%PDF-1.5 % 4 0 obj << /S /GoTo /D (section.1) >> endobj 7 0 obj (1. Introduction) endobj 8 0 obj << /S /GoTo /D (figure.1) >> endobj 11 0 obj (1.1. Maximum in a box and large deviations in infinite volume) endobj 12 0 obj << /S /GoTo /D (subsection.1.2) >> endobj 15 0 obj (1.2. Entropic repulsion in the presence of a floor) endobj 16 0 obj << /S /GoTo /D (subsection.1.3) >> endobj 19 0 obj (1.3. Generalizations to random surfaces with p-Hamiltonians) endobj 20 0 obj << /S /GoTo /D (subsection.1.4) >> endobj 23 0 obj (1.4. Ideas from the proofs for the DG) endobj 24 0 obj << /S /GoTo /D (subsection.1.5) >> endobj 27 0 obj (1.5. Open problems) endobj 28 0 obj << /S /GoTo /D (subsection.1.6) >> endobj 31 0 obj (1.6. Organization) endobj 32 0 obj << /S /GoTo /D (section.2) >> endobj 35 0 obj (2. Large deviations and Proof of Theorem 1) endobj 36 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 39 0 obj (2.1. Proof of Theorem 2.1, Eq. \(2.1\)) endobj 40 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 43 0 obj (2.2. Proof of Theorem 2.1, Eq. \(2.2\)) endobj 44 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 47 0 obj (2.3. Proof of Theorem 2.1, Eq. \(2.3\)) endobj 48 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 51 0 obj (2.4. Proof of Theorem 1) endobj 52 0 obj << /S /GoTo /D (section.3) >> endobj 55 0 obj (3. Entropic repulsion: Proofs of Theorems 2 and 3) endobj 56 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 59 0 obj (3.1. Tools for level line analysis in the DG model with and without a floor) endobj 60 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 63 0 obj (3.2. An upper bound on the probability that the DG surface is non-negative) endobj 64 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 67 0 obj (3.3. Two-point concentration for the surface height) endobj 68 0 obj << /S /GoTo /D (subsection.3.4) >> endobj 71 0 obj (3.4. Proof of Theorem 2) endobj 72 0 obj << /S /GoTo /D (section.4) >> endobj 75 0 obj (4. Extensions to other random surface models) endobj 76 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 79 0 obj (4.1. Between SOS and the Discrete Gaussian \(1
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> endobj 87 0 obj (4.3. Restricted SOS \(p=\)) endobj 88 0 obj << /S /GoTo /D (section*.3) >> endobj 91 0 obj (Acknowledgments) endobj 92 0 obj << /S /GoTo /D (section*.4) >> endobj 95 0 obj (References) endobj 96 0 obj << /S /GoTo /D [97 0 R /FitV] >> endobj 115 0 obj << /Length 4758 /Filter /FlateDecode >> stream xڽ[[wܸ~R'n$9-{ȞV2nq7lK}ؿU(*d's |U͂/^?\x+ebqqH53,b$Q|R6۷O^Ǯ4:{K.;g_;8ǯ|GׯD,c$.2eZ"GOJoߞ^bSFNoϾogoOo_H??&qB0GYj$5QiDhղۓN{bwcI|g!Xl7tM#&Yf,U~١i־:rutfNf[j_U[T'I.Ē%@xôL? N$)|D1S%+h[F}[9ؘڥR)%*se]evYvw^;V5)Qw[5 Y1809a":0aq,1jĄ>,yPl:͛a,,$DL&_hO\=9 {R ɞ H'R`M"f44/~t`A)ӱ9~.1HY3wAu,$XQ> A1%p=dOpitD,\|qE#xL&Yi{a .yVM .$kRR^9=\UeSɜ3L< IR8vY6 fVGvbwҔd;-ZrmdP1DЀ,k&2:Uָء,3331WkY7-5`]lnmGb{Nl5;=U<p?4`R;dIX)xQCoKtw(Y}G|T:17SQ=:ihrin76߀E,Kvۗ7'K#oN`q7ɿ?Y[\v&p&%*`K'rN#=,vɿ|!*Q ph ^/V'?5<X /Td\JDigA#!њ tl<,T"\1s/@Qó|胳L3 RN| yfQ0"Luo@g*2]lFZ hqQM Q~@UE rlɀ0bkGj_7 )a,',/B-,5UYFEYf]N-)=Ȯ>472&_]tNtb1m`]SBh@W۽eջ`c,.d@fďIꬻE',<;q