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pro vyhledávání: '"Akin, Ethan"'
We give a complete invariant for shift equivalence for Boolean matrices (equivalently finite relations), in terms of the period, the induced partial order on recurrent components, and the cohomology class of the relation on those components.
Externí odkaz:
http://arxiv.org/abs/2405.16243
Autor:
Akin, Ethan, Davis, Morton
With $P_t$ the price in current dollars of a dollar delivered $t$ time units from now, we assume that $P$ is a decreasing function defined for $t \in \mathbb{R}_+$ with $P_0 = 1$. The negative logarithmic derivative, $- \stackrel{\bullet}{P}_t/P_t$ d
Externí odkaz:
http://arxiv.org/abs/2403.13531
Autor:
Akin, Ethan
The dynamics by iteration of a function on a compact metric space, sometimes called a cascade, can be extended to the dynamics of a closed relation on such a space. Here we apply this relation dynamics to study semiflows (and their relation extension
Externí odkaz:
http://arxiv.org/abs/2307.03815
Autor:
Akin, Ethan
A directed graph $R^{\circ}$ on a set $X$ is a set of ordered pairs of distinct points called \emph{arcs}. It is a tournament when every pair of distinct points is connected by an arc in one direction or the other (and not both). We can describe a to
Externí odkaz:
http://arxiv.org/abs/2304.00055
Autor:
Akin, Ethan, Hrbacek, Karel
We describe those complete linearly ordered topological spaces $X$ which are homogeneous (=CHLOTS). That is, $X$ is order isomorphic with any nonempty open interval in $X$. Using countable tail-like ordinals as indices, we build towers of distinct CH
Externí odkaz:
http://arxiv.org/abs/2107.13299
We provide a simple description of asymptotic pairs in the subshift associated with an interval exchange transformation and show that, under reasonably general conditions, doubly asymptotic pairs do not occur.
Externí odkaz:
http://arxiv.org/abs/2009.02592
Autor:
Akin, Ethan
Publikováno v:
Conjugacy in the Cantor set automorphism group, in Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby, 2016, Contemporary Mathematics, vol. 678, Amer. Math. Soc., Providence, RI, 2016: 1-42
We survey, and extend, results on the adjoint action of the homeomorphism group $H(X)$ on the space of surjective continuous maps, $C_s(X)$, where $X$ is a Cantor set. We look also at the restriction of the action to various dynamically defined subse
Externí odkaz:
http://arxiv.org/abs/1907.12098