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Relevant bibliographies by topics / Amenable action

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Academic literature on the topic 'Amenable action'

Author: Grafiati

Published: 15 December 2023

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Journal articles on the topic "Amenable action"

1

POPA, SORIN. "CLASSIFICATION OF ACTIONS OF DISCRETE AMENABLE GROUPS ON AMENABLE SUBFACTORS OF TYPE II." International Journal of Mathematics 21, no. 12 (2010): 1663–95. http://dx.doi.org/10.1142/s0129167x10006343.

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We prove a classification result for properly outer actions σ of discrete amenable groups G on strongly amenable subfactors of type II, N ⊂ M, a class of subfactors that were shown to be completely classified by their standard invariant [Formula: see text], in [27]. The result shows that the action σ is completely classified in terms of the action it induces on [Formula: see text]. As an application of this, we obtain that inclusions of type III λ factors, 0 < λ < 1, having discrete decomposition and strongly amenable graph, are completely classified by their standard invariant.

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BOWEN, LEWIS, and AMOS NEVO. "Pointwise ergodic theorems beyond amenable groups." Ergodic Theory and Dynamical Systems 33, no. 3 (2012): 777–820. http://dx.doi.org/10.1017/s0143385712000041.

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AbstractWe prove pointwise and maximal ergodic theorems for probability-measure-preserving (PMP) actions of any countable group, provided it admits an essentially free, weakly mixing amenable action of stable typeIII$_1$. We show that this class contains all irreducible lattices in connected semi-simple Lie groups without compact factors. We also establish similar results when the stable type isIII$_\lambda $,$0 \lt \lambda \lt 1$, under a suitable hypothesis. Our approach is based on the following two principles. First, we show that it is possible to generalize the ergodic theory of PMP actio

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BOWEN, LEWIS. "Sofic entropy and amenable groups." Ergodic Theory and Dynamical Systems 32, no. 2 (2011): 427–66. http://dx.doi.org/10.1017/s0143385711000253.

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AbstractIn previous work, the author introduced a measure-conjugacy invariant for sofic group actions called sofic entropy. Here, it is proven that the sofic entropy of an amenable group action equals its classical entropy. The proof uses a new measure-conjugacy invariant called upper-sofic entropy and a theorem of Rudolph and Weiss for the entropy of orbit-equivalent actions relative to the orbit changeσ-algebra.

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EXEL, RUY, and CHARLES STARLING. "Amenable actions of inverse semigroups." Ergodic Theory and Dynamical Systems 37, no. 2 (2015): 481–89. http://dx.doi.org/10.1017/etds.2015.60.

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We say that an action of a countable discrete inverse semigroup on a locally compact Hausdorff space is amenable if its groupoid of germs is amenable in the sense of Anantharaman-Delaroche and Renault. We then show that for a given inverse semigroup ${\mathcal{S}}$, the action of ${\mathcal{S}}$ on its spectrum is amenable if and only if every action of ${\mathcal{S}}$ is amenable.

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Downarowicz, Tomasz, Dawid Huczek, and Guohua Zhang. "Tilings of amenable groups." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 747 (2019): 277–98. http://dx.doi.org/10.1515/crelle-2016-0025.

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Abstract We prove that for any infinite countable amenable group G, any {\varepsilon>0} and any finite subset {K\subset G} , there exists a tiling (partition of G into finite “tiles” using only finitely many “shapes”), where all the tiles are {(K,\varepsilon)} -invariant. Moreover, our tiling has topological entropy zero (i.e., subexponential complexity of patterns). As an application, we construct a free action of G (in the sense that the mappings, associated to elements of G other than the unit, have no fixed points) on a zero-dimensional space, such that the topological entropy of this a

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MEYEROVITCH, TOM. "Pseudo-orbit tracing and algebraic actions of countable amenable groups." Ergodic Theory and Dynamical Systems 39, no. 9 (2018): 2570–91. http://dx.doi.org/10.1017/etds.2017.126.

