LEADER 09555nam 22008413 450 001 9910972371203321 005 20250221120148.0 010 $a9781470467166 010 $a147046716X 035 $a(PPN)282830677 035 $a(CKB)4940000000616295 035 $a(MiAaPQ)EBC6798069 035 $a(Au-PeEL)EBL6798069 035 $a(RPAM)21992746 035 $a(OCoLC)1284289962 035 $a(EXLCZ)994940000000616295 100 $a20211214d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStochastic Processes and Functional Analysis $eNew Perspectives 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2021. 210 4$d©2021. 215 $a1 online resource (286 pages) 225 1 $aContemporary Mathematics ;$vv.774 300 $a"AMS Special Session on Celebrating M.M. Rao's Many Mathematical Contributions as he Turns 90 Years Old November 9-10, 2019 University of California Riverside, California 311 08$a9781470459826 311 08$a1470459825 320 $aIncludes bibliographical references." 327 $aCover -- Title page -- Contents -- Preface -- Stochastic Equations -- Biography of M. M. Rao -- Published Writings of M. M. Rao -- Ph.D. Theses Completed Under the Direction of M.M. Rao -- Celebrating M.M. Rao's Many Mathematical Contributions -- Sufficient conditions for Lorenz ordering with common finite support -- 1. Introduction -- 2. The usual Lorenz order and the role of Robin Hood -- 3. Other partial orders defined on ?? -- 4. When and have common finite support -- 5. Robin Hood's role in the common finite support setting -- 6. Are the usual sufficient conditions for Lorenz ordering useful in the common finite support situation? -- 7. Discussion -- References -- Ergodicity and steady state analysis for interference queueing networks -- 1. Introduction and model -- 2. Main results -- 3. Proof of Theorem 2.1 and Corollary 2.2 -- 4. Proof of Theorem 2.3 -- Acknowledgments -- References -- How strong can the Parrondo effect be? II -- 1. Introduction -- 2. SLLN for random sequences of games -- 3. Stationary distribution of the random walk on the -cycle -- 4. Evaluation of rate of profit -- References -- Binary response models comparison using the -Chernoff divergence measure and exponential integral functions -- 1. Introduction -- 2. Exponential family of models -- 3. The -Chernoff divergence -- 4. First family of models -- 5. Exponential integral function and -Chernoff divergence -- 6. Second family of models -- 7. Interpretations, explanations and applications -- References -- Nonlinear parabolic equations with Robin boundary conditions and Hardy-Leray type inequalities -- 1. Introduction -- 2. Main result -- 3. Improved Hardy type inequalities and applications -- 4. Applications -- 5. The one and two-dimensional cases -- References -- Banach space valued weak second order stochastic processes -- 1. Introduction. 327 $a2. The spaces ( ,?) and ( , *) -- 3. ( ,?)-valued measures -- 4. ( , *)-valued measures and bimeasures -- 5. ( ,?)-valued processes -- References -- Explicit transient probabilities of various Markov models -- 1. Introduction and summary -- 2. Matrix results -- 3. Strip probabilities and ballot box problems -- 4. Birth-death models with catastrophes -- 5. Odd tridiagonal matrices having constant main diagonal entries and alternating entries on the remaining diagonals -- 6. Circulant matrices -- Appendix A. Appendix -- Acknowledgments -- References -- On the use of Markovian stick-breaking priors -- 1. Introduction -- 2. Definition of the Markovian stick-breaking process -- 3. Results on moments, posterior distribution, and consistency -- 4. On use of the MSB( ) measure as a prior -- 5. Proof of Theorem 4 -- Acknowledgments -- References -- Eulerian polynomials and Quasi-Birth-Death processes with time-varying-periodic rates -- 1. Introduction -- 2. The approach -- 3. Single-server queue -- 4. Single-server priority queue with finite Buffer -- 5. Conclusion -- Acknowledgment -- References -- Random measure algebras -- 1. Introduction -- 2. Preliminaries -- 3. A convolution by covariance method -- 4. O-dot product and convolution of bimeasures -- 5. Convolution by strict Morse-Transue integral -- References -- From additive to second-order processes -- 1. Counting processes -- 2. Random measures -- 3. Harmonic analysis as a bridge -- 4. Stable processes -- 5. Second order processes -- References -- The exponential-dual matrix method: Applications to Markov chain analysis -- 1. Introduction -- 2. Uniformization -- 3. Stochastic duality -- 4. Transient analysis using uniformization and duality -- 5. Generalization of the stochastic-dual: The exponential-dual matrix -- 6. Conclusions -- References. 