Zobrazeno 1 - 10
of 503
pro vyhledávání: '"Petersen, Karl"'
To study any dynamical system it is useful to find a partition that allows essentially faithful encoding (injective, up to a small exceptional set) into a subshift. Most topological and measure-theoretic systems can be represented by Bratteli-Vershik
Externí odkaz:
http://arxiv.org/abs/2409.00762
Autor:
Petersen, Karl, Salama, Ibrahim
We consider labelings of a finite regular tree by a finite alphabet subject to restrictions specified by a nonnegative transition matrix, propose an algorithm for determining whether the set of possible configurations on the last row of the tree is i
Externí odkaz:
http://arxiv.org/abs/2406.13033
Autor:
Berthé, Valérie, Goulet-Ouellet, Herman, Nyberg-Brodda, Carl-Fredrik, Perrin, Dominique, Petersen, Karl
The density of a rational language can be understood as the frequency of some "pattern" in the shift space, for example a pattern like "words with an even number of a given letter." We study the density of group languages, i.e. rational languages rec
Externí odkaz:
http://arxiv.org/abs/2403.17892
Autor:
Petersen, Karl, Shields, Sandi
We study simple, properly ordered nonexpansive Bratteli-Vershik ($BV$) systems. Correcting a mistake in an earlier paper, we redefine the classes standard nonexpansive ($SNE$) and strong standard nonexpansive ($SSNE$). We define also the classes of v
Externí odkaz:
http://arxiv.org/abs/2111.05771
Autor:
Petersen, Karl, Salama, Ibrahim
The vertices of the Cayley graph of a finitely generated semigroup form a set of sites which can be labeled by elements of a finite alphabet in a manner governed by a nonnegative real interaction matrix, respecting nearest neighbor adjacency restrict
Externí odkaz:
http://arxiv.org/abs/2106.16246
Autor:
Petersen, Karl, Salama, Ibrahim
We show that the limit in our definition of tree shift topological entropy is actually the infimum, as is the case for both the topological and measure-theoretic entropies in the classical situation when the time parameter is $\mathbb Z$. As a conseq
Externí odkaz:
http://arxiv.org/abs/1909.05153