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
- 658

Homogenization

  1. Jianfeng Lu ; Felix Otto and Lihan Wang: Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media

  2. Matti Schneider ; Marc Josien and Felix Otto: Representative volume elements for matrix-inclusion composites : a computational study on periodizing the ensemble

  3. Felix Otto ; Mitia Duerinckx and Marc Josien: Quantitative stochastic homogenization [In: Computational multiscale methods ; 28 July - 3 August 2019 ; report no. 35/2019]
    In: Oberwolfach reports, 16 (2019) 3, p. 2160-2163
    [DOI] [FREELINK]

  4. Marc Josien and Felix Otto: The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
    MIS-Preprint: 57/2020 [ARXIV] [FREELINK]

  5. Arianna Giunti and Felix Otto: On the existence of the Green function for elliptic systems in divergence form
    In: Manuscripta mathematica, Vol. not yet known, pp. not yet known
    [DOI] [ARXIV]

  6. Antoine Gloria ; Stefan Neukamm and Felix Otto: Quantitative estimates in stochastic homogenization for correlated coefficient fields

  7. Venera Khoromskaia ; Boris N. Khoromskij and Felix Otto: Numerical study in stochastic homogenization for elliptic partial differential equations  : convergence rate in the size of representative volume elements
    In: Numerical linear algebra with applications, 27 (2020) 3, e2296
    [DOI] [ARXIV]

  8. Mitia Duerinckx and Felix Otto: Higher-order pathwise theory of fluctuations in stochastic homogenization
    In: Stochastics and partial differential equations : analysis and computations, 8 (2020) 3, p. 625-692
    [DOI] [ARXIV]

  9. Felix Otto and Mitia Duerinckx: Characterizing fluctuations in stochastic homogenization [In: Interplay of analysis and probability in applied mathematics ; 11 February - 17 February 2018 ; report no. 6/2018]
    In: Oberwolfach reports, 15 (2018) 1, p. 364-367
    [DOI] [FREELINK]

  10. Mitia Duerinckx ; Antoine Gloria and Felix Otto: Robustness of the pathwise structure of fluctuations in stochastic homogenization
    In: Probability theory and related fields, 178 (2020) 1/2, p. 531-566
    [DOI] [ARXIV]

  11. Felix Otto ; Peter Bella and Arianna Giunti: Effective multipole expansion in random media [In: Material theories ; 16 July - 22 July 2017 ; report no. 33/2017]
    In: Oberwolfach reports, 14 (2017) 3, p. 2068-2071
    [DOI] [FREELINK]

  12. Jianfeng Lu and Felix Otto: Optimal artificial boundary condition for random elliptic media
    In: Foundations of computational mathematics, Vol. not yet known, pp. not yet known
    [DOI] [ARXIV]

  13. Peter Bella ; Arianna Giunti and Felix Otto: Effective multipoles in random media
    In: Communications in partial differential equations, 45 (2020) 6, p. 561-640
    [DOI] [ARXIV]

  14. 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

  15. 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]

  16. 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]

  17. Stefan Neukamm ; Antoine Gloria and Felix Otto: Quantitative stochastic homogenization of elliptic equations [In: Interplay of analysis and probability in applied mathematics ; 26 July - 1 August 2015 ; report no. 35/2015]
    In: Oberwolfach reports, 12 (2015) 3, p. 2030-2033
    [DOI]

  18. 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]

  19. Mitia Duerinckx ; Antoine Gloria and Felix Otto: The structure of fluctuations in stochastic homogenization
    In: Communications in mathematical physics, 377 (2020) 1, p. 259-306
    [DOI] [ARXIV]

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

  21. 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]

  22. 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]

  23. Jean-Christophe Mourrat and Felix Otto: Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments
    In: Journal of functional analysis, 270 (2016) 1, p. 201-228
    [DOI] [ARXIV]

  24. 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]

  25. 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]

  26. Antoine Gloria ; Stefan Neukamm and Felix Otto: A regularity theory for random elliptic operators
    In: Milan journal of mathematics, 88 (2020) 1, p. 99-170
    [DOI] [ARXIV]

  27. 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]

  28. Daniel Marahrens and Felix Otto: Regularity for elliptic equations with i.i.d. coefficients [In: Classical and quantum mechanical models of many-particle systems ; 1 December - 7 December 2013 ; report no. 57/2013]
    In: Oberwolfach reports, 10 (2013) 4, p. 3352-3354
    [DOI] [FREELINK]

  29. 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]

  30. 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]

  31. Antoine Gloria and Felix Otto: Quantitative theory in stochastic homogenization

  32. 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]

  33. 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]

  34. Antoine Gloria ; Stefan Neukamm and Felix Otto: A quantitative two-scale expansion in stochastic homogenization [In: Interplay of theory and numerics for deterministic and stochastic homogenization ; 17 March - 23 March 2013 ; report no. 14/2013]
    In: Oberwolfach reports, 10 (2013) 1, p. 821-821
    [DOI] [FREELINK]

  35. Felix Otto: A quantitative theory in stochastic homogenization [In: Interplay of theory and numerics for deterministic and stochastic homogenization ; 17 March - 23 March 2013 ; report no. 14/2013]
    In: Oberwolfach reports, 10 (2013) 1, p. 848-849
    [DOI] [FREELINK]

  36. 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]

  37. 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] [ARXIV]

  38. 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]

  39. 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]

  40. 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

  41. 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]

  42. 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] [ARXIV]

24.10.2021, 06:05