327 $aTwo moment closure techniques for an interacting species model -- 1. Introduction -- 2. A generalized interacting species model -- 3. Stochastic interacting species model -- 4. Moment closure using normal distribution -- 5. Moment closure using lognormal distribution -- 6. Conclusions -- References -- Back Cover. 330 $aThis volume contains the proceedings of the AMS Special Session on Celebrating M. M. Rao's Many Mathematical Contributions as he Turns 90 Years Old, held from November 9-10, 2019, at the University of California, Riverside, California.The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes and their applications. The volume also includes a biography of M. M. Rao and the list of his publications. 410 0$aContemporary Mathematics 517 $aStochastic Processes and Functional Analysis 606 $aStochastic processes$vCongresses 606 $aFunctional analysis$vCongresses 606 $aFunctional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} -- Research exposition (monographs, survey articles)$2msc 606 $aFunctional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} -- Proceedings, conferences, collections, etc.$2msc 606 $aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Research exposition (monographs, survey articles)$2msc 606 $aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Proceedings, conferences, collections, etc.$2msc 606 $aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Combinatorial probability -- Combinatorial probability$2msc 606 $aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Stochastic processes -- General theory of processes$2msc 606 $aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Markov processes -- Continuous-time Markov processes on discrete state$2msc 606 $aStatistics -- Research exposition (monographs, survey articles)$2msc 606 $aStatistics -- Inference from stochastic processes -- Spectral analysis$2msc 615 0$aStochastic processes 615 0$aFunctional analysis 615 7$aFunctional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} -- Research exposition (monographs, survey articles). 615 7$aFunctional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} -- Proceedings, conferences, collections, etc.. 615 7$aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Research exposition (monographs, survey articles). 615 7$aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Proceedings, conferences, collections, etc.. 615 7$aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Combinatorial probability -- Combinatorial probability. 615 7$aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Stochastic processes -- General theory of processes. 615 7$aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Markov processes -- Continuous-time Markov processes on discrete state 615 7$aStatistics -- Research exposition (monographs, survey articles). 615 7$aStatistics -- Inference from stochastic processes -- Spectral analysis. 676 $a519.2/3 676 $a519.23 686 $a46-02$a46-06$a60-02$a60-06$a60C05$a60G07$a60J27$a62-02$a62M15$2msc 700 $aSwift$b Randall J$0283842 701 $aKrinik$b Alan$01788190 701 $aSwitkes$b Jennifer M$01788191 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910972371203321 996 $aStochastic Processes and Functional Analysis$94322701 997 $aUNINA LEADER 05658nam 2200721 a 450 001 9910962893003321 005 20251116153203.0 010 $a9786610903467 010 $a9786611370220 010 0 $a9780191516108 010 0 $a0191516104 010 $a9781429469838 010 $a1429469838 010 $a9781281370228 010 $a1281370223 010 $a9780199289141 010 $a019928914X 035 $a(MiAaPQ)EBC7036867 035 $a(CKB)24235074500041 035 $a(MiAaPQ)EBC430472 035 $a(Au-PeEL)EBL430472 035 $a(CaPaEBR)ebr10271662 035 $a(CaONFJC)MIL137022 035 $a(OCoLC)609830011 035 $a(Au-PeEL)EBL7036867 035 $a(OCoLC)1294196453 035 $a(EXLCZ)9924235074500041 100 $a20060804d2006 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSelf-organization in the evolution of speech /$fPierre-Yves Oudeyer ; translated by James R. Hurford 205 $a1st ed. 210 $aOxford ;$aNew York $cOxford University Press$d2006 215 $axiv, 177 p. $cill 225 1 $aOxford linguistics 225 1 $aStudies in the evolution of language ;$v6 300 $aSeries title from jacket. 