so much new stuff

12 files changed, 417 insertions, 181 deletions

diff --git a/aps_mm_2017.aux b/aps_mm_2017.aux
index b5ce668..79e4753 100644
--- a/aps_mm_2017.aux
+++ b/aps_mm_2017.aux
@@ -20,18 +20,26 @@
 \@writefile{nav}{\beamer@endinputifotherversion {3.36pt}}
 \@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
-\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
-\@writefile{nav}{\headcommand {\slideentry {0}{0}{3}{3/3}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
-\@writefile{nav}{\headcommand {\slideentry {0}{0}{4}{4/4}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
-\@writefile{nav}{\headcommand {\slideentry {0}{0}{5}{5/5}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
-\@writefile{nav}{\headcommand {\slideentry {0}{0}{6}{6/6}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
-\@writefile{nav}{\headcommand {\beamer@partpages {1}{6}}}
-\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{6}}}
-\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{6}}}
-\@writefile{nav}{\headcommand {\beamer@documentpages {6}}}
-\@writefile{nav}{\headcommand {\def \inserttotalframenumber {6}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/5}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {2}{5}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{3}{6/8}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {6}{8}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{4}{9/11}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {9}{11}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{5}{12/13}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {12}{13}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{6}{14/15}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {14}{15}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{7}{16/17}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {16}{17}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{8}{18/18}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{9}{19/19}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
+\@writefile{nav}{\headcommand {\slideentry {0}{0}{10}{20/20}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}
+\@writefile{nav}{\headcommand {\beamer@partpages {1}{20}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{20}}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{20}}}
+\@writefile{nav}{\headcommand {\beamer@documentpages {20}}}
+\@writefile{nav}{\headcommand {\def \inserttotalframenumber {10}}}
diff --git a/aps_mm_2017.log b/aps_mm_2017.log
index eab0e94..28f1165 100644
--- a/aps_mm_2017.log
+++ b/aps_mm_2017.log
@@ -1,4 +1,4 @@
-This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Arch Linux) (preloaded format=pdflatex 2016.11.22)  27 FEB 2017 16:32
+This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Arch Linux) (preloaded format=pdflatex 2016.11.28)  1 MAR 2017 08:13
 entering extended mode
  restricted \write18 enabled.
  file:line:error style messages enabled.
@@ -1060,21 +1060,21 @@ Package: beamerfontthemeserif 2010/06/17  (rcs-revision d02a7cf4d8ae)
 ) (./aps_mm_2017.aux)
 \openout1 = `aps_mm_2017.aux'.
 
-LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 25.
-LaTeX Font Info:    ... okay on input line 25.
-LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 25.
-LaTeX Font Info:    ... okay on input line 25.
-LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 25.
-LaTeX Font Info:    ... okay on input line 25.
-LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 25.
-LaTeX Font Info:    ... okay on input line 25.
-LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 25.
-LaTeX Font Info:    ... okay on input line 25.
-LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 25.
-LaTeX Font Info:    ... okay on input line 25.
-LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 25.
-LaTeX Font Info:    ... okay on input line 25.
-LaTeX Font Info:    Try loading font information for T1+ccr on input line 25.
+LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 26.
+LaTeX Font Info:    ... okay on input line 26.
+LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 26.
+LaTeX Font Info:    ... okay on input line 26.
+LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 26.
+LaTeX Font Info:    ... okay on input line 26.
+LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 26.
+LaTeX Font Info:    ... okay on input line 26.
+LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 26.
+LaTeX Font Info:    ... okay on input line 26.
+LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 26.
+LaTeX Font Info:    ... okay on input line 26.
+LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 26.
+LaTeX Font Info:    ... okay on input line 26.
+LaTeX Font Info:    Try loading font information for T1+ccr on input line 26.
  (/usr/share/texmf-dist/tex/latex/ccfonts/t1ccr.fd
 File: t1ccr.fd 1999/11/22 v1.0a (WaS)
 )
@@ -1144,7 +1144,7 @@ e
 ))
 ABD: EveryShipout initializing macros
 \AtBeginShipoutBox=\box54
-Package hyperref Info: Link coloring OFF on input line 25.
+Package hyperref Info: Link coloring OFF on input line 26.
 
