%PDF-1.5 % 4 0 obj << /S /GoTo /D (section.1) >> endobj 7 0 obj (Introduction) endobj 8 0 obj << /S /GoTo /D (subsection.1.1) >> endobj 11 0 obj (Background) endobj 12 0 obj << /S /GoTo /D (subsection.1.2) >> endobj 15 0 obj (The mean-field theory for SAW) endobj 16 0 obj << /S /GoTo /D (subsection.1.3) >> endobj 19 0 obj (The infrared bound) endobj 20 0 obj << /S /GoTo /D (subsection.1.4) >> endobj 23 0 obj (The lace expansion) endobj 24 0 obj << /S /GoTo /D (subsection.1.5) >> endobj 27 0 obj (The purposes of this survey) endobj 28 0 obj << /S /GoTo /D (section.2) >> endobj 31 0 obj (The models and the main result) endobj 32 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 35 0 obj (The body-centered cubic \(BCC\) lattice) endobj 36 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 39 0 obj (Self-avoiding walk) endobj 40 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 43 0 obj (Percolation) endobj 44 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 47 0 obj (The main result) endobj 48 0 obj << /S /GoTo /D (subsection.2.5) >> endobj 51 0 obj (Where and how to use the lace expansion) endobj 52 0 obj << /S /GoTo /D (subsection.2.6) >> endobj 55 0 obj (Organization) endobj 56 0 obj << /S /GoTo /D (section.3) >> endobj 59 0 obj (Continuity of the bootstrapping functions) endobj 60 0 obj << /S /GoTo /D (section.4) >> endobj 63 0 obj (Lace-expansion analysis for self-avoiding walk) endobj 64 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 67 0 obj (Derivation of the lace expansion) endobj 68 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 71 0 obj (Diagrammatic bounds on the expansion coefficients) endobj 72 0 obj << /S /GoTo /D (subsection.4.3) >> endobj 75 0 obj (Diagrammatic bounds on the bootstrapping functions) endobj 76 0 obj << /S /GoTo /D (subsection.4.4) >> endobj 79 0 obj (Bounds on diagrams in terms of random-walk quantities) endobj 80 0 obj << /S /GoTo /D (subsection.4.5) >> endobj 83 0 obj (Further discussion) endobj 84 0 obj << /S /GoTo /D (section.5) >> endobj 87 0 obj (Lace-expansion analysis for percolation) endobj 88 0 obj << /S /GoTo /D (subsection.5.1) >> endobj 91 0 obj (Derivation of the lace expansion) endobj 92 0 obj << /S /GoTo /D (subsection.5.2) >> endobj 95 0 obj (Diagrammatic bounds on the expansion coefficients) endobj 96 0 obj << /S /GoTo /D (subsubsection.5.2.1) >> endobj 99 0 obj (Bounds on \040and ) endobj 100 0 obj << /S /GoTo /D (subsubsection.5.2.2) >> endobj 103 0 obj (Bounds on \040and ) endobj 104 0 obj << /S /GoTo /D (subsubsection.5.2.3) >> endobj 107 0 obj (Bounds on \040and ) endobj 108 0 obj << /S /GoTo /D (subsubsection.5.2.4) >> endobj 111 0 obj (Bounds on \040and ) endobj 112 0 obj << /S /GoTo /D (subsection.5.3) >> endobj 115 0 obj (Diagrammatic bounds on the bootstrapping functions) endobj 116 0 obj << /S /GoTo /D (subsection.5.4) >> endobj 119 0 obj (Bounds on diagrams in terms of random-walk quantities) endobj 120 0 obj << /S /GoTo /D (subsection.5.5) >> endobj 123 0 obj (Further discussion) endobj 124 0 obj << /S /GoTo /D [125 0 R /Fit] >> endobj 129 0 obj << /Length 2516 /Filter /FlateDecode >> stream xڭXI۸БעLN{q;$/ n.2ϧ6R-!(WZt@/2?Oh]ĩ,R1t72K-W0 7ǯ7pk ?7JyXS<'xPk>AGEB~3Ԗ 7_W+_$iՋcB*W`pLl > ,~^g؏fz^}9s#Ƕiu~oMk~U[kƖxCuJ`e}y{; d*|@ d7jalꍹ(M+oM>f
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