Zobrazeno 1 - 10
of 150
pro vyhledávání: '"McGoff P"'
Autor:
Bland, Robert, McGoff, Kevin
Given a countable group $G$ and two subshifts $X$ and $Y$ over $G$, a continuous, shift-commuting map $\phi : X \to Y$ is called a homomorphism. Our main result states that if every finitely generated subgroup of $G$ has polynomial growth, $X$ is ape
Externí odkaz:
http://arxiv.org/abs/2410.18795
Synchronized behavior among individuals is a ubiquitous feature of populations. Understanding mechanisms of (de)synchronization demands meaningful, interpretable, computable quantifications of synchrony, relevant to measurements that can be made of d
Externí odkaz:
http://arxiv.org/abs/2406.15987
In this work we study the entropies of subsystems of shifts of finite type (SFTs) and sofic shifts on countable amenable groups. We prove that for any countable amenable group $G$, if $X$ is a $G$-SFT with positive topological entropy $h(X) > 0$, the
Externí odkaz:
http://arxiv.org/abs/2201.01991
Autor:
Kelly, James P., McGoff, Kevin
We study Markov multi-maps of the interval from the point of view of topological dynamics. Specifically, we investigate whether they have various properties, including topological transitivity, topological mixing, dense periodic points, and specifica
Externí odkaz:
http://arxiv.org/abs/2109.07585
We study optimal transport for stationary stochastic processes taking values in finite spaces. In order to reflect the stationarity of the underlying processes, we restrict attention to stationary couplings, also known as joinings. The resulting opti
Externí odkaz:
http://arxiv.org/abs/2107.11858
We describe and study a transport based procedure called NetOTC (network optimal transition coupling) for the comparison and alignment of two networks. The networks of interest may be directed or undirected, weighted or unweighted, and may have disti
Externí odkaz:
http://arxiv.org/abs/2106.07106
Publikováno v:
Involve 14 (2021) 631-682
We consider the problem of shotgun identification of patterns on groups, which extends previous work on shotgun identification of DNA sequences and labeled graphs. A shotgun identification problem on a group $G$ is specified by two finite subsets $C
Externí odkaz:
http://arxiv.org/abs/2009.02255
We study the optimal transport problem for pairs of stationary finite-state Markov chains, with an emphasis on the computation of optimal transition couplings. Transition couplings are a constrained family of transport plans that capture the dynamics
Externí odkaz:
http://arxiv.org/abs/2006.07998
Autor:
McGoff, Kevin, Pavlov, Ronnie
We consider topological dynamical systems $(X,T)$, where $X$ is a compact metrizable space and $T$ denotes an action of a countable amenable group $G$ on $X$ by homeomorphisms. For two such systems $(X,T)$ and $(Y,S)$ and a factor map $\pi : X \right
Externí odkaz:
http://arxiv.org/abs/2005.05198
Autor:
Kelly, James P., McGoff, Kevin
We consider a class $\mathcal{F}$ of Markov multi-maps on the unit interval. Any multi-map gives rise to a space of trajectories, which is a closed, shift-invariant subset of $[0,1]^{\mathbb{Z}_+}$. For a multi-map in $\mathcal{F}$, we show that the
Externí odkaz:
http://arxiv.org/abs/1910.00568