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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. 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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. LaTeX Warning: Citation `915396' on page 1 undefined on input line 5. LaTeX Warning: Citation `915385' on page 1 undefined on input line 5. LaTeX Warning: Citation `5376454' on page 1 undefined on input line 5. LaTeX Warning: Citation `Marsaglia1996' on page 1 undefined on input line 10. LaTeX Warning: Citation `Nist10' on page 1 undefined on input line 10. LaTeX Warning: Citation `LEcuyerS07' on page 1 undefined on input line 10. LaTeX Warning: Citation `Devaney' on page 1 undefined on input line 19. LaTeX Font Info: Try loading font information for OMS+cmr on input line 26. (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd File: omscmr.fd 2014/09/29 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <7> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 26. [1 Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored!{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] 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 . 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[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. ) ! Missing $ inserted. $ l.122 I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Missing \endgroup inserted. \endgroup l.122 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 \right. inserted. \right . l.122 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. ! Display math should end with $$. \par l.122 The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. Overfull \hbox (482.90009pt too wide) detected at line 122 [] \OMS/cmsy/m/n/10 , [] [] (./stopping.tex [13] LaTeX Warning: Citation `LevinPeresWilmer2006' on page 14 undefined on input li ne 85. [14] [15] LaTeX Warning: Reference `lm:h' on page 16 undefined on input line 301. LaTeX Warning: Citation `proba' on page 16 undefined on input line 314. [16] LaTeX Warning: Reference `prop:stop' on page 17 undefined on input line 360. LaTeX Warning: Reference `prop:stop' on page 17 undefined on input line 367. LaTeX Warning: Reference `prop:lambda' on page 17 undefined on input line 368. LaTeX Warning: Reference `lm:stopprime' on page 17 undefined on input line 368. ) [17] (./prng.tex LaTeX Warning: Reference `CI Algorithm:2' on page 18 undefined on input line 13 . LaTeX Warning: Reference `sec:hypercube' on page 18 undefined on input line 44. LaTeX Warning: Reference `eq:Markov:rairo' on page 18 undefined on input line 5 9. LaTeX Warning: Reference `table:nc' on page 18 undefined on input line 62. LaTeX Warning: Command \textcircled invalid in math mode on input line 64. LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 64. LaTeX Warning: Command \textcircled invalid in math mode on input line 64. LaTeX Warning: Command \textcircled invalid in math mode on input line 67. LaTeX Warning: Command \textcircled invalid in math mode on input line 67. [18] LaTeX Warning: Reference `sec:hypercube' on page 19 undefined on input line 76. LaTeX Warning: Command \textcircled invalid in math mode on input line 89. LaTeX Warning: Command \textcircled invalid in math mode on input line 89. LaTeX Warning: Command \textcircled invalid in math mode on input line 92. LaTeX Warning: Command \textcircled invalid in math mode on input line 92. LaTeX Warning: Command \textcircled invalid in math mode on input line 105. LaTeX Warning: Command \textcircled invalid in math mode on input line 105. LaTeX Warning: Command \textcircled invalid in math mode on input line 122. LaTeX Warning: Command \textcircled invalid in math mode on input line 122. LaTeX Warning: Command \textcircled invalid in math mode on input line 172. 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LaTeX Warning: Command \textcircled invalid in math mode on input line 231. Overfull \hbox (4.26556pt too wide) in paragraph at lines 229--250 [] [] ) (./conclusion.tex Missing character: There is no p in font dsrom8! Missing character: There is no p in font dsrom8! [19]) (./main.bbl Underfull \vbox (badness 10000) has occurred while \output is active [] [20] Underfull \hbox (badness 10000) in paragraph at lines 81--84 []\T1/cmr/m/n/8 G. Marsaglia. Diehard: a bat-tery of tests of ran-dom-ness. [] Underfull \vbox (badness 10000) has occurred while \output is active [] [21]) [22] (./main.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (\end occurred inside a group at level 1) ### simple group (level 1) entered at line 10 ({) ### bottom level Here is how much of TeX's memory you used: 22192 strings out of 493105 431459 string characters out of 6137072 566154 words of memory out of 5000000 24950 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,17n,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 (22 pages, 613533 bytes). PDF statistics: 283 PDF objects out of 1000 (max. 8388607) 203 compressed objects within 3 object streams 0 named destinations out of 1000 (max. 500000) 28 words of extra memory for PDF output out of 10000 (max. 10000000)