 (/usr/share/texmf-dist/tex/latex/hyperref/nameref.sty
 Package: nameref 2016/05/21 v2.44 Cross-referencing by name of section
@@ -1154,9 +1154,9 @@ Package: gettitlestring 2016/05/16 v1.5 Cleanup title references (HO)
 )
 \c@section@level=\count159
 )
-LaTeX Info: Redefining \ref on input line 25.
-LaTeX Info: Redefining \pageref on input line 25.
-LaTeX Info: Redefining \nameref on input line 25.
+LaTeX Info: Redefining \ref on input line 26.
+LaTeX Info: Redefining \pageref on input line 26.
+LaTeX Info: Redefining \nameref on input line 26.
 
 (./aps_mm_2017.out) (./aps_mm_2017.out)
 \@outlinefile=\write5
@@ -1165,41 +1165,41 @@ LaTeX Info: Redefining \nameref on input line 25.
 \symnumbers=\mathgroup7
 \sympureletters=\mathgroup8
 LaTeX Font Info:    Overwriting math alphabet `\mathrm' in version `normal'
-(Font)                  OT1/ccr/m/n --> T1/ccr/m/n on input line 25.
-LaTeX Font Info:    Redeclaring math alphabet \mathbf on input line 25.
+(Font)                  OT1/ccr/m/n --> T1/ccr/m/n on input line 26.
+LaTeX Font Info:    Redeclaring math alphabet \mathbf on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `normal'
-(Font)                  OT1/ccr/bx/n --> T1/ccr/bx/n on input line 25.
+(Font)                  OT1/ccr/bx/n --> T1/ccr/bx/n on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `bold'
-(Font)                  OT1/ccr/bx/n --> T1/ccr/bx/n on input line 25.
-LaTeX Font Info:    Redeclaring math alphabet \mathsf on input line 25.
+(Font)                  OT1/ccr/bx/n --> T1/ccr/bx/n on input line 26.
+LaTeX Font Info:    Redeclaring math alphabet \mathsf on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathsf' in version `normal'
-(Font)                  OT1/cmss/m/n --> T1/cmss/m/n on input line 25.
+(Font)                  OT1/cmss/m/n --> T1/cmss/m/n on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathsf' in version `bold'
-(Font)                  OT1/cmss/bx/n --> T1/cmss/m/n on input line 25.
-LaTeX Font Info:    Redeclaring math alphabet \mathit on input line 25.
+(Font)                  OT1/cmss/bx/n --> T1/cmss/m/n on input line 26.
+LaTeX Font Info:    Redeclaring math alphabet \mathit on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `normal'
-(Font)                  OT1/ccr/m/it --> T1/ccr/m/it on input line 25.
+(Font)                  OT1/ccr/m/it --> T1/ccr/m/it on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `bold'
-(Font)                  OT1/ccr/m/it --> T1/ccr/m/it on input line 25.
-LaTeX Font Info:    Redeclaring math alphabet \mathtt on input line 25.
+(Font)                  OT1/ccr/m/it --> T1/ccr/m/it on input line 26.
+LaTeX Font Info:    Redeclaring math alphabet \mathtt on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathtt' in version `normal'
-(Font)                  OT1/cmtt/m/n --> T1/cmtt/m/n on input line 25.
+(Font)                  OT1/cmtt/m/n --> T1/cmtt/m/n on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathtt' in version `bold'
-(Font)                  OT1/cmtt/m/n --> T1/cmtt/m/n on input line 25.
+(Font)                  OT1/cmtt/m/n --> T1/cmtt/m/n on input line 26.
 LaTeX Font Info:    Overwriting symbol font `numbers' in version `bold'
-(Font)                  T1/ccr/m/n --> T1/ccr/bx/n on input line 25.
+(Font)                  T1/ccr/m/n --> T1/ccr/bx/n on input line 26.
 LaTeX Font Info:    Overwriting symbol font `pureletters' in version `bold'
-(Font)                  T1/ccr/m/it --> T1/ccr/bx/it on input line 25.
+(Font)                  T1/ccr/m/it --> T1/ccr/bx/it on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathrm' in version `bold'
-(Font)                  OT1/ccr/bx/n --> T1/ccr/bx/n on input line 25.
+(Font)                  OT1/ccr/bx/n --> T1/ccr/bx/n on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `bold'
-(Font)                  T1/ccr/bx/n --> T1/ccr/bx/n on input line 25.
+(Font)                  T1/ccr/bx/n --> T1/ccr/bx/n on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathsf' in version `bold'
-(Font)                  T1/cmss/m/n --> T1/cmss/bx/n on input line 25.
+(Font)                  T1/cmss/m/n --> T1/cmss/bx/n on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `bold'
-(Font)                  T1/ccr/m/it --> T1/ccr/bx/it on input line 25.
+(Font)                  T1/ccr/m/it --> T1/ccr/bx/it on input line 26.
 LaTeX Font Info:    Overwriting math alphabet `\mathtt' in version `bold'
-(Font)                  T1/cmtt/m/n --> T1/cmtt/bx/n on input line 25.
+(Font)                  T1/cmtt/m/n --> T1/cmtt/bx/n on input line 26.
 
