%PDF-1.4 % 5 0 obj << /S /GoTo /D (004section.1) >> endobj 8 0 obj (1. Introduction) endobj 9 0 obj << /S /GoTo /D (004subsection.2) >> endobj 12 0 obj (1.1. Preliminaries) endobj 13 0 obj << /S /GoTo /D (004subsection.3) >> endobj 16 0 obj (1.2. Statement of the main results) endobj 17 0 obj << /S /GoTo /D (004subsection.8) >> endobj 20 0 obj (1.3. General strategy) endobj 21 0 obj << /S /GoTo /D (004subsection.10) >> endobj 24 0 obj (1.4. Integral representations) endobj 25 0 obj << /S /GoTo /D (004subsection.12) >> endobj 28 0 obj (1.5. Connection to existing work) endobj 29 0 obj << /S /GoTo /D (004subsection.13) >> endobj 32 0 obj (1.6. Outline of the paper) endobj 33 0 obj << /S /GoTo /D (004section.15) >> endobj 36 0 obj (2. Quasi-biharmonic representations of quasimorphisms) endobj 37 0 obj << /S /GoTo /D (004section.19) >> endobj 40 0 obj (3. Cocycle martingales and the proofs of the main theorems) endobj 41 0 obj << /S /GoTo /D (004section.23) >> endobj 44 0 obj (4. Quasimorphisms on countable groups and integral representations) endobj 45 0 obj << /S /GoTo /D (004section.27) >> endobj 48 0 obj (Appendix A. Strongly affine maps and Mokobodzki means) endobj 49 0 obj << /S /GoTo /D (004section*.31) >> endobj 52 0 obj (References) endobj 53 0 obj << /S /GoTo /D [54 0 R /FitBH ] >> endobj 58 0 obj << /Length 2945 /Filter /FlateDecode >> stream x˒ܶ_R* 7+Seoʇ(,w\o)zSIr w7nyً/Xb5כۇ KIьa~fۯaRD2 [Œw͇N4S0+-lr R-L~t@=t^Ro`j&謁0{5"@QlkMV=?$Rsܿ$NIB `^Ǭ9U4<}WU_?͖I}~Yu%L8eq*:;ۚ·-W ̹_Y[pME/ʺ:a?e?SiQbeN9@;pjApgޤp#BJ=Wnw'q_/K>w/# *aU\^/!1$Êk7~}u7(n@ IiI hkk$pJ|28`Mp{717? R0 j/7RM@6Vu)Mi߶L%9z g y7Y_eֶy~gɧ_ze Oپ_|_ՄK="=&ء`_3fn9Sox" Er4}vYgZ0薑`lw74 rf2=[~ $0 .L!tFV̥ScGsV)0 fTZV%YStUN=~*}z&GsFj##)ZR9ɉfGPb+B0>Ek^Xrʚ`+s:uQ-)>)MY {stKX&sѦ>:SM0+:l벢1#5U+gM&M愣,Jڛ*F=r4GRCǛg4NQCK"0I %NΓTb3-X``x1 J9 edJw>ʣ~Ty{5nA|aB:A@ ,:%!AZ'>ϫ>2,Bc,Fws=A]YmjS84:.Q%@ 4U1+ ʼnQ"aS#a҄`|M}eaжcePr{q#Bo6{B`66 T~y1+\J-}v5%J~ɫ-$Ɖc*?#kqpX.(؝Pv/ЉA}VJԯ#x8)y HN ɳr<'ao|ȐfbE!ρ3ՊAf\L3@ldXO2!l,$i {ԆɁU;! pK1rDglAXsᔇEHiFu]Vz *%AӵeDEphQWHCAb6EԌ)]VPb7[?D#t?"Wz=ؼCUH5i}T81s*=ZMz' Q`S$<|hh=ge3_2`ӛ Ue-aPki850?ԻWAU f榓ej%@O=ײh"ˀE.Ȱ{0w/~B1ABS8۴!:V{ȅݲLm5g+sըNǦِzJJ_eA_z*Gm[4TBUR!WrKYoE&>o\}^$;M.uuhVyhݕLո'")5h6b8;#WJ<^Pv*p"FG\wh78d$ 4eBm}s?UƦpgU;e'-O!1#ZUy$CQR_yU[Z- cn)b@N5vnir]@~.5\UbU&c*?Th%1[)3z)ͿDB(B|,L} }*}+/FAcDRI2\Jv H@t?[jsde8casɮ`VSJD>SW0X%ٌFW8r,L?[$bLSrBi0Yjfi?ZC8,e )$2ٴFv5ty`<.1B/NJNӍrd)Nj