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Contributions to the ergodic theory of semi-Markovian operations /Fong, Humphrey Sek-Ching January 1969 (has links)
No description available.
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Local ergodic theorems for N-parameter semigroups of contraction operators /Terrell, Thomas Richard,1945- January 1971 (has links)
No description available.
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Ergodisk litteratur och fabula / Ergodic Literature and FabulaGunnarsson, Kenth January 2016 (has links)
I detta arbete undersökts det huruvida ergodiska texter kan ge ett bättre stöd för att minnas en fabula av en text gentemot en traditionell text. Med två versioner av en text, en ergodisk och en traditionell, har deltagare fått ge ett återgivande av den version de tog del av. För att analysera deltagarnas återgivanden gjordes en lista av hållpunkter baserade på berättelsens fabula. Utifrån resultaten kom det fram att den ergodiska versionen var lättare att ta till sig, men på grund av det låga deltagarantalet ger detta inte ett representativt resultat. Vidare studier skulle kunna ge mer representativa resultat.
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Ergodic type theorems in operator AlgebrasSchwartz, Larisa 30 November 2006 (has links)
No abstract / Mathematical Sciences / (D. Phil. (Mathematics))
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A control theoretic perspective on learning in roboticsO'Flaherty, Rowland Wilde 27 May 2016 (has links)
For robotic systems to continue to move towards ubiquity, robots need to be more autonomous. More autonomy dictates that robots need to be able to make better decisions. Control theory and machine learning are fields of robotics that focus on the decision making process. However, each of these fields implements decision making at different levels of abstraction and at different time scales. Control theory defines low-level decisions at high rates, while machine learning defines high-level decision at low rates. The objective of this research is to integrate tools from both machine leaning and control theory to solve higher dimensional, complex problems, and to optimize the decision making process. Throughout this research, multiple algorithms were created that use concepts from both control theory and machine learning, which provide new tools for robots to make better decisions. One algorithm enables a robot to learn how to optimally explore an unknown space, and autonomously decide when to explore for new information or exploit its current information. Another algorithm enables a robot to learn how to locomote with complex dynamics. These algorithms are evaluated both in simulation and on real robots. The results and analysis of these experiments are presented, which demonstrate the utility of the algorithms introduced in this work. Additionally, a new notion of “learnability” is introduced to define and determine when a given dynamical system has the ability to gain knowledge to optimize a given objective function.
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Ergodic properties of ß-expansions. / Ergodic properties of beta-expansionsJanuary 2009 (has links)
Lam, Ho Yin Theodore. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 59-60). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 2 --- Shift spaces and Symbolic Dynamical systems --- p.8 / Chapter 2.1 --- Shift spaces --- p.8 / Chapter 2.2 --- Symbolic dynamical systems --- p.10 / Chapter 3 --- β-expansion --- p.12 / Chapter 3.1 --- Expansion of real numbers --- p.12 / Chapter 3.2 --- Ergodic theory of f-expansion with independent digits --- p.16 / Chapter 3.3 --- β-expansion --- p.22 / Chapter 3.3.1 --- Ergodic theory of β-expansion --- p.22 / Chapter 3.3.2 --- Properties of β-expansion --- p.28 / Chapter 3.3.3 --- The normalizing function F(β) --- p.34 / Chapter 4 --- Symbolic Dynamics of β-expansion --- p.40 / Chapter 4.1 --- The symbolic dynamical system Sβ --- p.40 / Chapter 4.2 --- Classification of β and properties of Sβ --- p.42 / Chapter 5 --- Sizes of the classes --- p.49 / Chapter 5.1 --- Sizes of C1 and C2 --- p.49 / Chapter 5.2 --- "Sizes of C3, C4 and C5" --- p.50 / Bibliography --- p.59
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Average co-ordinate entropy and a non-singular version of restricted orbit equivalenceMortiss, Genevieve Catherine, Mathematics, UNSW January 1997 (has links)
A notion of entropy is defined for the non-singular action of finite co-ordinate changes on X - the infinite product of two- point spaces. This quantity - average co-ordinate or AC entropy - is calculated for product measures and G-measures on X, and an equivalence relation is established for which AC entropy is an invariant. The Inverse Vitali Lemma is discussed in a measure preserving context, and it is shown that for a certain class of measures on X known as odometer bounded, the result will still hold for odometer actions. The foundations for a non-singular version of Rudolph's restricted orbit equivalence are established, and a size for non-singular orbit equivalence is introduced. It is shown that provided the Inverse Vitali Lemma still holds, the non-singular orbit equivalence classes can be described using this new size.
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Ergodicity of cocycles. 1: General TheoryVadim Kaimanovich, Klaus Schmidt, Klaus.Schmidt@univie.ac.at 18 September 2000 (has links)
No description available.
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On perspectives and ergodics: video games as literatureJackson, Jordan 16 September 2009
Video games are currently stigmatized in general culture as a lesser form of entertainment, and much of the current scholarly debate on them is unable to identify those games that also function as works of literature and to perform appropriate critical analysis. This thesis aims to rectify the above through two separate engagements. The first engagement demonstrates that the current scholarly debate over avatars can be redirected into a more productive debate on perspectives: the way in which a player is situated within a game and how this alters how the game story is told. The second engagement is with Espen Aarseths concept of ergodic literature, and thus demonstrate how this unique property of video games allows for the traversal of a video games narrative. These two issues when considered together provide a method for determining whether a video game is attempting to also be literature.
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On perspectives and ergodics: video games as literatureJackson, Jordan 16 September 2009 (has links)
Video games are currently stigmatized in general culture as a lesser form of entertainment, and much of the current scholarly debate on them is unable to identify those games that also function as works of literature and to perform appropriate critical analysis. This thesis aims to rectify the above through two separate engagements. The first engagement demonstrates that the current scholarly debate over avatars can be redirected into a more productive debate on perspectives: the way in which a player is situated within a game and how this alters how the game story is told. The second engagement is with Espen Aarseths concept of ergodic literature, and thus demonstrate how this unique property of video games allows for the traversal of a video games narrative. These two issues when considered together provide a method for determining whether a video game is attempting to also be literature.
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