WIAS Preprint List: Tapia, Nikolas

• 3087: Schmitz, Leonard; Tapia, Nikolas
  Free generators and Hoffman's isomorphism for the two-parameter shuffle algebra
  
• 3083: Bellingeri, Carlo; Ferrucci, Emilio; Tapia, Nikolas
  Branched Itô formula and natural Itô--Stratonovich isomorphism
  
• 2945: Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo
  Shifted substitution in non-commutative multivariate power series with a view towards free probability
  Appeared in: SIGMA Symmetry Integrability Geom. Methods Appl., 19 (2023), pp. 038/1--038/17, DOI 10.3842/SIGMA.2023.038 .
• 2926: Varzaneh, Mazyar Ghani; Riedel, Sebastian; Schmeding, Alexander; Tapia, Nikolas
  The geometry of controlled rough paths
  
• 2814: Friz, Peter; Hager, Paul; Tapia, Nikolas
  Unified signature cumulants and generalized Magnus expansions
  Appeared in: Forum Math. Sigma, 10 (2022), pp. e42/1--e42/60, DOI 10.1017/fms.2022.20 .
• 2796: Diehl, Joscha; Preiß, Rosa; Ruddy, Michael; Tapia, Nikolas
  The moving frame method for iterated-integrals: Orthogonal invariants
  Appeared in: Found. Comput. Math., published online on 01.06.2022, DOI 10.1007/s10208-022-09569-5 .
• 2795: Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas
  Generalized iterated-sums signatures
  Appeared in: J. Algebra, 632 (2023), pp. 801--824, DOI 10.1016/j.jalgebra.2023.06.007 .
• 2760: Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas
  Tropical time series, iterated-sum signatures and quasisymmetric functions
  Appeared in: SIAM J. Appl. Algebr. Geom., 6:4 (2022), pp. 563--599.
• 2736: Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas
  Iterated-sums signature, quasi-symmetric functions and time series analysis
  Appeared in: Sem. Lothar. Combin., 84B (2020), pp. 86/1--86/12.
• 2732: Bayer, Christian; Friz, Peter; Tapia, Nikolas
  Stability of deep neural networks via discrete rough paths
  Appeared in: SIAM J. Math. Data Sci., 5 (2023), pp. 50--76, DOI 10.1137/22M1472358 .
• 2696: Bellinger, Carlo; Djurdjevac, Ana; Friz, Peter; Tapia, Nikolas
  Transport and continuity equations with (very) rough noise
  Appeared in: SN Partial Differ. Equ. Appl., 2 (2021), pp. 2--26, DOI 10.1007/s42985-021-00101-y .
• 2677: Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo
  Wick polynomials in non-commutative probability: A group-theoretical approach
  Appeared in: Comput. Fluids, (2021), published online on 25.08.2021, DOI 10.4153/S0008414X21000407 .
• 2645: Tapia, Nikolas; Zambotti, Lorenzo
  The geometry of the space of branched rough paths
  Appeared in: Proc. London Math. Soc. (3), 121 (2020), pp. 220--251, DOI 10.1112/plms.12311 .
• 2603: Diehl, Joscha; Kurusch, Ebrahimi-Fard; Tapia, Nikolas
  Time-warping invariants of multidimensional time series
  Appeared in: Acta Appl. Math., (2020), published online on 14.05.2020, DOI 10.1007/s10440-020-00333-x .