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Consider a countable amenable group acting by homeomorphisms on a compact metrizable space. Chung and Li asked if expansiveness and positive entropy of the action imply existence of an off-diagonal asymptotic pair. For algebraic actions of polycyclic-by-finite groups, Chung and Li proved that they do. We provide examples showing that Chung and Li’s result is near-optimal in the sense that the conclusion fails for some non-algebraic action generated by a single homeomorphism, and for some algebraic actions of non-finitely generated abelian groups. On the other hand, we prove that every expansiv

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Kida, Yoshikata. "Inner amenable groups having no stable action." Geometriae Dedicata 173, no. 1 (2013): 185–92. http://dx.doi.org/10.1007/s10711-013-9936-0.

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Ren, Xiankun, and Wenxiang Sun. "Local Entropy, Metric Entropy and Topological Entropy for Countable Discrete Amenable Group Actions." International Journal of Bifurcation and Chaos 26, no. 07 (2016): 1650110. http://dx.doi.org/10.1142/s0218127416501108.

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Let [Formula: see text] be a compact metric space and [Formula: see text] a countable infinite discrete amenable group acting on [Formula: see text]. Like in the [Formula: see text]-action cases we define the notion of local entropy and by it we bound the difference between metric entropy and that of a partition, and bound the difference between topological entropy and that of a separated set, which generalize Theorems 1(1) and 1(2) in [Newhouse, 1989] from [Formula: see text]-actions to amenable group actions. We further prove that the entropy function [Formula: see text] is upper semi-contin

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Mycielski, Jan. "Non-amenable groups with amenable action and some paradoxical decompositions in the plane." Colloquium Mathematicum 75, no. 1 (1998): 149–57. http://dx.doi.org/10.4064/cm-75-1-149-157.

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DONG, Z., and Y. Y. WANG. "FIXED POINT CHARACTERISATION FOR EXACT AND AMENABLE ACTION." Bulletin of the Australian Mathematical Society 92, no. 2 (2015): 228–32. http://dx.doi.org/10.1017/s0004972715000520.

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Let $G$ be a finitely generated group acting on a compact Hausdorff space ${\mathcal{X}}$. We give a fixed point characterisation for the action being amenable. As a corollary, we obtain a fixed point characterisation for the exactness of $G$.

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Dissertations / Theses on the topic "Amenable action"

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Pennington, Allen. "Schreier Graphs of Thompson's Group T." Scholar Commons, 2017. http://scholarcommons.usf.edu/etd/6740.

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Thompson’s groups F, T, and V represent crucial examples of groups in geometric group theory that bridge it with other areas of mathematics such as logic, computer science, analysis, and geometry. One of the ways to study these groups is by understanding the geometric meaning of their actions. In this thesis we deal with Thompson’s group T that acts naturally on the unit circle S1, that is identified with the segment [0, 1] with the end points glued together. The main result of this work is the explicit construction of the Schreier graph of T with respect to the action on the orbit of 1/2. Thi

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Lécureux, Jean. "Automorphismes et compactifications d’immeubles : moyennabilité et action sur le bord." Thesis, Lyon 1, 2009. http://www.theses.fr/2009LYO10261/document.

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Cette thèse se propose d'étudier sous divers points de vue les groupes d'automorphismes d'immeubles. Un de ses objectifs est de mettre en valeur les différences autant que les analogies entre les immeubles affines et non affines. Pour appuyer cette dichotomie, on y démontre que les groupes d'automorphismes d'immeubles non affines n'ont jamais de paire de Gelfand, contrairement aux immeubles affines. Dans l'autre sens, pour souligner l'analogie entre immeubles affines et non affines, on définit une nouvelle notion de bord combinatoire d'un immeuble. Dans le cas des immeubles affines, ce bord s'

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Zhang, Qing. "Multiple recurrence and mixing properties for actions of amenable groups /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487759436328088.

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Epstein, Inessa. "Some results on orbit inequivalent actions of non-amenable groups." Diss., Restricted to subscribing institutions, 2008. http://proquest.umi.com/pqdweb?did=1579720841&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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ua, golodets@ilt kharkov. "The spectrum of Completely Positive Entropy Actions of Countable Amenable Groups." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1078.ps.

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Zarka, Benjamin. "La propriété de décroissance rapide hybride pour les groupes discrets." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4057.

