LEADER 03016nam 2200565 a 450 001 9910438146603321 005 20200520144314.0 010 $a1-283-90945-6 010 $a1-4614-5972-9 024 7 $a10.1007/978-1-4614-5972-9 035 $a(CKB)2670000000278627 035 $a(EBL)1082049 035 $a(OCoLC)820026039 035 $a(SSID)ssj0000798811 035 $a(PQKBManifestationID)11427936 035 $a(PQKBTitleCode)TC0000798811 035 $a(PQKBWorkID)10743609 035 $a(PQKB)10473436 035 $a(DE-He213)978-1-4614-5972-9 035 $a(MiAaPQ)EBC1082049 035 $a(PPN)168304376 035 $a(EXLCZ)992670000000278627 100 $a20121127d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntersections of random walks /$fGregory F. Lawler 205 $a1st ed. 2013. 210 $aNew York $cBirkhauser$d2013 215 $a1 online resource (225 p.) 225 0$aModern Birkhauser classics 300 $a"Reprint of the 1996 edition." 311 $a1-4614-5971-0 320 $aIncludes bibliographical references and index. 327 $aSimple Random Walk -- Harmonic Measure -- Intersection Probabilities -- Four Dimensions -- Two and Three Dimensions.- Self-Avoiding Walks.- Loop-Erased walk -- Recent Results. 330 $aA central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally published in 1991, Intersections of Random Walks focuses on and explores a number of problems dealing primarily with the nonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics include: discrete harmonic measure, including an introduction to diffusion limited aggregation (DLA); the probability that independent random walks do not intersect; and properties of walks without self-intersections. The present softcover reprint includes corrections and addenda from the 1996 printing, and  makes this classic monograph available to a wider audience. With a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probability and statistical physics and to graduate students interested in basic properties of random walks. 410 0$aModern Birkhäuser Classics,$x2197-1803 606 $aRandom walks (Mathematics) 615 0$aRandom walks (Mathematics) 676 $a519.282 700 $aLawler$b Gregory F$059466 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438146603321 996 $aIntersections of random walks$9382792 997 $aUNINA