311 08$a9780199289141 311 08$a019928914X 320 $aIncludes bibliographical references (p. [155]-161) and index. 327 $aIntro -- Contents -- Preface -- List of Figures -- 1. The Self-Organization Revolution in Science -- 1.1 Self-organization: a new light on nature -- 1.2 Language origins -- 1.2.1 Interdisciplinarity -- 1.2.2 Computer modelling -- 2. The Human Speech Code -- 2.1 The instruments of speech -- 2.2 Articulatory phonology -- 2.3 The organization of the speech code: universals -- 2.3.1 The speech code is discrete and combinatorial -- 2.3.2 The speech code is a classification system shared by the whole linguistic community -- 2.3.3 Statistical regularities in the phoneme inventories of human languages -- 2.4 The diversity of speech codes -- 2.5 Origins, development, and form -- 3. Self-Organization and Evolution -- 3.1 Self-organization -- 3.1.1 Rayleigh-Bénard convection -- 3.1.2 Ferro-magnetization -- 3.2 Self-organization and natural selection -- 3.2.1 Classic neo-Darwinism -- 3.2.2 Self-organization: constraining the search space -- 3.2.3 Evolutionary explanations: function is not enough -- 3.2.4 Exaptation -- 3.3 Explaining the origin of living forms -- 4. Existing Theories -- 4.1 The reductionist approach -- 4.2 The functionalist approach -- 4.3 Operational scenarios -- 4.4 Going further -- 5. Artificial Systems as Research Tools -- 5.1 What is the scientific logic? -- 5.2 What is the point of constructing artificial systems? -- 6. The Artificial System -- 6.1 Mechanism -- 6.1.1 Assumption 1: neural units -- 6.1.2 Assumption 2: perceptuo-motor correspondences -- 6.1.3 Assumption 3: perception and plasticity -- 6.1.4 Assumption 4: production -- 6.1.5 Assumption 5: initial distribution of preferred vectors -- 6.1.6 Assumption 6: no coordinated interactions -- 6.1.7 What is not assumed -- 6.2 Dynamics -- 6.2.1 The case of uniform initial distribution -- 6.2.2 The case where the initial distribution is non-uniform. 327 $a6.3 Categorization and acoustic illusions -- 7. Learning Perceptuo-motor Correspondences -- 7.1 The articulatory synthesizer and a model of vowel perception -- 7.2 Dynamics: predicting human vowel systems -- 8. Strong Combinatoriality and Phonotactics -- 8.1 Temporal neurons and their self-organized death -- 8.2 The dynamic formation of phonotactics and patterns of combinations -- 8.3 The impact of articulatory and energetic constraints -- 9. New Scenarios -- 9.1 Compatibility with neuroscience -- 9.2 Contribution to scenarios of the origins of speech -- 9.2.1 An adaptationist scenario: an origin linked to the evolutionary advantage of linguistic communication systems -- 9.2.2 Another adaptationist scenario, with the exaptation of discreteness, shared categorization, and combinatoriality -- 9.2.3 An exaptationist scenario in which the origin of the whole speech system results from architectural side effects -- 10. Constructing for Understanding -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z. 330 $aPierre-Yves Oudeyer combines insights from neuroscience, evolutionary biology, and linguistics to explore questions about the origins of speech. He puts forward the startling proposal that speech can be spontaneously generated by the coupling of evolutionarily simple neural structures connecting perception and production. He tests this hypothesis through a computational system and shows that the linking of auditory and vocal motor neural nets produces syntactic rulesthat exhibit the fundamental properties of modern human speech systems. This fascinating account will interest all those interested in the evolution of speech. 410 0$aOxford linguistics. 410 0$aStudies in the evolution of language ;$v6. 606 $aLanguage and languages$xOrigin 606 $aSpeech 606 $aSelf-organizing systems 615 0$aLanguage and languages$xOrigin. 615 0$aSpeech. 615 0$aSelf-organizing systems. 676 $a401.9 700 $aOudeyer$b Pierre-Yves$01123679 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962893003321 996 $aSelf-Organization in the Evolution of Speech$92899949 997 $aUNINA