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-LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 87. -LaTeX Font Info: ... okay on input line 87. -LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 87. -LaTeX Font Info: ... okay on input line 87. -LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 87. -LaTeX Font Info: ... okay on input line 87. -LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 87. -LaTeX Font Info: ... okay on input line 87. -LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 87. -LaTeX Font Info: ... okay on input line 87. -LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 87. -LaTeX Font Info: ... okay on input line 87. -LaTeX Font Info: Try loading font information for U+msa on input line 87. - -(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd -File: umsa.fd 2013/01/14 v3.01 AMS symbols A -) -LaTeX Font Info: Try loading font information for U+msb on input line 87. - -(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd -File: umsb.fd 2013/01/14 v3.01 AMS symbols B -) -LaTeX Font Info: Try loading font information for U+stmry on input line 87. - -(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd) -LaTeX Font Info: Try loading font information for U+lasy on input line 87. - -(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd -File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions -) -(/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii -[Loading MPS to PDF converter (version 2006.09.02).] -\scratchcounter=\count178 -\scratchdimen=\dimen230 -\scratchbox=\box105 -\nofMPsegments=\count179 -\nofMParguments=\count180 -\everyMPshowfont=\toks48 -\MPscratchCnt=\count181 -\MPscratchDim=\dimen231 -\MPnumerator=\count182 -\makeMPintoPDFobject=\count183 -\everyMPtoPDFconversion=\toks49 -) -Package caption Info: Begin \AtBeginDocument code. -Package caption Info: End \AtBeginDocument code. - ABD: EveryShipout initializing macros (./intro.tex - -LaTeX Warning: Citation `915396' on page 1 undefined on input line 2. - - -LaTeX Warning: Citation `915385' on page 1 undefined on input line 2. - - -LaTeX Warning: Citation `5376454' on page 1 undefined on input line 2. - 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-LaTeX Warning: Citation `guyeuxTaiwan10' on page 2 undefined on input line 31. - - -LaTeX Warning: Citation `bcgr11:ip' on page 2 undefined on input line 31. - - -LaTeX Warning: Citation `wbg10ip' on page 2 undefined on input line 32. - - -LaTeX Warning: Citation `chgw14oip' on page 2 undefined on input line 33. - - -LaTeX Warning: Citation `bcgr11:ip' on page 2 undefined on input line 35. - - -LaTeX Warning: Citation `chgw14oip' on page 2 undefined on input line 42. - - -LaTeX Warning: Citation `chgw14oip' on page 2 undefined on input line 58. - - -LaTeX Warning: Reference `sec:hypercube' on page 2 undefined on input line 96. - - -LaTeX Warning: Reference `sec:prng' on page 2 undefined on input line 100. - -) -Underfull \vbox (badness 10000) has occurred while \output is active [] - - [2] -(./preliminaries.tex -LaTeX Font Info: Try loading font information for U+dsrom on input line 2. - -(/usr/share/texlive/texmf-dist/tex/latex/doublestroke/Udsrom.fd -File: Udsrom.fd 1995/08/01 v0.1 Double stroke roman font definitions -) - -File: images/iter_f0c.pdf Graphic file (type pdf) - - -Package pdftex.def Info: images/iter_f0c.pdf used on input line 60. -(pdftex.def) Requested size: 230.36006pt x 170.13521pt. - - -LaTeX Warning: Citation `DBLP:conf/secrypt/CouchotHGWB14' on page 3 undefined o -n input line 66. - -) [3] (./chaos.tex - -LaTeX Warning: Citation `bcgr11:ip' on page 4 undefined on input line 2. - - -LaTeX Warning: Citation `bcgr11:ip' on page 4 undefined on input line 21. - -[4 <./images/iter_f0c.pdf>] - -LaTeX Warning: Citation `Devaney' on page 5 undefined on input line 62. - - -LaTeX Warning: Citation `Banks92' on page 5 undefined on input line 79. - -[5] -Overfull \hbox (12.18526pt too wide) in paragraph at lines 229--232 -[]\T1/cmr/m/n/10 The next $\OML/cmm/m/it/10 n \OMS/cmsy/m/n/10 ^^B [] []$ \T1/c -mr/m/n/10 dig-its aim at mea-sur-ing how much $\OML/cmm/m/it/10 u[]; u[]; [] ; -u[]$ - [] - -[6] -Underfull \hbox (badness 10000) in paragraph at lines 306--307 - - [] - -[7] -Overfull \hbox (2.48117pt too wide) in paragraph at lines 374--377 -[]$\OML/cmm/m/it/10 d[]\OT1/cmr/m/n/10 (^^F(\OML/cmm/m/it/10 u[]; v[]\OT1/cmr/m -/n/10 ); ^^F(\OML/cmm/m/it/10 u; v\OT1/cmr/m/n/10 )) = 10[]\OML/cmm/m/it/10 d[] -\OT1/cmr/m/n/10 ((\OML/cmm/m/it/10 u[]; v[]\OT1/cmr/m/n/10 ); (\OML/cmm/m/it/10 - u; v\OT1/cmr/m/n/10 ))$\T1/cmr/m/n/10 . As the right - [] - - -File: graphe1.pdf Graphic file (type pdf) - -Package pdftex.def Info: graphe1.pdf used on input line 401. -(pdftex.def) Requested size: 90.4383pt x 84.46596pt. - - -File: graphe2.pdf Graphic file (type pdf) - -Package pdftex.def Info: graphe2.pdf used on input line 409. -(pdftex.def) Requested size: 165.51913pt x 147.60213pt. - -Overfull \hbox (58.82022pt too wide) in paragraph at lines 409--410 - [][] - [] - -[8] -Overfull \hbox (8.8307pt too wide) in paragraph at lines 444--451 -[]\T1/cmr/m/n/10 Suppose that $\OT1/cmr/m/n/10 ^^@[](\OML/cmm/m/it/10 f\OT1/cmr -/m/n/10 )$ \T1/cmr/m/n/10 is strongly con-nected. Let $\OML/cmm/m/it/10 x \OT1/ -cmr/m/n/10 = (\OML/cmm/m/it/10 e; \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 u; v\OT1/cm -r/m/n/10 ))\OML/cmm/m/it/10 ; [] \OT1/cmr/m/n/10 = ([]\OML/cmm/m/it/10 ; \OT1/c -mr/m/n/10 ([]\OML/cmm/m/it/10 ; []\OT1/cmr/m/n/10 )) \OMS/cmsy/m/n/10 2 - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 472--477 -[]\T1/cmr/m/n/10 Let $\OML/cmm/m/it/10 y \OT1/cmr/m/n/10 = (\OML/cmm/m/it/10 e; - \OT1/cmr/m/n/10 ((\OML/cmm/m/it/10 u[]; :::; u[]; a[]; :::; a[]; a[]; :::; a[] -; :::; a[]; :::; a[];$ - [] - -[9 <./graphe1.pdf> <./graphe2.pdf>]) (./generating.tex - -LaTeX Warning: Citation `bcgr11:ip' on page 10 undefined on input line 2. - - -LaTeX Warning: Citation `DBLP:conf/secrypt/CouchotHGWB14' on page 10 undefined -on input line 9. - -[10] - -LaTeX Warning: Citation `bcgr11:ip' on page 11 undefined on input line 61. - -) (./hamilton.tex - -LaTeX Warning: Citation `Robinson:1981:CS' on page 11 undefined on input line 2 -. - - -LaTeX Warning: Citation `DBLP:journals/combinatorics/BhatS96' on page 11 undefi -ned on input line 2. - - -LaTeX Warning: Citation `ZanSup04' on page 11 undefined on input line 2. - - -LaTeX Warning: Citation `Bykov2016' on page 11 undefined on input line 2. - - -LaTeX Warning: Citation `DBLP:journals/combinatorics/BhatS96' on page 11 undefi -ned on input line 4. - - -LaTeX Warning: Citation `ZanSup04' on page 11 undefined on input line 4. - - -LaTeX Warning: Citation `Bykov2016' on page 11 undefined on input line 14. - - -LaTeX Warning: Citation `ZanSup04' on page 11 undefined on input line 27. - - -LaTeX Warning: Citation `DBLP:journals/combinatorics/BhatS96' on page 11 undefi -ned on input line 27. - - -LaTeX Warning: Citation `Bykov2016' on page 11 undefined on input line 28. - - -LaTeX Warning: Citation `ZanSup04' on page 11 undefined on input line 31. - -[11] - -LaTeX Warning: Citation `Robinson:1981:CS' on page 12 undefined on input line 3 -7. - - -LaTeX Warning: Citation `DBLP:journals/combinatorics/BhatS96' on page 12 undefi -ned on input line 37. - - -LaTeX Warning: Citation `ZanSup04' on page 12 undefined on input line 38. - - -LaTeX Warning: Citation `Robinson:1981:CS' on page 12 undefined on input line 4 -0. - - -LaTeX Warning: Citation `DBLP:journals/combinatorics/BhatS96' on page 12 undefi -ned on input line 43. - - -LaTeX Warning: Citation `ZanSup04' on page 12 undefined on input line 45. - - -LaTeX Warning: Citation `ZanSup04' on page 12 undefined on input line 62. - - -LaTeX Warning: Citation `ZanSup04' on page 12 undefined on input line 84. - -[12] -Overfull \hbox (104.68428pt too wide) in paragraph at lines 119--124 -[]\T1/cmr/m/it/10 Let now $\OML/cmm/m/it/10 L[] \OT1/cmr/m/n/10 = 0000\OML/cmm/ -m/it/10 ; \OT1/cmr/m/n/10 0010\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0110\OML/cmm/m -/it/10 ; \OT1/cmr/m/n/10 