Musterbildung, Energielandschaften und Skalierungsgesetze

Direktor:
Felix Otto

Kontakt: Email
Telefon:
+49 (0) 341 - 9959 - 950
Fax:
+49 (0) 341 - 9959 - 658

Anschrift:
Inselstr. 22
04103 Leipzig

Sekretariat:
Katja Heid
Email, Telefon:
+49 (0) 341 - 9959 - 951

Homogenization

  1. Georgiana Chatzigeorgiou ; Peter Morfe ; Felix Otto and Lihan Wang: The Gaussian free-field as a stream function : asymptotics of effective diffusivity in infra-red cut-off
    Repository Open Access

  2. Nicolas Clozeau ; Marc Josien ; Felix Otto and Qiang Xu: Bias in the representative volume element method : periodize the ensemble instead of its realizations
    Repository Open Access

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

  4. Matti Schneider ; Marc Josien and Felix Otto: Representative volume elements for matrix-inclusion composites : a computational study on the effects of an improper treatment of particles intersecting the boundary and the benefits of periodizing the ensemble
    In: Journal of the mechanics and physics of solids, 158 (2022), 104652
    Bibtex DOI: 10.1016/j.jmps.2021.104652 ARXIV: https://arxiv.org/abs/2103.07627
    Journal Open Access

  5. 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
    Bibtex DOI: 10.4171/OWR/2019/35 LINK: https://publications.mfo.de/handle/mfo/3783
    Repository Open Access

  6. Marc Josien and Felix Otto: The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
    In: Journal of functional analysis, 283 (2022) 7, 109594
    Bibtex MIS-Preprint: 57/2020 DOI: 10.1016/j.jfa.2022.109594 ARXIV: https://arxiv.org/abs/2005.08811 LINK: https://hal.archives-ouvertes.fr/hal-02612489/
    Repository Open Access

  7. Arianna Giunti and Felix Otto: On the existence of the Green function for elliptic systems in divergence form
    In: Manuscripta mathematica, 167 (2022) 1/2, p. 385-402
    Bibtex DOI: 10.1007/s00229-021-01271-0 ARXIV: https://arxiv.org/abs/1911.02110
    Journal Open Access

  8. Antoine Gloria ; Stefan Neukamm and Felix Otto: Quantitative estimates in stochastic homogenization for correlated coefficient fields
    In: Analysis and PDE, 14 (2021) 8, p. 2497-2537
    Bibtex DOI: 10.2140/apde.2021.14.2497 ARXIV: https://arxiv.org/abs/1910.05530
    Repository Open Access

  9. 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
    Bibtex DOI: 10.1002/nla.2296 ARXIV: https://arxiv.org/abs/1903.12227
    Journal Open Access

  10. 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
    Bibtex DOI: 10.1007/s40072-019-00156-4 ARXIV: https://arxiv.org/abs/1903.02329
    Repository Open Access

  11. 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
    Bibtex DOI: 10.4171/OWR/2018/6 LINK: https://publications.mfo.de/handle/mfo/3628
    Repository Open Access

  12. 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
    Bibtex DOI: 10.1007/s00440-020-00983-w ARXIV: https://arxiv.org/abs/1807.11781
    Repository Open Access

  13. 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
    Bibtex DOI: 10.4171/OWR/2017/33 LINK: https://publications.mfo.de/handle/mfo/3597
    Repository Open Access

  14. Jianfeng Lu and Felix Otto: Optimal artificial boundary condition for random elliptic media
    In: Foundations of computational mathematics, 21 (2021) 6, p. 1643-1702
    Bibtex DOI: 10.1007/s10208-021-09492-1 ARXIV: https://arxiv.org/abs/1803.09593
    Repository Open Access

  15. Peter Bella ; Arianna Giunti and Felix Otto: Effective multipoles in random media
    In: Communications in partial differential equations, 45 (2020) 6, p. 561-640
    Bibtex DOI: 10.1080/03605302.2020.1743309 ARXIV: https://arxiv.org/abs/1708.07672
    Repository Open Access

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

  17. 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
    Bibtex DOI: 10.1137/16M110229X ARXIV: https://arxiv.org/abs/1609.01528
    Repository Open Access

  18. 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
    Bibtex MIS-Preprint: 47/2016 DOI: 10.1214/17-AAP1332 ARXIV: https://arxiv.org/abs/1605.00687
    Repository Open Access

