Prof. Dr. Katrin Grit Gelfert

Profil

Derzeitige StellungProfessor W-2 und Äquivalente
FachgebietAnalysis, Differentialgleichungen,Geometrie, Topologie
Keywordsdifferential equations, dynamical systems, ergodic theory, thermodynamic formalism

Aktuelle Kontaktadresse

LandBrasilien
OrtRio de Janeiro
Universität/InstitutionUniversidade Federal do Rio de Janeiro (UFRJ)
Institut/AbteilungInstituto de Matematica
Websitehttp://www.im.ufrj.br/~gelfert

Gastgeber*innen während der Förderung

Prof. Dr. Arnaldo GarciaInstituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro
Prof. Dr. Marcelo VianaInstituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro
Beginn der ersten Förderung01.01.2009

Programm(e)

2008Feodor Lynen-Forschungsstipendien-Programm für erfahrene Forschende

Publikationen (Auswahl)

2020D\'{\i}az, Lorenzo J. and Gelfert, Katrin and Santiago, Bruno: Weak{$*$} and entropy approximation of nonhyperbolic measures: a geometrical approach. In: Math. Proc. Cambridge Philos. Soc., 169, 2020, 507--545
2019D\'{\i}az, L. J. and Gelfert, K. and Rams, M.: Entropy spectrum of {L}yapunov exponents for nonhyperbolic step skew-products and elliptic cocycles. In: Comm. Math. Phys., 367, 2019, 351--416
2019Campos, Sara and Gelfert, Katrin: Exceptional sets for nonuniformly hyperbolic diffeomorphisms. In: J. Dynam. Differential Equations, 31, 2019, 979--1004
2019Gelfert, Katrin and Ruggiero, Rafael O.: Geodesic flows modelled by expansive flows. In: Proc. Edinb. Math. Soc. (2), 62, 2019, 61--95
2019D\'{\i}az, L. J. and Gelfert, K. and Gr\"{o}ger, M. and J\"{a}ger, T.: Hyperbolic graphs: critical regularity and box dimension. In: Trans. Amer. Math. Soc., 371, 2019, 8535--8585
2019Gelfert, Katrin: Non-hyperbolic behavior of geodesic flows of rank 1 surfaces. In: Discrete Contin. Dyn. Syst., 39, 2019, 521--551
2018Bochi, Jairo and Bonatti, Christian and Gelfert, Katrin: Dominated {P}esin theory: convex sum of hyperbolic measures. In: Israel J. Math., 226, 2018, 387--417
2018Gelfert, Katrin and Kwietniak, Dominik: On density of ergodic measures and generic points. In: Ergodic Theory Dynam. Systems, 38, 2018, 1745--1767
2017D\'{\i}az, L. J. and Gelfert, K. and Rams, M.: Nonhyperbolic step skew-products: ergodic approximation. In: Ann. Inst. H. Poincar\'{e} Anal. Non Lin\'{e}aire, 34, 2017, 1561--1598
2017Gelfert, Katrin and Stenflo, \"{O}rjan: Random iterations of homeomorphisms on the circle. In: Mod. Stoch. Theory Appl., 4, 2017, 253--271
2016Campos, Sara and Gelfert, Katrin: Exceptional sets for nonuniformly expanding maps. In: Nonlinearity, 29, 2016, 1238--1256
2016Gelfert, Katrin: Horseshoes for diffeomorphisms preserving hyperbolic measures. In: Math. Z., 283, 2016, 685--701
2016Gelfert, Katrin and Przytycki, Feliks and Rams, Micha\l Lyapunov spectrum for multimodal maps. In: Ergodic Theory Dynam. Systems, 36, 2016, 1441--1493
2014Burns, Keith and Gelfert, Katrin: Lyapunov spectrum for geodesic flows of rank 1 surfaces. In: Discrete Contin. Dyn. Syst., 34, 2014, 1841--1872
2014Gelfert, Katrin and Schapira, Barbara: Pressures for geodesic flows of rank one manifolds. In: Nonlinearity, 27, 2014, 1575--1594
2013Gelfert, Katrin and Przytycki, Feliks and Rams, Micha\l and Rivera-Letelier, Juan: Lyapunov spectrum for exceptional rational maps. In: Ann. Acad. Sci. Fenn. Math., 38, 2013, 631--656
2013D\'{\i}az, L. J. and Gelfert, K.: Porcupine-like horseshoes: topological and ergodic aspects. Progress and challenges in dynamical systems. Springer, Heidelberg, 2013. 199--219
2012D\'{\i}az, Lorenzo J. and Gelfert, Katrin: Porcupine-like horseshoes: transitivity, {L}yapunov spectrum, and phase transitions. In: Fund. Math., 216, 2012, 55--100
2011Barreira, Luis and Gelfert, Katrin: Dimension estimates in smooth dynamics: a survey of recent results. In: Ergodic Theory Dynam. Systems, 31, 2011, 641--671
2010Gelfert, Katrin: Repellers for non-uniformly expanding maps with singular or critical points. In: Bull. Braz. Math. Soc. (N.S.), 41, 2010, 237--257