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001 978-3-642-19659-1
003 DE-He213
005 20140220083757.0
007 cr nn 008mamaa
008 110527s2011 gw | s |||| 0|eng d
020 _a9783642196591
_9978-3-642-19659-1
024 7 _a10.1007/978-3-642-19659-1
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aAlbeverio, Sergio.
_eauthor.
245 1 0 _aHyperfinite Dirichlet Forms and Stochastic Processes
_h[electronic resource] /
_cby Sergio Albeverio, Ruzong Fan, Frederik Herzberg.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXIV, 284 p. 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes of the Unione Matematica Italiana,
_x1862-9113 ;
_v10
520 _aThis monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "nonstandard analysis." Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite- and infinite-dimensional spaces.   The present monograph provides a thorough treatment of the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.
650 0 _aMathematics.
650 0 _aLogic, Symbolic and mathematical.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aProbability Theory and Stochastic Processes.
700 1 _aFan, Ruzong.
_eauthor.
700 1 _aHerzberg, Frederik.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642196584
830 0 _aLecture Notes of the Unione Matematica Italiana,
_x1862-9113 ;
_v10
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-19659-1
912 _aZDB-2-SMA
999 _c107607
_d107607