 (/usr/share/texmf-dist/tex/latex/beamer/translator/dicts/translator-basic-dicti
 onary/translator-basic-dictionary-English.dict
@@ -1225,77 +1225,177 @@ Dictionary: translator-numbers-dictionary, Language: English
 tionary/translator-theorem-dictionary-English.dict
 Dictionary: translator-theorem-dictionary, Language: English 
 )
-LaTeX Info: Redefining \includegraphics on input line 25.
+LaTeX Info: Redefining \includegraphics on input line 26.
  (./aps_mm_2017.nav)
-LaTeX Font Info:    Try loading font information for OT1+ccr on input line 32.
+LaTeX Font Info:    Try loading font information for OT1+ccr on input line 35.
 
 (/usr/share/texmf-dist/tex/latex/concmath/ot1ccr.fd
 File: ot1ccr.fd 1999/03/10 v2.0b LaTeX font defs for Concrete math fonts
 )
-LaTeX Font Info:    Try loading font information for OML+ccm on input line 32.
+LaTeX Font Info:    Try loading font information for OML+ccm on input line 35.
 
 (/usr/share/texmf-dist/tex/latex/concmath/omlccm.fd
 File: omlccm.fd 1999/03/10 v2.0b LaTeX font defs for Concrete math fonts
 )
-LaTeX Font Info:    Try loading font information for OMS+ccsy on input line 32.
+LaTeX Font Info:    Try loading font information for OMS+ccsy on input line 35.
 
 
 (/usr/share/texmf-dist/tex/latex/concmath/omsccsy.fd
 File: omsccsy.fd 1999/03/10 v2.0b LaTeX font defs for Concrete math fonts
 )
-LaTeX Font Info:    Try loading font information for OMX+ccex on input line 32.
+LaTeX Font Info:    Try loading font information for OMX+ccex on input line 35.
 
 
 (/usr/share/texmf-dist/tex/latex/concmath/omxccex.fd
 File: omxccex.fd 1999/03/10 v2.0b LaTeX font defs for Concrete math fonts
 )
 LaTeX Font Info:    External font `xccex10' loaded for size
-(Font)              <10.95> on input line 32.
+(Font)              <10.95> on input line 35.
 LaTeX Font Info:    External font `xccex10' loaded for size
-(Font)              <8> on input line 32.
+(Font)              <8> on input line 35.
 LaTeX Font Info:    External font `xccex10' loaded for size
-(Font)              <6> on input line 32.
-LaTeX Font Info:    Try loading font information for U+msa on input line 32.
+(Font)              <6> on input line 35.
+LaTeX Font Info:    Try loading font information for U+msa on input line 35.
 
 (/usr/share/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 32.
+LaTeX Font Info:    Try loading font information for U+msb on input line 35.
 
 (/usr/share/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+lasy on input line 32.
+LaTeX Font Info:    Try loading font information for U+lasy on input line 35.
 
 (/usr/share/texmf-dist/tex/latex/base/ulasy.fd
 File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions
 )
 LaTeX Font Info:    External font `xccex10' loaded for size
-(Font)              <5> on input line 32.
+(Font)              <5> on input line 35.
 
 
 LaTeX Font Warning: Font shape `T1/ccr/m/n' in size <4> not available
-(Font)              size <5> substituted on input line 32.
+(Font)              size <5> substituted on input line 35.
 
