Linear Dynamical Systems on Hilbert Spaces: Typical Properties and Explicit Examples - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Dynamical Systems on Hilbert Spaces: Typical Properties and Explicit Examples write by S. Grivaux. This book was released on 2021-06-21. Linear Dynamical Systems on Hilbert Spaces: Typical Properties and Explicit Examples available in PDF, EPUB and Kindle. We solve a number of questions pertaining to the dynamics of linear operators on Hilbert spaces, sometimes by using Baire category arguments and sometimes by constructing explicit examples. In particular, we prove the following results. (i) A typical hypercyclic operator is not topologically mixing, has no eigen-values and admits no non-trivial invariant measure, but is densely distri-butionally chaotic. (ii) A typical upper-triangular operator with coefficients of modulus 1 on the diagonal is ergodic in the Gaussian sense, whereas a typical operator of the form “diagonal with coefficients of modulus 1 on the diagonal plus backward unilateral weighted shift” is ergodic but has only countably many unimodular eigenvalues; in particular, it is ergodic but not ergodic in the Gaussian sense. (iii) There exist Hilbert space operators which are chaotic and U-frequently hypercyclic but not frequently hypercyclic, Hilbert space operators which are chaotic and frequently hypercyclic but not ergodic, and Hilbert space operators which are chaotic and topologically mixing but not U-frequently hypercyclic. We complement our results by investigating the descriptive complexity of some natural classes of operators defined by dynamical properties.
Asymptotic Counting in Conformal Dynamical Systems
Asymptotic Counting in Conformal Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Counting in Conformal Dynamical Systems write by Mark Pollicott. This book was released on 2021-09-24. Asymptotic Counting in Conformal Dynamical Systems available in PDF, EPUB and Kindle. View the abstract.
The Mathematical Legacy of Victor Lomonosov
The Mathematical Legacy of Victor Lomonosov - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mathematical Legacy of Victor Lomonosov write by Richard M. Aron. This book was released on 2020-08-10. The Mathematical Legacy of Victor Lomonosov available in PDF, EPUB and Kindle. The fundamental contributions made by the late Victor Lomonosov in several areas of analysis are revisited in this book, in particular, by presenting new results and future directions from world-recognized specialists in the field. The invariant subspace problem, Burnside’s theorem, and the Bishop-Phelps theorem are discussed in detail. This volume is an essential reference to both researchers and graduate students in mathematical analysis.
Cohomological Tensor Functors on Representations of the General Linear Supergroup
Cohomological Tensor Functors on Representations of the General Linear Supergroup - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cohomological Tensor Functors on Representations of the General Linear Supergroup write by Thorsten Heidersdorf. This book was released on 2021-07-21. Cohomological Tensor Functors on Representations of the General Linear Supergroup available in PDF, EPUB and Kindle. We define and study cohomological tensor functors from the category Tn of finite-dimensional representations of the supergroup Gl(n|n) into Tn−r for 0 < r ≤ n. In the case DS : Tn → Tn−1 we prove a formula DS(L) = ΠniLi for the image of an arbitrary irreducible representation. In particular DS(L) is semisimple and multiplicity free. We derive a few applications of this theorem such as the degeneration of certain spectral sequences and a formula for the modified superdimension of an irreducible representation.
Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs
Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs write by Stefan Geiss. This book was released on 2021-11-16. Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs available in PDF, EPUB and Kindle. View the abstract.
