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2959 2968 113 4 ; S Krengel, U.: Ergodic Theorems. de Gruyter, Berlin (1985) ; [EN] Several questions about diagonal operators between Köthe echelon spaces are investigated: (1) The spectrum is characterized in terms of the Köthe matrices defining the spaces, (2) It is characterized when these operators are power bounded, mean ergodic or uniformly mean ergodic, and (3) A description of the topology in the space of diagonal operators induced by the strong topology on the space of all operators is given. This research was partially supported by MINECO Project MTM2016-76647-P and the grant PAID-01-16 of the Universitat Politècnica de València. Agathen, S., Bierstedt, K.D., Bonet, J.: Projective limits of weighted (LB)-spaces of continuous functions. Arch. Math. 92, 384–398 (2009) Albanese, A.A., Bonet, J., Ricker, W.J.: Mean ergodic operators in Fréchet spaces. Ann. Acad. Sci. Fenn. Math. 34(2), 401–436 (2009) Bennett, G.: Some elementary inequalities. Quart. J. Math. 38, 401–425 (1987) Bennett, G.: Factorizing the classical inequalities. Mem. Am. Math. Soc. (1996). https://doi.org/10.1090/memo/0576 Bierstedt, K.D.: An introduction to locally convex inductive limits, Functional analysis and its applications (Nice, 1986), 35–133, ICPAM Lecture Notes. World Sci. Publishing, Singapore (1988) Bierstedt, K.D., Bonet, J.: Some aspects of the modern theory of Fréchet spaces. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 97(2), 159–188 (2003) Bierstedt, K.D., Meise, R., Summers, W.H.: Köthe sets and Köthe sequence spaces, Functional Analysis, Holomorphy and Approximation Theory. North-Holland Math. Studies 71, 27–91 (1982) Bonet, J., Jordá, E., Rodríguez-Arenas, A.: Mean ergodic multiplication operators on weighted spaces of continuous functions. Mediterr. J. Math 15, 108 (2018) Crofts, G.: Concerning perfect Fréchet spaces and transformations. Math. Ann. 182, 67–76 (1969) Kellogg, C.N.: An extension of the Hausdorff–Young theorem. Michig. Math. J. 18, 121–127 (1971) Meise, R., Vogt, D.: Introduction to Functional ...

AbstractMorphodynamics is a general theory of stationay complex system, such as living systems, or mental and social systems it is based on the thermodynamics of physical systems and built on the same lines. By means of the ergodic hypothesis thermodynamics is known to connect the particle dynamics to the energence of order parameters in the equation of state. In the same way, morphodynamics connects order parameters to the emergence of higher level variables; through recurrent applications of the ergodic hypothesis, a hierarchy of equations of state is established which describes a series of successive levels of organization. The equation support a cogmitiveist interpretation that leads to general principles of evolution: the principles determine thespontaneous and irreversible complexification of systems living in their natural environment.

This essay aims to investigate two ergodic novels as a representation of literature after postmodernism. More specifically, it will address non-linear novels, extending beyond the boundaries of the text and becoming highly complex, as representative of a new phase, namely metamodernity. The examples taken into account are House of Leaves (2000) by Mark Z. Danielewski and S. Ship of Theseus (2013) by J.J. Abrams and D. Dorst.

In this paper, we consider a multidimensional ergodic diffusion with jumps driven by a Brownian motion and a Poisson random measure associated with a compound Poisson process, whose drift coefficient depends on an unknown parameter. Considering the process discretely observed at high frequency, we derive the local asymptotic normality (LAN) property. ; The first author was supported by KAKENHI grant 24340022 and a JST-CREST project Mathematical structure of complex financial products and infinite dimensional analysis. Second author acknowledges support from the European Union programme FP7-PEOPLE-2012-CIG under grant agreement 333938. Third author acknowledges support from JST-CREST project and the program Vietnam Overseas Scholarship Program (Project 322) and wishes to thank Université Paris 13 for the hospitality where a part of this work was done.

Throughout their history, even though their purpose and function have essentially remained unchanged, video games have repeatedly changed their essence, from pioneering technical endeavors, through arcade machines, to thoroughly complex modern video games. At a certain stage of their development, video games were very difficult to complete, with one of the main reasons being that for many years games were primarily played on coin-operated arcade machines, so it was in developers' interest for the games to be challenging. However, there is a crucial difference between difficult video games and video games that we call ergodic video games. The essential difference is that ergodic video games (or video games with ergodic elements) require players to adopt a non-trivial approach, i.e., additional effort, skill, and dedication, and since ergodicity drastically changes the difficulty level of the game, it also requires certain character traits from players, in terms of readiness to respond to frustration with persistence rather than giving up, which often borders on a specific type of masochism. Therefore, ergodic video games are colloquially called masocore games, which is a portmanteau of the words "masochism" and "hardcore". This paper aims to explore the causality between ergodic video games and the existence of masochistic character traits in players who play them, as well as how such games, by combining pain and frustration on one side with pleasure and a sense of accomplishment on the other side, provide a gaming experience that is almost impossible to experience by playing classic, non-ergodic video games.

Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- List of Figures and Illustrations -- Preface -- Acknowledgments -- 1 Ergodics and Ludology -- 1.1 Ergodics and Ludology -- 1.2 Making a Case for Interdisciplinarity -- 1.3 Discourse Analysis -- 1.4 Problems with Definitions -- 2 Interactive Play -- 2.1 Play Theory: A Summary for the Unfamiliar -- 2.2 Defining the Player -- 2.3 Interactivity -- 2.4 Evoking Human-Computer Interaction -- 3 Human-Computer Interaction -- 3.1 Game Literacy and Representation: Remediation, Immediacy, and Language -- 3.2 Ergodic Literature and Computer-Mediated Communication -- 3.3 Interview Data: Discourses of Fantasy vs. Reality -- 3.4 Personalized Concepts and Experiences of Play -- 4 New Literacies -- 4.1 Interactive Digital Games as Cultural Narrative and Imagination -- 4.2 Non-linear Storytelling and Narrative Elements of Interactivity -- 4.3 Interview Data: Experiences of Narrative -- 4.4 Divergent Pathways and Potentialities -- 4.5 Experiential Narrative Forms -- 5 Ideology and Self-Identification -- 5.1 Identity and Ideology: Discourse, Gender, and Character Connections -- 5.2 Immersion: Believability, Virtual Worlds, and the Uncanny Valley -- 5.3 Interview Data: Masculinities -- 5.4 Ergodic Ontogeny: Demonstrated in Discourse -- 5.5 Self-Identification and New Media Identity Construction -- 5.6 Role of the Player -- 6 Reflective Research -- 6.1 Layers of Meaning -- 6.2 Limited Identities for Unexpected Players -- 6.3 The Physical Effects of Interactive Play -- 6.4 Reflexivity -- 6.5 In Conclusion -- Index

In the present work we characterize full operators and show some properties for bounded below nonfull operators. Under the results developed for full operators, we afiirrmatively respond two questions formulated by Bravo and Feintuch about algebras generated by invertible operators. ; The author's research was partially supported by a "Misión Ciencia" Research Fellowship (Venezuelan Government) ; peerReviewed