Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Špitalský, Vladimír"'
Recurrence rate, determinism, average line length, and entropy of line lengths are measures of complexity in recurrence quantification analysis, that help to understand the structure, predictability and complexity of dynamical systems. In this paper,
Externí odkaz:
http://arxiv.org/abs/2310.12136
We characterize dendrites $D$ such that a continuous selfmap of $D$ is generically chaotic (in the sense of Lasota) if and only if it is generically $\varepsilon$-chaotic for some $\varepsilon>0$. In other words, we characterize dendrites on which ge
Externí odkaz:
http://arxiv.org/abs/2102.00486
A space is called minimal if it admits a minimal continuous selfmap. We give examples of metrizable continua $X$ admitting both minimal homeomorphisms and minimal noninvertible maps, whose squares $X\times X$ are not minimal, i.e., they admit neither
Externí odkaz:
http://arxiv.org/abs/2005.06969
Autor:
Špitalský, Vladimír
The period-doubling sequence is one of the most well-known aperiodic $0$-$1$ sequences. In this paper, a complete description of its symbolic recurrence plot is given, and formulas for asymptotic values of basic recurrence quantifiers are derived.
Externí odkaz:
http://arxiv.org/abs/1807.09096
Autor:
Snoha, Ľubomír, Špitalský, Vladimír
We completely solve the problem whether the product of two compact metric spaces admitting minimal maps also admits a minimal map. Recently Boro\'nski, Clark and Oprocha gave a negative answer in the particular case when homeomorphisms rather than co
Externí odkaz:
http://arxiv.org/abs/1803.06323
Autor:
Špitalský, Vladimír
Recurrence determinism, one of the fundamental characteristics of recurrence quantification analysis, measures predictability of a trajectory of a dynamical system. It is tightly connected with the conditional probability that, given a recurrence, fo
Externí odkaz:
http://arxiv.org/abs/1712.03023
We study minimality for continuous actions of abelian semigroups on compact Hausdorff spaces with a free interval. First, we give a necessary and sufficient condition for such a space to admit a minimal action of a given abelian semigroup. Further, f
Externí odkaz:
http://arxiv.org/abs/1703.10445
Autor:
Špitalský, Vladimír
Local correlation entropy, introduced by Takens in 1983, represents the exponential decay rate of the relative frequency of recurrences in the trajectory of a point, as the embedding dimension grows to infinity. In this paper we study relationship be
Externí odkaz:
http://arxiv.org/abs/1612.02592
Autor:
Grendár, Marian, Špitalský, Vladimír
Publikováno v:
Electron. J. Statist. 11 (2017), no. 1, 2547--2612
The primal problem of multinomial likelihood maximization restricted to a convex closed subset of the probability simplex is studied. Contrary to widely held belief, a solution of this problem may assign a positive mass to an outcome with zero count.
Externí odkaz:
http://arxiv.org/abs/1408.5621
Autor:
Špitalský, Vladimír
By a result of Blokh from 1984, every transitive map of a tree has the relative specification property, and so it has finite decomposition ideal, positive entropy and dense periodic points. In this paper we construct a transitive dendrite map with in
Externí odkaz:
http://arxiv.org/abs/1401.2343