 [1
 
-{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2
+{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]
+<figs/fig2.png, id=22, 991.705pt x 781.92125pt>
+File: figs/fig2.png Graphic file (type png)
+ <use figs/fig2.png>
+Package pdftex.def Info: figs/fig2.png used on input line 69.
+(pdftex.def)             Requested size: 122.91406pt x 96.90472pt.
+ [2
+
+ <./figs/fig2.png>]
+File: figs/fig2.png Graphic file (type png)
+ <use figs/fig2.png>
+Package pdftex.def Info: figs/fig2.png used on input line 69.
+(pdftex.def)             Requested size: 122.91406pt x 96.90472pt.
+ [3
 
-] [3
+]
+File: figs/fig2.png Graphic file (type png)
+ <use figs/fig2.png>
+Package pdftex.def Info: figs/fig2.png used on input line 69.
+(pdftex.def)             Requested size: 122.91406pt x 96.90472pt.
+ [4
+
+]
+File: figs/fig2.png Graphic file (type png)
+ <use figs/fig2.png>
+Package pdftex.def Info: figs/fig2.png used on input line 69.
+(pdftex.def)             Requested size: 122.91406pt x 96.90472pt.
+
+[5
+
+] <figs/fig3.pdf, id=45, 220.825pt x 225.84375pt>
+File: figs/fig3.pdf Graphic file (type pdf)
+ <use figs/fig3.pdf>
+Package pdftex.def Info: figs/fig3.pdf used on input line 102.
+(pdftex.def)             Requested size: 92.1879pt x 94.28166pt.
+
+<figs/fig4.pdf, id=46, 220.825pt x 225.84375pt>
+File: figs/fig4.pdf Graphic file (type pdf)
+ <use figs/fig4.pdf>
+Package pdftex.def Info: figs/fig4.pdf used on input line 102.
+(pdftex.def)             Requested size: 92.1879pt x 94.28166pt.
+ [6
+
+ <./figs/fig3.pdf> <./figs/fig4.pdf
+
+pdfTeX warning: pdflatex (file ./figs/fig4.pdf): PDF inclusion: multiple pdfs w
+ith page group included in a single page
+>]
+File: figs/fig3.pdf Graphic file (type pdf)
+ <use figs/fig3.pdf>
+Package pdftex.def Info: figs/fig3.pdf used on input line 102.
+(pdftex.def)             Requested size: 92.1879pt x 94.28166pt.
+File: figs/fig4.pdf Graphic file (type pdf)
+ <use figs/fig4.pdf>
+Package pdftex.def Info: figs/fig4.pdf used on input line 102.
+(pdftex.def)             Requested size: 92.1879pt x 94.28166pt.
+ [7
+
+]
+File: figs/fig3.pdf Graphic file (type pdf)
+ <use figs/fig3.pdf>
+Package pdftex.def Info: figs/fig3.pdf used on input line 102.
+(pdftex.def)             Requested size: 92.1879pt x 94.28166pt.
+File: figs/fig4.pdf Graphic file (type pdf)
+
+<use figs/fig4.pdf>
+Package pdftex.def Info: figs/fig4.pdf used on input line 102.
+(pdftex.def)             Requested size: 92.1879pt x 94.28166pt.
+ [8
+
+] [9
+
+] [10
+
+] [11
+
+] [12
 
-] [4
+] [13
 
 ]
-<figs/fig1.pdf, id=128, 271.0125pt x 168.63pt>
+<figs/fig1.pdf, id=137, 361.35pt x 239.89626pt>
 File: figs/fig1.pdf Graphic file (type pdf)
  <use figs/fig1.pdf>
-Package pdftex.def Info: figs/fig1.pdf used on input line 88.
-(pdftex.def)             Requested size: 215.10196pt x 133.84663pt.
- [5
+Package pdftex.def Info: figs/fig1.pdf used on input line 162.
+(pdftex.def)             Requested size: 215.10196pt x 142.8041pt.
+ [14
 
- <./figs/fig1.pdf>] [6
+ <./figs/fig1.pdf>]
+File: figs/fig1.pdf Graphic file (type pdf)
+ <use figs/fig1.pdf>
+Package pdftex.def Info: figs/fig1.pdf used on input line 162.
+(pdftex.def)             Requested size: 215.10196pt x 142.8041pt.
+ [15
+
+] [16
+
+] [17
+
+] [18
 
 ]
+Overfull \hbox (9.441pt too wide) detected at line 221
+ $[] []$ 
+ []
+
+[19
+
+] <figs/fig5.pdf, id=190, 317.185pt x 167.62625pt>
+File: figs/fig5.pdf Graphic file (type pdf)
+ <use figs/fig5.pdf>
+Package pdftex.def Info: figs/fig5.pdf used on input line 227.
+(pdftex.def)             Requested size: 245.83282pt x 129.92177pt.
+
+[20
+
+ <./figs/fig5.pdf>]
 \tf@nav=\write6
 \openout6 = `aps_mm_2017.nav'.
 
