LEADER 01699nam--2200385---4500 001 990000733280203316 005 20090226104246.0 035 $a0073328 035 $aUSA010073328 035 $a(ALEPH)000073328USA01 035 $a0073328 100 $a20011112d1987----km-y0ENGy0103----ba 101 $aita 102 $aIT 200 1 $aDisposizioni per la formazione del bilancio annuale e pluriennale dello Stato, Legge finanziaria 1987, Legge 22 dicembre 1986, n.910 e Bilancio di previsione dello Stato per l'anno finanziario 1987 e bilancio pluriennale per il triennio 1987-1989, Legge 22 dicembre 1986, n.911 210 $aRoma$cIstituto poligrafico e Zecca dell Stato$d1987 215 $a943 p.$d29 cm 300 $aIn testa al front.: Ministero del Tesoro, Ragioneria Generale dello Stato 410 $12001 606 $aBilancio statale$xLegislazione 606 $aBilancio statale preventivo$xLegislazione 676 $a353.00722 710 01$aITALIA$0423419 801 0$aIT$bsalbc$gISBD 912 $a990000733280203316 951 $a353.007 ITA 5 (IEP VI 156/1987)$b25628 EC$cIEP VI$d00199286 959 $aBK 969 $aECO 979 $aPATTY$b90$c20011112$lUSA01$h1442 979 $c20020403$lUSA01$h1721 979 $aPATRY$b90$c20040406$lUSA01$h1650 979 $aPATRY$b90$c20061017$lUSA01$h1724 979 $aRSIAV4$b90$c20090226$lUSA01$h1042 996 $aDisposizioni per la formazione del bilancio annuale e pluriennale dello Stato, Legge finanziaria 1987, Legge 22 dicembre 1986, n.910 e Bilancio di previsione dello Stato per l'anno finanziario 1987 e bilancio pluriennale per il triennio 1987-1989, Legge 22 dicembre 1986, n.911$9964040 997 $aUNISA LEADER 00843nam0 2200265 450 001 000011811 005 20190108155537.0 100 $a20080523d--------km-y0itay50------ba 101 0 $aita 102 $aIT 105 $ay-------001-y 200 1 $a<>governo regionale$easpetti funzionali$fFrancesco Teresi 210 $aMilano$cGiuffrè$d1974 215 $a245 p.$d26 cm 225 2 $aPubblicazioni a cura della Facoltà di giurisprudenza$v34 410 0$12001$aPubblicazioni a cura della Facoltà di giurisprudenza$v34 610 1 $aRegione - Amministrazione 676 $a342.09$v20$9Governo locale 676 $a352$v20 700 1$aTeresi,$bFrancesco$01790 801 0$aIT$bUNIPARTHENOPE$c20080523$gRICA$2UNIMARC 912 $a000011811 951 $a352/106$b20375$cNAVA4 996 $aGoverno regionale$9623671 997 $aUNIPARTHENOPE LEADER 04334nam 22007215 450 001 996205189203316 005 20200705055921.0 010 $a3-319-03152-X 024 7 $a10.1007/978-3-319-03152-1 035 $a(CKB)3710000000085765 035 $a(DE-He213)978-3-319-03152-1 035 $a(SSID)ssj0001187487 035 $a(PQKBManifestationID)11659237 035 $a(PQKBTitleCode)TC0001187487 035 $a(PQKBWorkID)11257517 035 $a(PQKB)10081926 035 $a(MiAaPQ)EBC3107053 035 $a(PPN)176107622 035 $a(EXLCZ)993710000000085765 100 $a20140124d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRandom Walks on Disordered Media and their Scaling Limits$b[electronic resource] $eÉcole d'Été de Probabilités de Saint-Flour XL - 2010 /$fby Takashi Kumagai 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (X, 147 p. 5 illus.) 225 1 $aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 ;$v2101 300 $aThese are notes from a series of eight lectures given at the Saint-Flour Probability Summer School, July 4-17, 2010 -- Page vii. 311 $a3-319-03151-1 320 $aIncludes bibliographical references (pages 135-143) and index. 327 $aIntroduction -- Weighted graphs and the associated Markov chains -- Heat kernel estimates ? General theory -- Heat kernel estimates using effective resistance -- Heat kernel estimates for random weighted graphs -- Alexander-Orbach conjecture holds when two-point functions behave nicely -- Further results for random walk on IIC -- Random conductance model. 330 $aIn these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory.   Recently, there has been significant progress on the theory of random walk on disordered media such as fractals and random media. Random walk on a percolation cluster (?the ant in the labyrinth?) is one of the typical examples. In 1986, H. Kesten showed the anomalous behavior of a random walk on a percolation cluster at critical probability. Partly motivated by this work, analysis and diffusion processes on fractals have been developed since the late eighties. As a result, various new methods have been produced to estimate heat kernels on disordered media. These developments are summarized in the notes. 410 0$aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 ;$v2101 606 $aProbabilities 606 $aMathematical physics 606 $aPotential theory (Mathematics) 606 $aDiscrete mathematics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163 606 $aDiscrete Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29000 608 $aCongressen (vorm)$2gtt 615 0$aProbabilities. 615 0$aMathematical physics. 615 0$aPotential theory (Mathematics). 615 0$aDiscrete mathematics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aMathematical Physics. 615 24$aPotential Theory. 615 24$aDiscrete Mathematics. 676 $a519.282 700 $aKumagai$b Takashi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0525017 712 12$aEcole d'e?te? de probabilite?s de Saint-Flour$d(40th :$f2010) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996205189203316 996 $aRandom walks on disordered media and their scaling limits$91392288 997 $aUNISA