17 citations · 63 across the 20 of their papers we have counts for
31 papers
Weak limit semigroup in operator theory and ergodic theory
Tanja Eisner, Valentin Gillet
We study the weak limit semigroup of an operator , i.e., the set of all operators being weak limit points of the powers of , in three different but related contexts: Koopman…
A generic transformation is invertible
Tanja Eisner
We show that, on a standard non-atomic probability space, invertible measure-preserving transformations form a dense subset of the space of all measure-preserving transformat…
A view on multiple recurrence
Tanja Eisner
In this note we present a proof of multiple recurrence for ergodic systems (and thereby of Szemerédi's theorem) being a mixture of three known proofs. It is based on a conditional…
Embeddability of real and positive operators
Tanja Eisner, Agnes Radl
Embedding discrete Markov chains into continuous ones is a famous open problem in probability theory with many applications. Inspired by recent progress, we study the closely relat…
Resolvent conditions and growth of powers of operators on spaces
Christophe Cuny
Let be a bounded linear operator on . We study the rate of growth of the norms of the powers of under resolvent conditions or Cesàro boundedness assumptions. Actually…
Power bounded operators and the mean ergodic theorem for subsequences
Tanja Eisner, Vladimir Müller
Let be a power bounded Hilbert space operator without unimodular eigenvalues. We show that the subsequential ergodic averages converge in the stron…