@@ -1305,11 +1405,11 @@ Package pdftex.def Info: figs/fig1.pdf used on input line 88.
 \tf@snm=\write8
 \openout8 = `aps_mm_2017.snm'.
 
-Package atveryend Info: Empty hook `BeforeClearDocument' on input line 98.
-Package atveryend Info: Empty hook `AfterLastShipout' on input line 98.
+Package atveryend Info: Empty hook `BeforeClearDocument' on input line 229.
+Package atveryend Info: Empty hook `AfterLastShipout' on input line 229.
  (./aps_mm_2017.aux)
-Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 98.
-Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 98.
+Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 229.
+Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 229.
 Package rerunfilecheck Info: File `aps_mm_2017.out' has not changed.
 (rerunfilecheck)             Checksum: D41D8CD98F00B204E9800998ECF8427E;0.
 
@@ -1317,33 +1417,35 @@ Package rerunfilecheck Info: File `aps_mm_2017.out' has not changed.
 LaTeX Font Warning: Size substitutions with differences
 (Font)              up to 1.0pt have occurred.
 
-Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 98.
+Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 229.
  ) 
 Here is how much of TeX's memory you used:
- 17223 strings out of 493013
- 322278 string characters out of 6139316
- 393845 words of memory out of 5000000
- 20303 multiletter control sequences out of 15000+600000
- 17644 words of font info for 51 fonts, out of 8000000 for 9000
+ 17244 strings out of 493013
+ 321845 string characters out of 6139316
+ 392797 words of memory out of 5000000
+ 20291 multiletter control sequences out of 15000+600000
+ 18323 words of font info for 52 fonts, out of 8000000 for 9000
  1141 hyphenation exceptions out of 8191
- 56i,14n,55p,391b,568s stack positions out of 5000i,500n,10000p,200000b,80000s
- </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concrete/ccr8.600pk> 
-</home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath-fonts/xccex10.6
-00pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath-fonts/xcc
-mi8.600pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath-font
-s/xccsy6.600pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath
--fonts/xccmi10.657pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/co
-ncrete/ccr10.657pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/conc
-math-fonts/xccsy8.600pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public
-/concmath-fonts/xccsy10.657pk>{/usr/share/texmf-dist/fonts/enc/dvips/cm-super/c
-m-super-t1.enc}</usr/share/texmf-dist/fonts/type1/public/cm-super/sform10.pfb><
-/usr/share/texmf-dist/fonts/type1/public/cm-super/sform6.pfb></usr/share/texmf-
-dist/fonts/type1/public/cm-super/sform8.pfb></usr/share/texmf-dist/fonts/type1/
-public/cm-super/sfoti10.pfb>
-Output written on aps_mm_2017.pdf (6 pages, 88369 bytes).
+ 56i,12n,55p,391b,475s stack positions out of 5000i,500n,10000p,200000b,80000s
+ </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath-fonts/xccsy6
+.600pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concrete/ccr6.60
+0pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concrete/ccr8.600pk
+> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath-fonts/xccsy8.
+600pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath-fonts/xc
+cmi10.657pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concmath-fo
+nts/xccex10.600pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public/concm
+ath-fonts/xccsy10.657pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/public
+/concmath-fonts/xccmi8.600pk> </home/pants/.texlive/texmf-var/fonts/pk/ljfour/p
+ublic/concrete/ccr10.657pk>{/usr/share/texmf-dist/fonts/enc/dvips/cm-super/cm-s
+uper-t1.enc}</usr/share/texmf-dist/fonts/type1/public/cm-super/sfocc10.pfb></us
+r/share/texmf-dist/fonts/type1/public/cm-super/sform10.pfb></usr/share/texmf-di
+st/fonts/type1/public/cm-super/sform6.pfb></usr/share/texmf-dist/fonts/type1/pu
+blic/cm-super/sform8.pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/sfo
+ti10.pfb>
+Output written on aps_mm_2017.pdf (20 pages, 232269 bytes).
 PDF statistics:
- 269 PDF objects out of 1000 (max. 8388607)
- 207 compressed objects within 3 object streams
- 13 named destinations out of 1000 (max. 500000)
- 48 words of extra memory for PDF output out of 10000 (max. 10000000)
+ 327 PDF objects out of 1000 (max. 8388607)
+ 214 compressed objects within 3 object streams
+ 41 named destinations out of 1000 (max. 500000)
+ 68 words of extra memory for PDF output out of 10000 (max. 10000000)
 
