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001 280705
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008 150903s2012 xxu| o |||| 0|eng d
020 _a9780817649449
_99780817649449
024 7 _a10.1007/9780817649449
_2doi
035 _avtls000333681
039 9 _a201509030217
_bVLOAD
_c201404130513
_dVLOAD
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aT57-57.97
100 1 _aChirikjian, Gregory S.
_eautor
_9305828
245 1 0 _aStochastic Models, Information Theory, and Lie Groups, Volume 2 :
_bAnalytic Methods and Modern Applications /
_cby Gregory S. Chirikjian.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2012.
300 _axxvii, 435 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aApplied and Numerical Harmonic Analysis
500 _aSpringer eBooks
505 0 _aLie Groups I: Introduction and Examples -- Lie Groups II: Differential Geometric Properties -- Lie Groups III: Integration, Convolution, and Fourier Analysis -- Variational Calculus on Lie Groups -- Statistical Mechanics and Ergodic Theory -- Parts Entropy and the Principal Kinematic Formula -- Estimation and Multivariate Analysis in R^n -- Information, Communication, and Group Therapy -- Algebraic and Geometric Coding Theory -- Information Theory on Lie Groups -- Stochastic Processes on Lie Groups -- Locomotion and Perception as Communication over Principal Fiber Bundles; and A Survey of Additional Applications.
520 _aThe subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, and the probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statistical analysis, and error propagation on Lie groups. Key features and topics of  Volume 2: * The author reviews the concept of—and functions and integration on—Lie groups with many concrete examples. * Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes on Lie groups or geometric aspects of probability and statistics. * Specific application areas are explored, including biomolecular statistical mechanics and information-driven motion in robotics. * The concrete presentation style makes it easy for readers to obtain numerical solutions for their own problems; the emphasis is on how to calculate quantities rather than how to prove theorems. * Modern problems at the interface of mechanics, control theory, and communications are handled in a unified framework and multiple directions for future research are explored. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780817649432
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4944-9
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c280705
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