrik Nummi, Eero Saksman, Jonas M. Tölle, Lauri Viitasaari
Published in: arXiv, 2024
Publisher: arXiv

Peer reviewed articles (13)

Higher-Order Linearization and Regularity in Nonlinear Homogenization

Author(s): Scott Armstrong, Samuel J. Ferguson, Tuomo Kuusi
Published in: Archive for Rational Mechanics and Analysis, Issue 237/2, 2020, Page(s) 631-741, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01519-1

Homogenization, Linearization, and Large‐Scale Regularity for Nonlinear Elliptic Equations

Author(s): Scott Armstrong, Samuel J. Ferguson, Tuomo Kuusi
Published in: Communications on Pure and Applied Mathematics, Issue 74/2, 2021, Page(s) 286-365, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21902

Necessary and Sufficient Conditions for Continuity of Hypercontractive Processes and Fields

Author(s): Patrik Nummi, Lauri Viitasaari
Published in: Statistics & Probability Letters, Issue 208, 2023, Page(s) 110049, ISSN 0167-7152
Publisher: Elsevier BV
DOI: 10.2139/ssrn.4406363

Sobolev regularity of occupation measures and paths, variability and compositions

Author(s): Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
Published in: Electronic Journal of Probability, Issue 27, 2023, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp797

Stability and moment estimates for the stochastic singular Φ-Laplace equation

Author(s): Florian Seib, Wilhelm Stannat, Jonas M. Tölle
Published in: Journal of Differential Equations, Issue 377, 2024, Page(s) 663-693, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.09.019

The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem

Author(s): Erika Hausenblas, Jonas M. Tölle
Published in: Potential Analysis, Issue 61, 2024, Page(s) 185-246, ISSN 0926-2601
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11118-023-10107-3

Renormalized stochastic pressure equation with log-correlated Gaussian coefficients

Author(s): Benny Avelin, Tuomo Kuusi, Patrik Nummi, Eero Saksman, Jonas M. Tölle, Lauri Viitasaari
Published in: Journal of Differential Equations, Issue 439, 2025, Page(s) 113416, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2025.113416

Variability of paths and differential equations with BV-coefficients

Author(s): Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
Published in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Issue 59, 2023, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/22-aihp1308

Large‐Scale Analyticity and Unique Continuation for Periodic Elliptic Equations

Author(s): Scott Armstrong, Tuomo Kuusi, Charles Smart
Published in: Communications on Pure and Applied Mathematics, 2020, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21958

Global existence for the p-Sobolev flow

Author(s): Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
Published in: Journal of Differential Equations, Issue 279, 2021, Page(s) 245-281, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2021.01.018

Quantitative Homogenization for the Obstacle Problem and Its Free Boundary

Author(s): Gohar Aleksanyan, Tuomo Kuusi
Published in: Archive for Rational Mechanics and Analysis, Issue 248, 2024, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-024-02015-6

Regularity Estimates for the p-Sobolev Flow

Author(s): Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
Published in: The Journal of Geometric Analysis, Issue 30/2, 2020, Page(s) 1918-1964, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00314-z

Note on quantitative homogenization results for parabolic systems in $${\mathbb {R}}^d$$

Author(s): Yulia Meshkova
Published in: Journal of Evolution Equations, 2020, ISSN 1424-3199
Publisher: Birkhauser Verlag
DOI: 10.1007/s00028-020-00600-2