diff --git a/aps_mm_2017.nav b/aps_mm_2017.nav
index c482f87..2a27aad 100644
--- a/aps_mm_2017.nav
+++ b/aps_mm_2017.nav
@@ -1,18 +1,26 @@
 \beamer@endinputifotherversion {3.36pt}
 \headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}
 \headcommand {\beamer@framepages {1}{1}}
-\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}
-\headcommand {\beamer@framepages {2}{2}}
-\headcommand {\slideentry {0}{0}{3}{3/3}{}{0}}
-\headcommand {\beamer@framepages {3}{3}}
-\headcommand {\slideentry {0}{0}{4}{4/4}{}{0}}
-\headcommand {\beamer@framepages {4}{4}}
-\headcommand {\slideentry {0}{0}{5}{5/5}{}{0}}
-\headcommand {\beamer@framepages {5}{5}}
-\headcommand {\slideentry {0}{0}{6}{6/6}{}{0}}
-\headcommand {\beamer@framepages {6}{6}}
-\headcommand {\beamer@partpages {1}{6}}
-\headcommand {\beamer@subsectionpages {1}{6}}
-\headcommand {\beamer@sectionpages {1}{6}}
-\headcommand {\beamer@documentpages {6}}
-\headcommand {\def \inserttotalframenumber {6}}
+\headcommand {\slideentry {0}{0}{2}{2/5}{}{0}}
+\headcommand {\beamer@framepages {2}{5}}
+\headcommand {\slideentry {0}{0}{3}{6/8}{}{0}}
+\headcommand {\beamer@framepages {6}{8}}
+\headcommand {\slideentry {0}{0}{4}{9/11}{}{0}}
+\headcommand {\beamer@framepages {9}{11}}
+\headcommand {\slideentry {0}{0}{5}{12/13}{}{0}}
+\headcommand {\beamer@framepages {12}{13}}
+\headcommand {\slideentry {0}{0}{6}{14/15}{}{0}}
+\headcommand {\beamer@framepages {14}{15}}
+\headcommand {\slideentry {0}{0}{7}{16/17}{}{0}}
+\headcommand {\beamer@framepages {16}{17}}
+\headcommand {\slideentry {0}{0}{8}{18/18}{}{0}}
+\headcommand {\beamer@framepages {18}{18}}
+\headcommand {\slideentry {0}{0}{9}{19/19}{}{0}}
+\headcommand {\beamer@framepages {19}{19}}
+\headcommand {\slideentry {0}{0}{10}{20/20}{}{0}}
+\headcommand {\beamer@framepages {20}{20}}
+\headcommand {\beamer@partpages {1}{20}}
+\headcommand {\beamer@subsectionpages {1}{20}}
+\headcommand {\beamer@sectionpages {1}{20}}
+\headcommand {\beamer@documentpages {20}}
+\headcommand {\def \inserttotalframenumber {10}}
diff --git a/aps_mm_2017.pdf b/aps_mm_2017.pdf
index f506b85..fd007e7 100644
--- a/aps_mm_2017.pdf
+++ b/aps_mm_2017.pdf
diff --git a/aps_mm_2017.synctex.gz b/aps_mm_2017.synctex.gz
index 7a7b570..d487693 100644
--- a/aps_mm_2017.synctex.gz
+++ b/aps_mm_2017.synctex.gz
diff --git a/aps_mm_2017.tex b/aps_mm_2017.tex
index eda12da..d7b0a7f 100644
--- a/aps_mm_2017.tex
+++ b/aps_mm_2017.tex
@@ -16,8 +16,9 @@
 
 \usecolortheme{beaver}
 \usefonttheme{serif}
+\setbeamertemplate{navigation symbols}{}
 
-\title{Universal scaling and the essential singularity at the Ising first-order transition}
+\title{Universal scaling and the essential singularity at the abrupt Ising transition}
 \author{ Jaron~Kent-Dobias\inst{1} \and James~Sethna\inst{1}}
 \institute{\inst{1}Cornell University}
 \date{16 March 2016}
@@ -26,86 +27,203 @@
 
