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All issues Volume 27 (2023) ESAIM: PS, 27 (2023) 136-155 References
Open Access
Issue
ESAIM: PS
Volume 27, 2023
Page(s) 136 - 155
DOI https://doi.org/10.1051/ps/2022016
Published online 20 January 2023
  1. A. Brault, Solving Rough Differential Equations with the Theory of Regularity Structures. Springer International Publishing, Cham (2019), pp. 127–164. [Google Scholar]
  2. L. Broux and L. Zambotti, The sewing lemma for 0 < γ ≤ 1. Preprint arXiv:2110.06928 (2021). [Google Scholar]
  3. F. Caravenna and L. Zambotti, Hairer’s reconstruction theorem without regularity structures. EMS Surv. Math. Sci. 7 (2020) 207–251. [Google Scholar]
  4. A. Chandra and H. Weber, Stochastic PDEs, regularity structures, and interacting particle systems. Ann. Fac. Sci. Toulouse Math. (6) 26 (2017) 847–909. [CrossRef] [MathSciNet] [Google Scholar]
  5. I. Daubechies, Orthonormal bases of compactly supported wavelets. Commun. Pure Appl. Math. 41 (1988) 909–996. [CrossRef] [Google Scholar]
  6. P.K. Friz and M. Hairer, A course on rough paths, Universitext. Springer, Cham (2014). With an introduction to regularity structures. [Google Scholar]
  7. P. Friz and N. Victoir, A variation embedding theorem and applications. J. Funct. Anal. 239 (2006) 631–637. [CrossRef] [MathSciNet] [Google Scholar]
  8. P. Friz and N. Victoir, Multidimensional stochastic processes as rough paths. Theory and applications. Cambridge University Press (2010). [Google Scholar]
  9. M. Hairer, A theory of regularity structures. Invent. Math. 198 (2014) 269–504. [CrossRef] [MathSciNet] [Google Scholar]
  10. M. Hairer, Introduction to regularity structures. Braz. J. Probab. Stat. 29 (2015) 175–210. [CrossRef] [MathSciNet] [Google Scholar]
  11. M. Hairer and C. Labbe, The reconstruction theorem in Besov spaces. J. Funct. Anal. 273 (2017) 2578–2618. [CrossRef] [MathSciNet] [Google Scholar]
  12. S. Hensel and T. Rosati, Modelled distributions of Triebel-Lizorkin type. Studia Math. 252 (2020) 251–297. [CrossRef] [MathSciNet] [Google Scholar]
  13. C. Liu, D.J. Promel and J. Teichmann, Optimal extension to Sobolev rough paths. Preprint arXiv:1811.05173 (2018). [Google Scholar]
  14. C. Liu, D.J. Prömel and J. Teichmann, On Sobolev rough paths. J. Math. Anal. Appl. 497 (2021) 124876. [CrossRef] [Google Scholar]
  15. C. Liu, D.J. Promel and J. Teichmann, Stochastic analysis with modelled distributions. Stoch. Partial Differ. Equ. Anal. Comput. 9 (2021) 343–379. [MathSciNet] [Google Scholar]
  16. T.J. Lyons, M. Caruana and T. Levy, Differential equations driven by rough paths. Vol. 1908 of Lecture Notes in Mathematics. Springer, Berlin (2007). [Google Scholar]
  17. T. Lyons and N. Victoir, An extension theorem to rough paths. Ann. Inst. H. Poincare Anal. Non Linéaire 24 (2007) 835–847. [CrossRef] [MathSciNet] [Google Scholar]
  18. T.J. Lyons, Differential equations driven by rough signals. Rev. Mat. Iberoam. 14 (1998) 215–310. [CrossRef] [Google Scholar]
  19. Y. Meyer, Wavelets and operators, vol. 37 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (1992). Translated from the 1990 French original by D. H. Salinger. [Google Scholar]
  20. C. Schneider, Traces of Besov and Triebel-Lizorkin spaces on domains. Math. Nachrichten 284 (2011) 572–586. [CrossRef] [MathSciNet] [Google Scholar]
  21. J. Simon, Sobolev, Besov and Nikolskii fractional spaces: imbeddings and comparisons for vector valued spaces on an interval. Ann. Mat. Pura Appl. (4) 157 (1990) 117–148. [CrossRef] [MathSciNet] [Google Scholar]
  22. N. Tapia and L. Zambotti, The geometry of the space of branched rough paths. Proc. Lond. Math. Soc. (3) 121 (2020) 220–251. [CrossRef] [MathSciNet] [Google Scholar]
  23. H. Triebel, Theory of Function Spaces. Birkhöuser Verlag, Basel (2010). Reprint of the 1983 Edition. [Google Scholar]
  24. J. Unterberger, Holder-continuous rough paths by Fourier normal ordering. Commun. Math. Phys. 298 (2010) 1–36. [CrossRef] [Google Scholar]

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