t-Entropy formulae for concrete classes of transfer operators
t-Entropy is a principal object of the spectral theory of operators, generated by dynamical systems, namely, weighted shift operators and transfer operators.
Krzysztof Bardadyn +3 more
doaj +1 more source
Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
doaj +1 more source
On the metrical theory of a non-regular continued fraction expansion
We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we compute the transition probability function from this and the symbolic dynamical system of the ...
Lascu Dan, Cîrlig George
doaj +1 more source
Conservation Laws and Invariant Measures in Surjective Cellular Automata [PDF]
We discuss a close link between two seemingly different topics studied in the cellular automata literature: additive conservation laws and invariant probability measures.
Jarkko Kari, Siamak Taati
doaj +1 more source
Deformation-specific and deformation-invariant visual object recognition: pose vs identity recognition of people and deforming objects [PDF]
When we see a human sitting down, standing up, or walking, we can recognise one of these poses independently of the individual, or we can recognise the individual person, independently of the pose. The same issues arise for deforming objects. For example,
Tristan J Webb +5 more
core +1 more source
Invariant measures and random attractors of stochastic delay differential equations in Hilbert space
This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also ...
Shangzhi Li, Shangjiang Guo
doaj +1 more source
Rotationally invariant texture based features [PDF]
Content-based retrieval is ultimately dependent on the features used for the annotation of data and its efficiency is dependent on the invariance and robust properties of these features.
Hill, PR, Canagarajah, CN, Bull, DR
core +1 more source
The work of Professor Andrzej Lasota on asymptotic stability and recent progress [PDF]
The paper is devoted to Professor Andrzej Lasota's contribution to the ergodic theory of stochastic operators. We have selected some of his important papers and shown their influence on the evolution of this topic. We emphasize the role A.
Wojciech Bartoszek
doaj
New Invariant Quantity To Measure The Entanglement In The Braids
In this work, we demonstrate that the integral formula for a generalised Sato-Levine invariant is consistent in certain situations with Evans and Berger's formula for the fourth-order winding number.
Faik Mayah +2 more
doaj +1 more source