  19. 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
    Bibtex DOI: 10.4171/OWR/2015/35
    Repository Open Access

  20. 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
    Bibtex MIS-Preprint: 34/2016 DOI: 10.1007/s00526-017-1255-0 ARXIV: http://arxiv.org/abs/1602.05625
    Journal Open Access

  21. 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
    Bibtex DOI: 10.1007/s00220-020-03722-3 ARXIV: http://arxiv.org/abs/1602.01717
    Repository Open Access

  22. Antoine Gloria and Felix Otto: The corrector in stochastic homogenization : optimal rates, stochastic integrability, and fluctuations
    Repository Open Access

  23. 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
    Bibtex DOI: 10.1007/s40072-016-0086-x ARXIV: http://arxiv.org/abs/1508.00025
    Journal Open Access

  24. 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)
    Bibtex DOI: 10.1090/pcms/023/07 ARXIV: http://arxiv.org/abs/1504.02487
    Repository Open Access

  25. 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
    Bibtex DOI: 10.1016/j.jfa.2015.09.020 ARXIV: http://arxiv.org/abs/1503.08280
    Repository Open Access

  26. 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
    Bibtex DOI: 10.1080/03605302.2016.1179318 ARXIV: http://arxiv.org/abs/1503.07578
    Journal Open Access

  27. 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
    Bibtex MIS-Preprint: 100/2014 DOI: 10.1137/15M1037147 ARXIV: http://arxiv.org/abs/1409.5271
    Repository Open Access

  28. 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
    Bibtex DOI: 10.1007/s00032-020-00309-4 ARXIV: https://arxiv.org/abs/1409.2678
    Repository Open Access

  29. 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
    Bibtex MIS-Preprint: 12/2015 DOI: 10.1051/proc/201448003 ARXIV: http://arxiv.org/abs/1409.1161
    Journal Open Access

  30. 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
    Bibtex DOI: 10.4171/OWR/2013/57 LINK: https://publications.mfo.de/handle/mfo/3388
    Repository Open Access

  31. 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
    Bibtex DOI: 10.4171/JEMS/745 ARXIV: http://arxiv.org/abs/1409.0801
    Repository Open Access

  32. 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
    Bibtex MIS-Preprint: 11/2015 DOI: 10.1214/15-AOP1045 ARXIV: http://arxiv.org/abs/1402.1924
    Repository Open Access

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

  34. Daniel Marahrens and Felix Otto: On annealed elliptic Green's function estimates
    In: Mathematica bohemica, 140 (2015) 4, p. 489-506
    Bibtex MIS-Preprint: 13/2015 ARXIV: http://arxiv.org/abs/1401.2859 LINK: http://dml.cz/handle/10338.dmlcz/144465
    Repository Open Access

  35. 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
    Bibtex LINK: http://www.mpg.de/7775250/MPI_MIS_JB_2014
    Repository Open Access

  36. 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
    Bibtex DOI: 10.4171/OWR/2013/14 LINK: https://publications.mfo.de/handle/mfo/3345
    Repository Open Access

  37. 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
    Bibtex DOI: 10.4171/OWR/2013/14 LINK: https://publications.mfo.de/handle/mfo/3345
    Repository Open Access

  38. 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
    Bibtex MIS-Preprint: 63/2014 DOI: 10.1214/EJP.v20-3618 ARXIV: http://arxiv.org/abs/1406.5723
    Journal Open Access

  39. 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
    Bibtex MIS-Preprint: 41/2013 DOI: 10.1051/m2an/2013110 ARXIV: https://arxiv.org/abs/1409.1157
    Repository Open Access

  40. Daniel Marahrens and Felix Otto: Annealed estimates on the Green function
    In: Probability theory and related fields, 163 (2014) 3-4, p. 527-573
    Bibtex MIS-Preprint: 69/2012 DOI: 10.1007/s00440-014-0598-0 ARXIV: http://arxiv.org/abs/1304.4408
    Repository Open Access

  41. 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
    Bibtex MIS-Preprint: 91/2013 DOI: 10.1007/s00222-014-0518-z
    Repository Open Access

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

  43. 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
    Bibtex MIS-Preprint: 28/2010 DOI: 10.1214/10-AAP745 ARXIV: https://arxiv.org/abs/1203.0908
    Repository Open Access

  44. 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
    Bibtex DOI: 10.1214/10-AOP571 ARXIV: https://arxiv.org/abs/1104.1291
    Repository Open Access

07.06.2023, 06:05