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020 _a9783540315377
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024 7 _a10.1007/b136622
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
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072 7 _aMAT029000
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072 7 _aPBT
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072 7 _aPBWL
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082 0 4 _a519.2
_223
245 1 0 _aLectures on Probability Theory and Statistics
_h[electronic resource] :
_bEcole d'Eté de Probabilités de Saint-Flour XXXIII - 2003 /
_cedited by Jean Picard.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2005.
300 _aVIII, 286 p. 40 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v1869
520 _aThis volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo’s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki’s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.
650 0 _aDistribution (Probability theory.
650 0 _aMathematics.
650 0 _aPotential theory (Mathematics).
650 0 _aStatistics.
650 0 _aDifferential equations, partial.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aMeasure and Integration.
_0http://scigraph.springernature.com/things/product-market-codes/M12120
650 2 4 _aPotential Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12163
650 2 4 _aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/S17020
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
700 1 _aPicard, Jean.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540811145
776 0 8 _iPrinted edition:
_z9783540260691
830 0 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v1869
856 4 0 _uhttps://doi.org/10.1007/b136622
912 _aZDB-2-SMA
912 _aZDB-2-LNM
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