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Un groupe finiment engendré G a la propriété RD lorsque l'algèbre de Sobolev du groupe H^s(G) s'injecte dans la C^*-algèbre réduite C^*_r(G). Cette inclusion permet de contrôler la norme de l'opérateur de convolution sur l^2(G) par des normes l^2 pondérées, et induit des isomorphismes en K-théorie. Il est connu que la présence de sous-groupes moyennables à croissance sur-polynomiale est une obstruction à cette propriété. Parallèlement à cela, on dispose toujours d'une inclusion canonique de l^1(G) dans C^*_r(G), mais cette estimation est en général moins fine que celle donnée par RD, et l'exis

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Sun, Michael. "The Tracial Rokhlin Property for Countable Discrete Amenable Group Actions on Nuclear Tracially Approximately Divisible C*-Algebras." Thesis, University of Oregon, 2014. http://hdl.handle.net/1794/18368.

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In this dissertation we explore the question of existence of a property of group actions on C*-algebras known as the tracial Rokhlin property. We prove existence of the property in a very general setting as well as specialise the question to specific situations of interest. For every countable discrete elementary amenable group G, we show that there always exists a G-action ω with the tracial Rokhlin property on any unital simple nuclear tracially approximately divisible C*-algebra A. For the ω we construct, we show that if A is unital simple and Z-stable with rational tracial rank at most

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Ben, Ahmed Ali. "Géométrie et dynamique des structures Hermite-Lorentz." Thesis, Lyon, École normale supérieure, 2013. http://www.theses.fr/2013ENSL0824.

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Dans la veine du programme d'Erlangen de Klein, travaux d'E. Cartan, M. Gromov, et d'autres, ce travail se trouve à cheval, entre la géométrie et les actions de groupes. Le thème global serait de comprendre les groupes d'isométries des variétés pseudo-riemanniennes. Plus précisément, suivant une "conjecture vague" de Gromov, classifier les variétés pseudo-riemanniennes dont le groupe d'isométries agit non-proprement, i.e. que son action ne préserve pas de métrique riemannienne auxiliaire?Plusieurs travaux ont été accomplis dans le cas des métriques lorentziennes (i.e. de signature (- +...+)).

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Hamouda, Hawa. "Modules maps and Invariant subsets of Banach modules of locally compact groups." 2013. http://hdl.handle.net/1993/17598.

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For a locally compact group G, the papers [13] and [7] have many results about G-invariant subsets of G-modules, and the relationship between G-module maps, L1(G)-module maps and M(G)-module maps. In both papers, the results were given for one specific module action. In this thesis we extended many of their results to arbitrary Banach G-modules. In addition, we give detailed proofs of most of the results found in the first section of the paper [21].

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Books on the topic "Amenable action"

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Ocneanu, Adrian. Actions of discrete amenable groups on von neumann algebras. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0098579.

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Actions of discrete amenable groups on von Neumann algebras. Springer-Verlag, 1985.

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Heath, Robert. Maxims and rules of pleading: In actions real, personal and mixt, popular and penal : describing the nature of declarations, pleas, replications, rejoynders, and all other parts of pleading : shewing their validity and defects, and in what cases they are amenable by the court, or remediable by the statute-law, or otherwise ... Printed for Abel Roper, 1992.

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Kammeyer, Janet Whalen, and Daniel J. Rudolph. Restricted Orbit Equivalence for Actions of Discrete Amenable Groups. Cambridge University Press, 2012.

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Kammeyer, Janet Whalen, and Daniel J. Rudolph. Restricted Orbit Equivalence for Actions of Discrete Amenable Groups. Cambridge University Press, 2010.

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Ocneanu, Adrian. Actions of Discrete Amenable Groups on von Neumann Algebras. Springer, 1985.

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Ocneanu, Adrian. Actions of Discrete Amenable Groups on Von Neumann Algebras. Springer London, Limited, 2006.

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Kammeyer, Janet Whalen, and Daniel J. Rudolph. Restricted Orbit Equivalence for Actions of Discrete Amenable Groups. Cambridge University Press, 2011.

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Mitchell, Bruce. Resource and Environmental Management. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190885816.001.0001.

