Results 11 to 20 of about 504 (127)

Transfer operators for coupled analytic maps [PDF]

, 2000
We consider analytically coupled circle maps (uniformly expanding and analytic) on the ${\mathbb Z}^d$-lattice with exponentially decaying interaction.
Rugh, Hans Henrik, Fischer, T., Fischer, Torsten   +2 more
core   +1 more source

A note on mean ergodic composition operators on spaces of holomorphic functions [PDF]

, 2011
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded.
José Bonet, Domanski, Pawel, Bonet Solves, José Antonio, Paweł Domański   +3 more
core   +1 more source

A commutative noncommutative fractal geometry

, 2011
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
core   +1 more source

Recurrence Properties of Hypercyclic Operators [PDF]

, 2016
[EN] We generalize the notions of hypercyclic operators, U-frequently hypercyclic operators and frequently hypercyclic operators by introducing a new concept in linear dynamics, namely A-hypercyclicity.
Bès, Juan Pablo, Puig-De Dios, Yunied, Peris Manguillot, Alfredo, Menet, Quentin, Menet, Q., Peris, A., Peris, Alfredo, Puig, Yunied, Bes, Juan, Puig, Y.   +9 more
core   +1 more source

Ergodic properties of Kantorovich operators

, 2023
Kantorovich operators are non-linear extensions of Markov operators and are omnipresent in several branches of mathematical analysis. The asymptotic behaviour of their iterates plays an important role even in classical ergodic, potential and probability ...
Bowles, Malcolm, Ghoussoub, Nassif
core  

Ergodic theory and the approximate solution of simultaneous linear functional equations

, 1979
It is shown that, for a nonempty ergodic family {Tt: t ϵ J} of continuous linear operators on a topological vector space, the solution by iteration of the simultaneous linear functional equations x − Tt(x) = h, t ϵ J, is a special case of mean ergodic ...
Sato, Ryotaro
core   +1 more source

Idempotent structures in optimization [PDF]

, 2001
Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Cesaro bounded operators in Banach spaces [PDF]

, 2020
[EN] We study several notions of boundedness for operators. It is known that any power bounded operator is absolutely Cesaro bounded and strongly Kreiss bounded (in particular, uniformly Kreiss bounded). The converses do not hold in general. In this note,
Muller, Vladimir, Peris Manguillot, Alfredo, Bermúdez, Teresa, Bonilla, Antonio   +3 more
core   +1 more source

Ergodic properties of operators in some semi-Hilbertian spaces

, 2012
This article deals with linear operators T on a complex Hilbert space , which are bounded with respect to the seminorm induced by a positive operator A on .
Suciu, Laurian, Secelean, Nicolae, Majdak, Witold   +2 more
core   +1 more source

Stationary distributions for diffusions with inert drift [PDF]

, 2010
Consider reflecting Brownian motion in a bounded domain in $${\mathbb R^d}$$ that acquires drift in proportion to the amount of local time spent on the boundary of the domain.
Hairer, Martin, Chen, Zhen-Qing, Bass, Richard F., Burdzy, K. (Krzysztof)   +3 more
core   +1 more source