Publications

Publications and Preprints:

[2] F. Cornalba, J. Fischer, J. Ingmanns, and C. Raithel, Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation, To appear in Annals of Probability, PDF. 

[1] E. Davoli, L. D'Elia, and J. Ingmanns,  Stochastic homogenization of micromagnetic energies and emergence of  magnetic  skyrmions, Journal of Nonlinear Science, vol. 34, no .2, Jan. 2024, doi.org/10.1007/s00332-023-10005-3, PDF.

Unpublished Notes:

[N2] F. Cornalba and J. Ingmanns, A product rule for higher order finite difference operators, here (2023), PDF.

[N1] J. Ingmanns, The normal derivative of the s-harmonic Caffarelli-Silvestre extension is the (2-s)-harmonic extension of the s/2-Laplacian, here (2023), PDF. 

Master Thesis:

[T] J. Ingmanns, Estimates for commutators of fractional differential operators via harmonic extension, arXiv (2020), doi.org/10.48550/arXiv.2012.12072, PDF.