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Change. Complexity. Uncertainty, Conflict, Ambiguity. Intractability. Wicked problems. Ethics, Integrity. All these terms capture much of what resource and environmental managers must address in determining the most appropriate course of action relative to social-ecological systems. Often, no obviously correct strategy or response is identifiable. Instead, options exist, each with strengths and weaknesses. Ultimately a decision must be taken, reflecting scientific and experiential understanding as well as values and priorities of societies and stakeholders. The intent in this book is to raise

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Furst, Eric M., and Todd M. Squires. Active microrheology. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.003.0007.

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Active microrheology uses external forces (most typically magnetic or optical) to force microrheological probes into motion. These techniques short-circuit the Einstein component of passive microrheology. Active microrheology provides an additional handle to probe material properties, and has been used both to extend the range of materials amenable to microrheological analysis, and to examine material properties that are inaccessible to passive microrheology. Three main topics are presented: the use of active microrheology to extend the range of passive microrheology, while maintaining many of

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Book chapters on the topic "Amenable action"

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Kerr, David, and Hanfeng Li. "Entropy for Actions of Amenable Groups." In Springer Monographs in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49847-8_9.

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Coornaert, Michel. "Mean Topological Dimension for Actions of Amenable Groups." In Universitext. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19794-4_10.

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Lodkin, A. A., and A. M. Vershik. "Approximation for actions of amenable groups and transversal automorphisms." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074893.

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Scocchi, Marco, Maura Mattiuzzo, Monica Benincasa, Nikolinka Antcheva, Alessandro Tossi, and Renato Gennaro. "Investigating the Mode of Action of Proline-Rich Antimicrobial Peptides Using a Genetic Approach: A Tool to Identify New Bacterial Targets Amenable to the Design of Novel Antibiotics." In Peptide-Based Drug Design. Humana Press, 2008. http://dx.doi.org/10.1007/978-1-59745-419-3_9.

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Félix, Yves, John Oprea, and Daniel Tanré. "G-spaces." In Algebraic Models in Geometry. Oxford University PressOxford, 2008. http://dx.doi.org/10.1093/oso/9780199206513.003.0007.

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Abstract The history of group actions is intimately tied up with the development of both algebraic topology and Lie group theory. In this chapter, we show how minimal models can be used to study compact Lie group actions on manifolds. We focus on certain aspects of group actions that are especially amenable to model techniques. Throughout the chapter, G will generally denote a Lie group acting on a compact manifold M . Certain properties of M will be apparent. For instance, when the action is free (i.e. no point in M is left fixed by any g G ), we have a principal G -bundle M M/G with the particular consequence that χ (M) 0.

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Vyse, Stuart. "Ridiculous Reason." In The Uses of Delusion. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780190079857.003.0001.

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This chapter outlines the popular methods of judging whether a belief is good or bad and whether an action is adequately grounded in sound logic. The chapter summarizes a debate between William Clifford and William James about whether it is ever justified to hold a belief without adequate evidence and describes a contemporary model of rational choice. Behavior based in delusion represents a deviation from rational choice, and in most cases delusions lead to ineffective or self-defeating behavior. But, in some important instances, delusional behavior can produce happier relationships, better adjustment to life’s challenges, and more effective action. Some delusions are impossible to reverse, even when the person knows they are illusions. But other delusions seem more malleable and amenable to change. In these cases, people may be aware of their delusions.

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Trowler, Paul. "The Practice Sensibility and the Challenges of Change." In Accomplishing Change in Teaching and Learning Regimes. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198851714.003.0007.

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Chapter 7 sets out synoptically the conceptual, analytical, and theoretical contribution of the book. Readers who want a concise summary of the theoretical position set out here can turn to the first few pages of this chapter. The contribution to research and for professional action is summarized, and some suggestions for research with a practice sensibility are offered. The chapter shows how the characteristics and functions of theory in general are specifically addressed in the approach taken here. It summarizes what this approach offers and outlines the areas that need supplementary theories and designs—those less amenable to the social practice approach.

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"The New Economic Role of American States." In The New Economic Role of American States, edited by R. Scott Fosler. Oxford University PressNew York, NY, 1991. http://dx.doi.org/10.1093/oso/9780195067774.003.0017.