1110\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1111\OML/cmm/m/ -it/10 ; \OT1/cmr/m/n/10 0111\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0011\OML/cmm/m/i -t/10 ; \OT1/cmr/m/n/10 0001\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0101\OML/cmm/m/it -/10 ;$ $\OT1/cmr/m/n/10 0100\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1100\OML/cmm/m/i -t/10 ; \OT1/cmr/m/n/10 1101\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1001\OML/cmm/m/it -/10 ; \OT1/cmr/m/n/10 1011\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1010\OML/cmm/m/it/ -10 ; \OT1/cmr/m/n/10 1000$ - [] - - -Overfull \hbox (116.14502pt too wide) in paragraph at lines 125--130 -[]\T1/cmr/m/it/10 On the con-trary, for the stan-dard $\OT1/cmr/m/n/10 4$\T1/cm -r/m/it/10 -bits Gray code $\OML/cmm/m/it/10 L[] \OT1/cmr/m/n/10 = 0000\OML/cmm/ -m/it/10 ; \OT1/cmr/m/n/10 0001\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0011\OML/cmm/m -/it/10 ; \OT1/cmr/m/n/10 0010\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0110\OML/cmm/m/ -it/10 ; \OT1/cmr/m/n/10 0111\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0101\OML/cmm/m/i -t/10 ; \OT1/cmr/m/n/10 0100\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1100\OML/cmm/m/it -/10 ;$ - [] - -Runaway argument? -{2^{\mathsf {N} -n.a_{\mathsf {N}}}{2} \\ c_{\mathsf {N}} = \mathsf {\ETC. -! Paragraph ended before \@genfrac was complete. - - \par -l.189 - -? r -OK, entering \nonstopmode... -! Missing $ inserted. - - $ -l.190 Since $a_ - {\mathsf{N}$ is even, $d_{\mathsf{N}}$ is defined. -I've inserted a begin-math/end-math symbol since I think -you left one out. Proceed, with fingers crossed. - -! Missing } inserted. - - } -l.190 Since $a_{\mathsf{N}$ - is even, $d_{\mathsf{N}}$ is defined. -I've inserted something that you may have forgotten. -(See the above.) -With luck, this will get me unwedged. But if you -really didn't forget anything, try typing `2' now; then -my insertion and my current dilemma will both disappear. - - -! LaTeX Error: Something's wrong--perhaps a missing \item. - -See the LaTeX manual or LaTeX Companion for explanation. -Type H for immediate help. - ... - -l.194 \subsection - {Toward a local uniform distribution of switches} -Try typing to proceed. -If that doesn't work, type X to quit. - - -! LaTeX Error: Something's wrong--perhaps a missing \item. - -See the LaTeX manual or LaTeX Companion for explanation. -Type H for immediate help. - ... - -l.194 \subsection - {Toward a local uniform distribution of switches} -Try typing to proceed. -If that doesn't work, type X to quit. - -! Missing } inserted. - - } -l.194 ...a local uniform distribution of switches} - -I've inserted something that you may have forgotten. -(See the above.) -With luck, this will get me unwedged. But if you -really didn't forget anything, try typing `2' now; then -my insertion and my current dilemma will both disappear. - -! Missing \cr inserted. - - \cr -l.194 ...a local uniform distribution of switches} - -I'm guessing that you meant to end an alignment here. - -! Missing $ inserted. - - $ -l.194 ...a local uniform distribution of switches} - -I've inserted a begin-math/end-math symbol since I think -you left one out. Proceed, with fingers crossed. - -) -! Interruption. - - \vskip -l.124 \section{Stopping Time} - \label{sec:hypercube} -? X - -Here is how much of TeX's memory you used: - 22160 strings out of 493105 - 431104 string characters out of 6137072 - 549154 words of memory out of 5000000 - 24932 multiletter control sequences out of 15000+600000 - 28957 words of font info for 91 fonts, out of 8000000 for 9000 - 1302 hyphenation exceptions out of 8191 - 54i,14n,75p,539b,695s stack positions out of 5000i,500n,10000p,200000b,80000s -{/usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-t1.enc} -Output written on main.pdf (12 pages, 536444 bytes). -PDF statistics: - 250 PDF objects out of 1000 (max. 8388607) - 178 compressed objects within 2 object streams - 0 named destinations out of 1000 (max. 500000) - 16 words of extra memory for PDF output out of 10000 (max. 10000000) -