Pattern formation, energy landscapes, and scaling laws

Head:
Felix Otto

Contact: Email
Phone:
+49 (0) 341 - 9959 - 950

Address:
Inselstr. 22
04103 Leipzig

Administrative Assistant:
Katja Heid
Email, Phone/Fax:
+49 (0) 341 - 9959
- 951
- 585

Homogenization

  1. Venera Khoromskaia ; Boris N. Khoromskij and Felix Otto: Numerical study in stochastic homogenization for elliptic PDEs : convergence rate in the size of representative volume elements

  2. Jianfeng Lu and Felix Otto: Optimal artificial boundary condition for random elliptic media

  3. Peter Bella ; Arianna Giunti and Felix Otto: Effective multipoles in random media

  4. Venera Khoromskaia ; Boris N. Khoromskij and Felix Otto: A numerical primer in 2D stochastic homogenization : CLT scaling in the representative volume element
    MIS-Preprint: 47/2017

  5. Peter Bella ; Benjamin J. Fehrman ; Julian Fischer and Felix Otto: Stochastic homogenization of linear elliptic equations : higher-order error estimates in weak norms via second-order correctors
    In: SIAM journal on mathematical analysis, 49 (2017) 6, p. 4658-4703
    [DOI] [ARXIV]

  6. Peter Bella ; Benjamin J. Fehrman and Felix Otto: A Liouville theorem for elliptic systems with degenerate ergodic coefficients
    In: The annals of applied probability, 28 (2018) 3, p. 1379-1422
    MIS-Preprint: 47/2016 [DOI] [ARXIV]

  7. Joseph G. Conlon ; Arianna Giunti and Felix Otto: Green's function for elliptic systems : existence and Delmotte-Deuschel bounds
    In: Calculus of variations and partial differential equations, 56 (2017) 6, 163
    MIS-Preprint: 34/2016 [DOI] [ARXIV]

  8. Mitia Duerinckx ; Antoine Gloria and Felix Otto: The structure of fluctuations in stochastic homogenization

  9. Antoine Gloria and Felix Otto: The corrector in stochastic homogenization : optimal rates, stochastic integrability, and fluctuations

  10. Julian Fischer and Felix Otto: Sublinear growth of the corrector in stochastic homogenization : optimal stochastic estimates for slowly decaying correlations
    In: Stochastics and partial differential equations : analysis and computations, 5 (2017) 2, p. 220-255
    [DOI] [ARXIV]

  11. Peter Bella ; Arianna Giunti and Felix Otto: Quantitative stochastic homogenization : local control of homogenization error through corrector
    In: Mathematics and materials / Mark J. Bowick... (eds.)
    Providence, RI : American mathematical society, 2017. - P. 301-327
    (IAS/Park City mathematics series ; 23)
    [DOI] [ARXIV]

  12. Julian Fischer and Felix Otto: A higher-order large-scale regularity theory for random elliptic operators
    In: Communications in partial differential equations, 41 (2016) 7, p. 1108-1148
    [DOI] [ARXIV]

  13. Peter Bella and Felix Otto: Corrector estimates for elliptic systems with random periodic coefficients
    In: Multiscale modeling and simulation, 14 (2016) 4, p. 1434-1462
    MIS-Preprint: 100/2014 [DOI] [ARXIV]

  14. Antoine Gloria ; Stefan Neukamm and Felix Otto: A regularity theory for random elliptic operators

  15. Antoine Gloria and Felix Otto: Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
    In: ESAIM / Proceedings, 48 (2015), p. 80-97
    MIS-Preprint: 12/2015 [DOI] [ARXIV]

  16. Antoine Gloria and Felix Otto: Quantitative results on the corrector equation in stochastic homogenization
    In: Journal of the European Mathematical Society, 19 (2017) 11, p. 3489-3548
    [DOI] [ARXIV]

  17. Jean-Christophe Mourrat and Felix Otto: Correlation structure of the corrector in stochastic homogenization
    In: The annals of probability, 44 (2016) 5, p. 3207-3233
    MIS-Preprint: 11/2015 [DOI] [ARXIV]

  18. Daniel Marahrens and Felix Otto: On annealed elliptic Green's function estimates
    In: Mathematica bohemica, 140 (2015) 4, p. 489-506
    MIS-Preprint: 13/2015 [ARXIV] [FREELINK]

  19. Daniel Marahrens and Felix Otto: Effektive Beschreibung von heterogenen Medien
    In: Jahrbuch der Max-Planck-Gesellschaft, 2014 (2014), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
    [FREELINK]

  20. Agnes Lamacz ; Stefan Neukamm and Felix Otto: Moment bounds for the corrector in stochastic homogenization of a percolation model
    In: Electronic journal of probability, 20 (2015), 106
    MIS-Preprint: 63/2014 [DOI] [ARXIV]

  21. Antoine Gloria ; Stefan Neukamm and Felix Otto: An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
    In: ESAIM / Mathematical modelling and numerical analysis, 48 (2014) 2, p. 325-346
    MIS-Preprint: 41/2013 [DOI]

  22. Daniel Marahrens and Felix Otto: Annealed estimates on the Green function
    In: Probability theory and related fields, 163 (2014) 3-4, p. 527-573
    MIS-Preprint: 69/2012 [DOI] [ARXIV]

  23. Antoine Gloria ; Stefan Neukamm and Felix Otto: Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics
    In: Inventiones mathematicae, 199 (2015) 2, p. 455-515
    MIS-Preprint: 91/2013 [DOI]

  24. Antoine Gloria ; Stefan Neukamm and Felix Otto: Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics - long version
    MIS-Preprint: 3/2013

  25. Antoine Gloria and Felix Otto: An optimal error estimate in stochastic homogenization of discrete elliptic equations
    In: The annals of applied probability, 22 (2012) 1, p. 1-28
    MIS-Preprint: 28/2010 [DOI] [ARXIV]

  26. Antoine Gloria and Felix Otto: An optimal variance estimate in stochastic homogenization of discrete elliptic equations
    In: The annals of probability, 39 (2011) 3, p. 779-856
    [DOI] [FREELINK]

20.07.2019, 06:05