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Abstract Viewed in a historical context, the recent state economic activism portrayed in these case studies is not a departure from American political traditions but very much in keeping with them. The states, as they have done in the past, are responding to practical pressures associated with changing economic circumstance. Their role is more salient now than in the previous half-century, because many contemporary economic challenges are more amenable to public action at the regional and local levels, and because for the moment, the federal government has willingly relinquished its leadership role in domestic policy.

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Price, Nicholas C., and Jacqueline Nairn. "Enzyme activity and mechanism." In Exploring proteins: a student’s guide to experimental skills and methods. Oxford University Press, 2009. http://dx.doi.org/10.1093/hesc/9780199205707.003.0012.

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This chapter illustrates some of the main approaches used to gain an understanding of the mechanism of enzyme action. A complete description of a mechanism involves both kinetic and structural aspects and hence it can be a long process to achieve this goal. The chapter focuses on the kinetic experiments as these are more amenable to routine laboratory investigations. It also looks at some of the structural approaches which can be used, such as the mapping of active sites and identification of amino acids involved in catalysis or binding. There are at least three good reasons why a study of enzyme kinetics is important. Firstly, it is observing the enzyme doing its job, i.e. actually catalysing a reaction. Secondly, it can provide very important information about the mechanism. Thirdly, it helps one to understand the physiological role of the enzyme in an organism.

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Dennett, Anne. "15. Introduction to judicial review." In Public Law Directions. Oxford University Press, 2019. http://dx.doi.org/10.1093/he/9780198807315.003.0015.

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This chapter looks at the purpose and constitutional significance of judicial review. Where public bodies overreach themselves by acting unlawfully, the judicial review process allows individuals to hold public bodies to account in the courts, ensuring that governmental and public powers are lawfully exercised. This maintains the rule of law by helping to protect the public from the arbitrary or unreasonable exercise of government power. Judicial review is therefore a powerful check and control by the courts on executive action, but it also raises issues of whether the process gives the judiciary too much power over the elected government. There are three preliminary or threshold issues that a claimant needs to satisfy when bringing a judicial review claim. To be amenable to judicial review, the claim must raise a public law matter; it must be justiciable; and the claimant must have standing (locus standi).

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Conference papers on the topic "Amenable action"

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Ghilardi, Silvio, Alessandro Gianola, Marco Montali, and Andrey Rivkin. "Safety Verification and Universal Invariants for Relational Action Bases." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/362.

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Modeling and verification of dynamic systems operating over a relational representation of states are increasingly investigated problems in AI, Business Process Management and Database Theory. To make these systems amenable to verification, the amount of information stored in each state needs to be bounded, or restrictions are imposed on the preconditions and effects of actions. We lift these restrictions by introducing the framework of Relational Action Bases (RABs), which generalizes existing frameworks and in which unbounded relational states are evolved through actions that can (1) quantif

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Edmondson, Bryce J., Landen A. Bowen, Clayton L. Grames, Spencer P. Magleby, Larry L. Howell, and Terri C. Bateman. "Oriceps: Origami-Inspired Forceps." In ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/smasis2013-3299.

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This paper presents the conceptualization and modeling of a compliant forceps design, which we have called Oriceps, as an example of origami-inspired design that has application in a variety of settings including robotic surgeries. Current robotic forceps often use traditional mechanisms with parts that are difficult to clean, wear quickly, and are challenging to fabricate due to their complexity and small size. The Oriceps design is based on the spherical kinematic configurations of several action origami models, and can be fabricated by cutting and folding flat material. This design concept

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MOON, S., and A. VALETTE. "NON-PROPERNESS OF AMENABLE ACTIONS ON GRAPHS WITH INFINITELY MANY ENDS." In Proceedings of a Conference in Honor of Akbar Rhemtulla. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708670_0020.

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Ruikar, Neha S., Chris A. Satkoski, and Greg Shaver. "Control Design Amenable Model of Needle Position for a Direct Acting Piezoelectric Fuel Injector." In ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASMEDC, 2011. http://dx.doi.org/10.1115/dscc2011-6049.

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Piezo electric injectors provide a means to lower emissions, noise and fuel consumption in advanced IC engines, by providing the capability to allow for tightly spaced injections and rate shaping. With a focus on generating a control design amenable model capturing the injector needle dynamics, the effort described here includes a model simplification and reduction strategy of an experimentally validated, physics-based 13 state model of a direct acting piezo electric injector. The resulting reduced order model for needle dynamics is validated for both single and multi pulse conditions.

