Prof. Dr. Katrin Grit Gelfert

Profile

Academic positionAssociate Professor, Senior Lecturer, Reader
Research fieldsAnalysis, Differential Equations,Geometry, Topology
Keywordsdifferential equations, dynamical systems, ergodic theory, thermodynamic formalism

Current contact address

CountryBrazil
CityRio de Janeiro
InstitutionUniversidade Federal do Rio de Janeiro (UFRJ)
InstituteInstituto de Matematica
Homepagehttp://www.im.ufrj.br/~gelfert

Host during sponsorship

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
Start of initial sponsorship01/01/2009

Programme(s)

2008Feodor Lynen Research Fellowship Programme for Experienced Researchers

Publications (partial selection)

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