000 | 03127nam a22005055i 4500 | ||
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001 | 978-3-642-28003-0 | ||
003 | DE-He213 | ||
005 | 20140220083310.0 | ||
007 | cr nn 008mamaa | ||
008 | 120301s2012 gw | s |||| 0|eng d | ||
020 |
_a9783642280030 _9978-3-642-28003-0 |
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024 | 7 |
_a10.1007/978-3-642-28003-0 _2doi |
|
050 | 4 | _aTJ212-225 | |
072 | 7 |
_aTJFM _2bicssc |
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072 | 7 |
_aTEC004000 _2bisacsh |
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082 | 0 | 4 |
_a629.8 _223 |
100 | 1 |
_aTouri, Behrouz. _eauthor. |
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245 | 1 | 0 |
_aProduct of Random Stochastic Matrices and Distributed Averaging _h[electronic resource] / _cby Behrouz Touri. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2012. |
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300 |
_aXIII, 142p. 12 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5053 |
|
505 | 0 | _aIntroduction -- Products of Stochastic Matrices and Averaging Dynamics -- Ergodicity of Random Chains -- Infinite Flow Stability -- Implications -- Absolute Infinite Flow Property -- Averaging Dynamics in General State Spaces -- Conclusion and Suggestions for Future Works -- Appendices. | |
520 | _aThe thesis deals with averaging dynamics in a multiagent networked system, which is a main mechanism for diffusing the information over such networks. It arises in a wide range of applications in engineered physical networks (such as mobile communication and sensor networks), as well as social and economic networks. The thesis provides in depth study of stability and other phenomena characterizing the limiting behavior of both deterministic and random averaging dynamics. By developing new concepts, and using the tools from dynamic system theory and non-negative matrix theory, several novel fundamental results are rigorously developed. These contribute significantly to our understanding of averaging dynamics as well as to non-negative random matrix theory. The exposition, although highly rigorous and technical, is elegant and insightful, and accompanied with numerous illustrative examples, which makes this thesis work easily accessible to those just entering this field and will also be much appreciated by experts in the field. | ||
650 | 0 | _aEngineering. | |
650 | 0 | _aComputer science. | |
650 | 0 | _aDistribution (Probability theory). | |
650 | 0 | _aMathematical statistics. | |
650 | 1 | 4 | _aEngineering. |
650 | 2 | 4 | _aControl. |
650 | 2 | 4 | _aStatistical Physics, Dynamical Systems and Complexity. |
650 | 2 | 4 | _aProbability Theory and Stochastic Processes. |
650 | 2 | 4 | _aProbability and Statistics in Computer Science. |
650 | 2 | 4 | _aStatistical Theory and Methods. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642280023 |
830 | 0 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5053 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-28003-0 |
912 | _aZDB-2-ENG | ||
999 |
_c102700 _d102700 |