Algorithmic Complexity for the Realization of an Effective Subshift By a Sofic

Realization of d-dimensional effective subshifts as projective sub-actions of d + d\u27-dimensional sofic subshifts for d\u27 >= 1 is now well known [Hochman, 2009; Durand/Romashchenko/Shen, 2012; Aubrun/Sablik, 2013]. In this paper we are interested in qualitative aspects of this realization. We introduce a new topological conjugacy invariant for effective subshifts, the speed of convergence, in view to exhibit algorithmic properties of these subshifts in contrast to the usual framework that focuses on undecidable properties

Countable state Markov shifts with automorphism groups being a direct sum

In this short note we prove the existence of a class of transitive, locally compact, countable state Markov shifts whose automorphism groups split into a direct sum of two groups; one being the infinite cyclic group generated by the shift map, the other being a countably infinite, centerless group $H$, which contains all automorphisms that act on the orbit-complement of certain finite sets of symbols like the identity. Such a decomposition is well known from the automorphism groups of coded systems, in which case one can explicitly construct example subshifts with \aut(\sigma)=\seq{\sigma}\oplus H to a variety of abstract groups $H$. A similar result for shifts of finite type (SFTs) is yet only established for full $p$-shifts ($p$ prime), where $H$ equals the set of inert automorphisms. For general SFTs no direct sum representation is known so far. Thus our result may help to distinguish between the countable automorphism groups of SFTs and those of countable state Markov shifts

Convective Heat Transfer in Nanofluids

In recent years, the study of fluid flow with nanoparticles in base fluids has attracted the attention of several researchers due to its various applications to science and engineering problems. Recent investigations on convective heat transfer in nanofluids indicate that the suspended nanoparticles markedly change the transport properties and thereby the heat transfer characteristics. Convection in saturated porous media with nanofluids is also an area of growing interest. In this thesis, we study the effects of radiation on the heat and mass transfer characteristics of nanofluid flows over solid surfaces. In Chapter 2, an investigation is made into the effects of radiation on mixed convection over a wedge embedded in a saturated porous medium with nanofluids, while in Chapter 3 results are presented for the effects of radiation on convection heat transfer about a cone embedded in a saturated porous medium with nanofluids. The resulting governing equations are non-dimensionalized and transformed into a non-similar form and then solved by Keller box method. A comparison is made with the available results in the literature, and the results are found to be in very good agreement. The numerical results for the velocity, temperature, volume fraction, the local Nusselt number and the Sherwood number are presented graphically. The salient features of the results are analyzed and discussed for several sets of values of the pertinent parameters. Also, the effects of the Rosseland diffusion and the Brownian motion are discussed

The Persistence of Errors in Language Immersion

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The Online Teacher's Assistant : Using Automated Correction Programs to Supplement Learning and Lesson Planning

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Identification and Evaluation of Plagiarism amongst Japanese University Students

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PROJECTIONAL ENTROPY AND THE ELECTRICAL WIRE SHIFT

In this paper we present an extendible, block gluing Z3 shift of finite type Wel in which the topological entropy equals the L-projectional entropy for a two-dimensional sublattice L Z3, even so Wel is not a full Z extension of Wel L . In particular this example shows that Theorem 4.1 of [4] does not generalize to r-dimensional sublattices L for r > 1. Nevertheless we are able to reprove and extend the result about onedimensional sublattices for general Zd shifts – instead of shifts of finite type – under the same mixing assumption as in [4] and by posing a stronger mixing condition we also obtain the corresponding statement for higher-dimensional sublattices.The author was supported by FONDECYT project 308000

One-dimensional projective subdynamics of uniformly mixing Z(d) shifts of finite type

Artículo de publicación ISISin acceso a texto completoWe investigate under which circumstances the projective subdynamics of multidimensional shifts of finite type can be non-sofic. In particular, we give a sufficient condition ensuring the one-dimensional projective subdynamics of such Z(d) systems to be sofic and we show that this condition is already met (along certain, respectively all, sublattices) by most of the commonly used uniform mixing conditions. (Examples of the different situations are given.) Complementary to this we are able to prove a characterization of one-dimensional projective subdynamics for strongly irreducible Z(d) shifts of finite type for every d >= 2: in this setting the class of possible subdynamics coincides exactly with the class of mixing Z sofics. This stands in stark contrast to the much more diverse situation in merely topologically mixing multidimensional shifts of finite type.Basal project CMM, Universidad de Chile FONDE- CYT 1100719 Anillo ACT-110