000			04590nam a22005295i 4500
001			978-0-8176-4944-9
003			DE-He213
005			20251006084439.0
007			cr nn 008mamaa
008			111114s2012 xxu| s |||| 0|eng d
020			_a9780817649449
020			_a99780817649449
024	7		_a10.1007/978-0-8176-4944-9 _2doi
082	0	4	_a519 _223
100	1		_aChirikjian, Gregory S. _eauthor.
245	1	0	_aStochastic Models, Information Theory, and Lie Groups, Volume 2 _h[electronic resource] : _bAnalytic Methods and Modern Applications / _cby Gregory S. Chirikjian.
264		1	_aBoston : _bBirkhäuser Boston, _c2012.
300			_aXXVII, 435p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied and Numerical Harmonic Analysis
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.
650		0	_aMATHEMATICS.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650		0	_aDISTRIBUTION (PROBABILITY THEORY).
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aENGINEERING MATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aPROBABILITY THEORY AND STOCHASTIC PROCESSES.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817649432
830		0	_aApplied and Numerical Harmonic Analysis
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4944-9 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59828 _d59828