Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich

• Record Nr.: UNINA9910812425703321
• Autore: Kaimanovich Vadim A.
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2005; ©2005
• ISBN: 1-4704-0421-4
• Descrizione fisica: 1 online resource (134 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 820
• Disciplina: 510 s; 515/.9
• Soggetti: Conformal mapping; Geometry, Hyperbolic; Measure theory; Differential topology; Complex manifolds; Hyperbolic spaces; Kleinian groups
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 173, number 820 (end of volume)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""; ""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse ; conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups""; ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography""

Inference and generalizability in applied linguistics : multiple perspectives / / edited by Micheline Chalhoub-Deville, Carol A. Chapelle, Patricia Duff

• Record Nr.: UNINA9910969362203321
• Pubbl/distr/stampa: Amsterdam ; ; Philadelphia, : J. Benjamins Pub. Co., c2006
• ISBN: 9786612155987; 9781282155985; 1282155989; 9789027293688; 9027293686
• Edizione: [1st ed.]
• Descrizione fisica: vi, 248 p. : ill
• Collana: Language learning and language teaching, , 1569-9471 ; ; v. 12
• Altri autori (Persone): Chalhoub-DevilleMicheline; ChapelleCarol; DuffPatricia
• Disciplina: 418.072
• Soggetti: Applied linguistics - Research; Inference; Reliability
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: Inference and Generalizability in Applied Linguistics -- Editorial page -- Title page -- LCC data -- Table of contents -- Drawing the line -- Dependability -- Generalizability -- Inferences -- Chapters in this ; volume -- Perspectives on inference and generalizability in applied linguistics -- Old and new thoughts on test score variability -- Introduction -- The roles of language testers -- Language testers as testers -- Language testers as researchers -- Summary and conclusion -- Acknowledgements -- References -- Validity and values -- Introduction -- Drawing generalizable inferences in language assessment -- Validating test score inferences -- Constructs and evidence as the basis for test score inferences -- Generalization as reliability -- Epistemology and research methodology in investigating the validity of test score inferences -- Values and consequences in language tests -- Notes -- References -- L2 vocabulary acquisition theory -- 1. The assessment basis for vocabulary theory -- 2. Inference in assessment -- Construct inference -- Theory inference -- Inference, dependability, and generalizability -- Construct definition as central -- 3. Progress for vocabulary acquisition research -- Probing construct definition -- Validation studies -- Salience of L2 vocabulary assessment -- 4. Conclusion -- Notes -- References -- Beyond generalizability -- Introduction -- Inference -- Generalizability in quantitative vs. qualitative research: Problematics and possibilities -- Inference and generalizability in qualitative research: Case study and ethnography -- Contextualization, complexity, and credibility -- Capturing participants' (or emic) perspectives to bolster credibility -- Enhancing generalizability: Representativeness or typicality of cases selected -- Analytic generalization -- Conclusion -- Notes -- References -- Verbal protocols.; What do verbal protocols represent? -- Some relevant research -- Implications -- Notes -- References -- Functional grammar -- Introduction -- The object and purpose of the research -- A research methodology for functional grammar -- Intuitional data -- Observational data -- Elicited data -- On the provisionality and partiality of linguistic inferences -- Optimal level of generalizability -- Conclusion -- References -- A conversation analytic perspective on the role of quantification and generalizability in second language acquisition -- Introduction -- The interactionist hypothesis: An overview -- A critique of mainstream work on SLA -- The domain problem -- The significance problem -- The denominator problem -- The numerator problem -- Conversation analysis: An emprical example -- Conclusion -- Notes -- Appendix 1: Transcription conventions -- References -- Discussion -- Generalizability -- Introduction -- What is the nature of ``generalizability''? -- Consistency of observations and reports -- Meaningfulness of interpretations -- Meaningfulness in quantitative research -- Meaningfulness in qualitative research -- Consequences of decisions or actions for stakeholders -- The researcher's responsibility for consequences -- Dimensions of applied linguistics research -- The observer/researcher -- The entity of interest: The ``construct'' -- The nature and role of context -- The observation and report -- The observer's interpretation of the observation -- Combining different perspectives and approaches in research -- Conclusion -- Notes -- References -- Generalizability -- Note -- References -- Negotiating methodological rich points in applied linguistics research -- Introduction -- Who researches whom in applied linguistics? -- What do we research? -- Where do we research? -- How do we collect, analyze, and interpret data? -- Why do we research?.; Final reflections -- Notes -- References -- Author index -- Subject index -- The series Language Learning &amp -- Language Teaching.
• Sommario/riassunto: Concepts such as dependability/generalization and inferences are dealt with implicitly or explicitly in any research undertaken in applied ; linguistics. This volume provides a well-balanced and cross-disciplinary perspective on how researchers conceptualize inferences about learner acquisition and performances as well as dependability and generalizability of findings. The book is a collection of chapters by prominent researchers in applied linguistics, working in diverse domains such as vocabulary, syntax, discourse analysis, SLA, and language testing. The goal of the book is to bring attention to these issues, which underpin much of applied linguistics research and to highlight what is considered good practice so as to buttress confidence in the research claims made. The book represents current thinking on fundamental research concepts in applied linguistics and can be used as a textbook in courses on research methodology in applied linguistics. The book is also an excellent source of in-depth analysis of research conceptualization for applied linguistics researchers and graduate students.