000 03858nam a22005295i 4500
999 _c11654
_d11654
001 978-3-319-56922-2
003 DE-He213
005 20211207113001.0
008 170428s2017 gw | s |||| 0|eng d
020 _a9783319569222
040 _cAIKTC-KRRC
041 _aENG
072 7 _aGPFC
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aGPFC
_2thema
082 0 4 _a620
_223
100 1 _aKlyatskin, Valery I.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFundamentals of Stochastic Nature Sciences
_h[electronic resource] /
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXII, 190 p. 62 illus., 11 illus. in color.
_bCard Paper
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUnderstanding Complex Systems,
_x1860-0832
520 _aThis book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric excitation of positive random fields f(r,t) described by partial differential equations. Further, the book considers two examples of stochastic structure formation in dynamic systems with parametric excitation in the presence of Gaussian pumping. In dynamic systems with parametric excitation in space and time, this type of structure formation either happens – or doesn’t! However, if it occurs in space, then this almost always happens (exponentially quickly) in individual realizations with a unit probability. In the case considered, clustering of the field f(r,t) of any nature is a general feature of dynamic fields, and one may claim that structure formation is the Law of Nature for arbitrary random fields of such type. The study clarifies the conditions under which such structure formation takes place. To make the content more accessible, these conditions are described at a comparatively elementary mathematical level by employing ideas from statistical topography.
650 0 _aCivil Engineering
_94621
653 _aGeotechnical engineering.
653 _aComplex Systems.
653 _aGeotechnical Engineering & Applied Earth Sciences.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319569215
776 0 8 _iPrinted edition:
_z9783319569239
776 0 8 _iPrinted edition:
_z9783319860367
830 0 _aUnderstanding Complex Systems,
_x1860-0832
856 4 0 _uhttps://doi.org/10.1007/978-3-319-56922-2
_zClick here to access eBook in Springer Nature platform. (Within Campus only.)
942 _cEBOOKS
_2ddc