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Tatjana Eisner (born Lobova)

Eine Ebene höher
Dienstadresse
PD Dr. Tanja Eisner
Mathematisches Institut
Auf der Morgenstelle 10
72076 Tübingen
Germany
Telefon +49-(0)7071-29-73243
E-Mail
Externe Webseite http://www.math.uni-leipzig.de/~eisner/


Research Interests

  • functional analysis (semigroup theory, operator theory)
  • ergodic theory (mixing, rigidity, multiple ergodic theorems)
  • complex analysis (location of zeros of entire functions)

Books

Operator Theoretic Aspects of Ergodic Theory
Graduate Texts in Mathematics. Springer, to appear, 2014.

 Stability of Operators and Operator Semigroups Stability of Operators and Operator Semigroups
Operator Theory: Advances and Applications, Vol. 209. Birkhäuser Verlag, Basel, 2010. 204 pp.

Papers

  • Linear sequences and weighted ergodic theorems, Abstr. Appl. Anal. 2013, Art. ID 815726. [arXiv]
  • (with Pavel Zorin-Kranich) Uniformity in the Wiener-Wintner theorem for nilsequences, Discrete Contin. Dyn. Syst. 33 (2013) 3497-3516. [arXiv]
  • (with Tamás Mátrai) On typical properties of Hilbert space operators, Israel J. Math, to appear. [arXiv]
  • Rigidity of contractions on Hilbert spaces, Groups, Geom., Dyn., to appear. [arXiv]
  • (with Dávid Kunszenti-Kovács) On the entangled ergodic theorem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) XII (2013), 141-156. [arXiv]
  • (with Terence Tao) Large values of the Gowers-Host-Kra seminorms, J. Anal. Math. 117 (2012), 133-186. [arXiv]
  • (with Sophie Grivaux) Hilbertian Jamison sequences and rigid dynamical systems, J. Funct. Anal. 261 (2011), 2013-2052. [arXiv]
  • (with Tim Austin and Terence Tao) Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems, Pacific J. Math. 250 (2011), 1-60. [arXiv]
  • A "typical" contraction is unitary, Enseign. Math. (2) 56 (2010), 403-410. [pdf-file]
  • (with András Serény) On the weak analogue of the Trotter-Kato theorem, Taiwanese J. Math. 14 (2010), 1411-1416. [pdf-file]
  • Embedding operators into strongly continuous semigroups, Arch. Math. (Basel) 92 (2009), 451-460. [pdf-file]
  • (with András Serény) Category theorems for stable semigroups, Ergodic Theory Dynamical Systems 29 (2009), 487-494. [pdf-file]
  • (with Hans Zwart) The growth of a C0-semigroup characterised by its cogenerator, J. Evol. Equ. 8 (2008), 749-764. [pdf-file]
  • (with András Serény) Category theorems for stable operators on Hilbert spaces, Acta Sci. Math. (Szeged) 74 (2008), 259-270. [pdf-file]
  • (with András Bátkai and Yuri Latushkin) The spectral mapping property of delay semigroups, Compl. Anal. Oper. Theory 2 (2008), 273-283. [pdf-file]
  • (with Bálint Farkas) Weak stability of orbits of C0-semigroups on Banach spaces. In H. Amann, W. Arendt, M. Hieber, F. Neubrander, S. Nicaise, J. von Below (eds), Functional Analysis and Evolution Equations. The Günter Lumer Volume (2007), 201-208. [pdf-file]
  • (with Hans Zwart) A note on polynomially growing C0-semigroups, Semigroup Forum 75 (2007), 438-445. [pdf-file]
  • (with Bálint Farkas, Rainer Nagel and András Serény) Weakly and almost weakly stable C0-semigroups, Int. J. Dyn. Syst. Differ. Equ. 1 (2007), 44-57. [pdf-file]
  • (with Hans Zwart) Continuous-time Kreiss resolvent condition on infinite-dimensional spaces, Math. Comp. 75 (2006), 1971-1985. [pdf-file]
  • Polynomially bounded semigroups, Semigroup Forum 70 (2005), 118-126. [pdf-file]
  • (with Olga M. Katkova and Anna M. Vishnyakova) On entire functions having Taylor sections with only real zeros, Mat. Fiz. Anal. Geom. 11 (2004), 449-469.
  • (with Olga M. Katkova and Anna M. Vishnyakova) On power series having sections with only real zeros, Comput. Methods Funct. Theory 3 (2003), 425-441.
  • On variation preserving operators, Mat. Fiz. Anal. Geom. 10 (2003), 94-105.

Interests

  • painting, tennis
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