Professur Stochastik
Veröffenlichungen

Veröffentlichungen


  • Freiberg, U. R. and Kohl, S., Box dimension of fractal attractors and their numerical computation, Commun. Nonlinear Sci. Numer. Simul. 95 (2021), Paper No. 105615, 18, https://doi.org/10.1016/j.cnsns.2020.105615
  • Freiberg, U. R. and Rastegaev, N. V., On the asymptotics of the spectrum of the Sturm-Liouville problem with self-conformal singular weight, Sibirsk. Mat. Zh. 61 (2020), no. 5, 1130-1143, https://doi.org/10.33048/smzh.2020.61.514
  • Freiberg, U. R. and Rastegaev, N. V., On spectral asymptotics of the Sturm-Liouville problem with self-conformal singular weight with strong bounded distortion property, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 477 (2018), no. Kraevye Zadachi Matematicheskoi Fiziki i Smezhnye Voprosy Teorii Funktsii. 47, 129-135
  • Alonso Ruiz, P. and Freiberg, U. R. and Kigami, J., Completely symmetric resistance forms on the stretched Sierpiński gasket, J. Fractal Geom. 5 (2018), no. 3, 227-277, https://doi.org/10.4171/JFG/61
  • Freiberg, U. R. and Hambly, B. M. and Hutchinson, J. E., Spectral asymptotics for $V$-variable Sierpinski gaskets, Ann. Inst. Henri Poincaré Probab. Stat. 53 (2017), no. 4, 2162-2213, https://doi.org/10.1214/16-AIHP787
  • Freiberg, U. R. and Heuberger, C. and Prodinger, H., Application of Smirnov words to waiting time distributions of runs, Electron. J. Combin. 24 (2017), no. 3, Paper No. 3.55, 12, https://doi.org/10.37236/5753
  • Alonso Ruiz, P. and Freiberg, U. R., Weyl asymptotics for Hanoi attractors, Forum Math. 29 (2017), no. 5, 1003-1021, https://doi.org/10.1515/forum-2015-0179
  • Freiberg, U. R. and Seifert, C., Dirichlet forms for singular diffusion in higher dimensions, J. Evol. Equ. 15 (2015), no. 4, 869-878, https://doi.org/10.1007/s00028-015-0284-4
  • Alonso-Ruiz, P. and Freiberg, U. R., Dirichlet forms on non-self-similar fractals: Hanoi attractors, Int. J. Appl. Nonlinear Sci. 1 (2014), no. 3, 247-274, https://doi.org/10.1504/IJANS.2014.065150
  • Freiberg, U. and Thäle, C., Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets, Methodol. Comput. Appl. Probab. 15 (2013), no. 3, 485-509, https://doi.org/10.1007/s11009-011-9254-7
  • Barnsley, M. and Freiberg, U. and La Torre, D., Optimization on fractals and stability, J. Nonlinear Convex Anal. 13 (2012), no. 4, 695-708
  • Freiberg, U. and Kombrink, S., Minkowski content and local Minkowski content for a class of self-conformal sets, Geom. Dedicata 159 (2012), 307-325, https://doi.org/10.1007/s10711-011-9661-5
  • Freiberg, U. R., Einstein relation on fractal objects, Discrete Contin. Dyn. Syst. Ser. B 17 (2012), no. 2, 509-525, https://doi.org/10.3934/dcdsb.2012.17.509
  • Freiberg, U., Refinement of the spectral asymptotics of generalized Krein Feller operators, Forum Math. 23 (2011), no. 2, 427-445, https://doi.org/10.1515/FORM.2011.017
  • Freiberg, U. and La Torre, D. and Mendivil, F., Iterated function systems and stability of variational problems on self-similar objects, Nonlinear Anal. Real World Appl. 12 (2011), no. 2, 1123-1129, https://doi.org/10.1016/j.nonrwa.2010.09.006
  • Freiberg, U. R., Some remarks on the Hausdorff and spectral dimension of $V$-variable nested fractals, Recent developments in fractals and related fields, 267-282, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Boston, MA, 2010, https://doi.org/10.1007/978-0-8176-4888-6_17
  • Freiberg, U. and Thäle, C., A Markov chain algorithm for determining crossing times through nested graphs, Fifth Colloquium on Mathematics and Computer Science, 501-517, Discrete Math. Theor. Comput. Sci. Proc., AI, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2008
  • Freiberg, U. R., Prüfer angle methods in spectral analysis of Krein-Feller-operators, Proceedings of RIMS Workshop on Stochastic Analysis and Applications, 71-84, RIMS Kôkyûroku Bessatsu, B6, Res. Inst. Math. Sci. (RIMS), Kyoto, 2008
  • Freiberg, U. R. and Lancia, M. R., Energy forms on conformal $\scr C^1$-diffeomorphic images of the Sierpinski gasket, Math. Nachr. 281 (2008), no. 3, 337-349, https://doi.org/10.1002/mana.200510606
  • Freiberg, U. R., Analysis on fractal objects, Meccanica 40 (2005), no. 4-6, 419-436, https://doi.org/10.1007/s11012-005-2107-0

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