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Thompson, Richard A. "Photonic Time-Multiplexed Permutation Switching using the Dilated Slipped Banyan Network." In Photonic Switching. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/phs.1991.we6.

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A new switching network architecture, called the Dilated Slipped Banyan Network(DSBN), is proposed for the hub of a photonic active-star Local Area Network (LAN). A lithium niobate implementation of a classical 4-by-4 banyan architecture was proposed[1]: for bit-interleaved time-multiplexing. The DSBN has properties, described herein, that make it more general in size and more amenable to lithium niobate implementation than the classical banyan. Furthermore, since the active-star LAN application could use a word-interleaved data format instead of a bit-interleaved format, the hub switch need n

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Kurdila, Andrew J., Yunfei Feng, and George A. Lesieutre. "Hybrid System Stability and Capacitive Shunting of Piezoelectric Stiffness." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1694.

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Abstract Recent research demonstrated that an actively-switched capacitive shunt circuit across a piezoceramic stiffness element can provide the basis for a frequency-tunable solid state vibration absorber. From a theoretical standpoint, the stability characteristics of such a design are amenable to conventional mechanical systems analysis when the shunt circuit operates in quasi-steady manner. However, when active tracking of a disturbance is desired to enhance broadband disturbance attenuation, the conditions for closed loop stability of the electromechanical system are not clear. In the pre

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Vashishth, Deepak, Winson George, Jennifer Smith, John B. Brunski, and Lee Ostrander. "Hands-on Approaches to Biomechanics Education in a Technologically Connected Classroom." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/bed-23022.

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Abstract In contrast to the traditional classroom environment that promotes passive learning, the multimedia-based studio approach is considered to be a more effective tool for delivering course content as it increases active in-class involvement, teamwork experience and cooperative learning (Wilson 1994). More significantly, the studio environment provides a plethora of opportunities to include case studies that promote hands-on experience and problem-solving, illustrate real-life problems and increase student interest in the course content (Starrett and Morcos 2001). In general, engineering

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Krishnan, Arjun S., Ravi Shankar, Tushar K. Ghosh, and Richard J. Spontak. "Nanostructured Triblock Copolymer Network With Tailorable Electroactive Response." In ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-529.

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In recent years, the use of electroactive polymers (EAPs), which are polymeric materials that respond to an external electrical stimulus by changing shape or size, has been the focus of considerable research effort. While most studies have considered chemically cross-linked homopolymers, only a few reports have addressed the use of physically cross-linked triblock copolymer systems. We have previously demonstrated that triblock copolymer networks swollen by a midblock-selective, nonvolatile solvent constitute excellent candidates as dielectric elastomers, one class of EAP materials. Due to the

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Hadley, G. Ronald. "Understanding leaky-mode arrays via 2-D coupled mode theory." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.maa5.

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Abstract:

The first insights into index-guided diode laser array behavior were provided by using the effective index method to solve for the modes of the individual waveguides and coupled-mode theory to describe how these mix to form the array modes. Although this procedure has been fruitful for the study of conventional arrays, new devices now being fabricated employ large index steps for defining the channels, and thus are not amenable to the effective index approximation. Even worse, the modes of these devices, when calculated numerically, are very complex. This fact, together with the enormous param

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Choquette, Kent D., R. P. Schneider, K. L. Lear, et al. "Robust and Wavelength Insensitive Performance of Selectively Oxidized Vertical-Cavity Lasers." In Semiconductor Lasers: Advanced Devices and Applications. Optica Publishing Group, 1995. http://dx.doi.org/10.1364/slada.1995.tud.7.

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Abstract:

The unique properties of vertical-cavity surface emitting lasers (VCSELs), such as circular output beam, single longitudinal mode, and 2-dimensional array capability, make them promising light sources for a variety of applications, including optical data links, data storage, display and printing systems. Moreover, on-wafer testing and compatibility with traditional integrated circuit fabrication technologies make VCSEL manufacture feasible and potentially inexpensive. Recently, VCSELs fabricated using "wet" oxidation1 have demonstrated the lowest threshold current (91µA),2 lowest threshold vol

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