 \def\dd{\mathrm d}
 \def\im{\mathop{\mathrm{Im}}}
+\def\ei{\mathop{\mathrm{Ei}}}
+\def\crit{\mathrm{crit}}
 
 \begin{frame}
-	\titlepage
+  \titlepage
 \end{frame}
 
 \begin{frame}
-	\frametitle{Renormalization and free energy}
-	Rescale a system by a factor $b$, with couplings $K\to K'$.
-	From John Cardy's \emph{Scaling and Renormalization in Statistical Physics},
-	free energy per site $f$
-	\[
-		f(\{K\})=g(\{K\})+b^{-d}f(\{K'\})
-	\]
-	\begin{quote}
-		However, if we are interested in extracting only the \emph{singular}
-		behavior of $f$, \dots we may obtain a \emph{homogeneous} transformation law for the
-		\emph{singular part} of the free energy $f_s$
-		\[
-			f_s(\{K\})=b^{-d}f_s(\{K'\})
-		\]
-	\end{quote}
-	Defense: $g(\{K\})$ is an analytic function of $\{K\}$, while the singular
-	part is nonanalytic
+  \frametitle{Renormalization and Universality}
+
+  \begin{columns}
+    \begin{column}{0.4\textwidth}
+      \centering 
+      \includegraphics[width=\textwidth]{figs/fig2}
+
+      \tiny
+      From \emph{Scaling and Renormalization in Statistical Physics} by John
+      Cardy
+    \end{column}
+    \begin{column}{0.6\textwidth}
+      Renormalization is an analytic scaling transformation that acts on
+      system space.
+
+      \vspace{1em}\pause
+
+      Fixed points are scale invariant, corresponding to systems representing
+      idealized phases or critical behavior.
+
+      \vspace{1em}\pause
+
+      Nonanalytic behavior---like power laws and logarithms---are preserved
+      under {\sc rg} and shared by \emph{any} system that flows to the same
+      point.
+
+      \vspace{1em}\pause
+
+      Not all nonanalytic behavior is singular!
+    \end{column}
+  \end{columns}
 \end{frame}
 
 \begin{frame}
-	Follow thermodynamic functions onto metastable branch.
+  \frametitle{The Metastable Ising Model}
+
+  \begin{columns}
+    \begin{column}{0.3\textwidth}
+      \includegraphics[width=\textwidth]{figs/fig3}
+
+      \vspace{1em}
+
+      \includegraphics[width=\textwidth]{figs/fig4}
+    \end{column}
+    \begin{column}{0.7\textwidth}
+      Consider an Ising-class model brought into a metastable state.
+
+      \vspace{1em} \pause
+
+      A domain of $N$ spins entering the stable phase causes a free energy
+      change
+      \[
+        \Delta F=\Sigma N^\sigma-MHN
+      \]
+
+      \pause
+
+      The metastable phase is stable to domains smaller than
+      \[
+        N_\crit=\bigg(\frac{MH}{\sigma\Sigma}\bigg)^{-1/(\sigma-1)}
+      \]
+      but those larger will grow to occupy the entire system.
+    \end{column}
+  \end{columns}
 \end{frame}
 
 \begin{frame}
-	\[\Delta f\sim\Sigma\gamma(N)-HMN\]
-	Near the critical point, $\gamma(N)\sim N^{\frac{d-1}d}$ 
-	\[
-		M=|t|^\beta\mathcal M(h/{t^{\beta\delta}})
-	\]
-	\[
-		N_{crit}\sim\bigg(\frac{\Sigma}{HM}\Big(1-\tfrac1d\Big)\bigg)^d
-	\]
-	\[
-		\Delta f_{crit}\sim\Sigma\bigg(\frac{\Sigma}{HM}\bigg)^{d-1}
-		\sim X^{-(d-1)}\frac{\mathcal
-		S^d(X)}{\mathcal M^{d-1}(X)}
-	\]
-	$X=h/t^{\beta\delta}$
-	The probability that such a domain forms and the metastable state decays is given by the Boltzmann factor,
-	so that
-	$\Sigma\sim|t|^\mu$, $\mu=-\nu+\gamma+2\beta$
-	\[
-		\im f\sim e^{-\beta\, \Delta f_{crit}}
-		\sim\mathcal F(X)e^{-1/X^{d-1}}
-	\]
+  \frametitle{The Metastable Ising Model}
+
+  The formation of a critical domain has energy cost
+  \[
+    \Delta F_\crit\sim MH\bigg(\frac{MH}{\Sigma}\bigg)^{-1/(1-\sigma)}
+  \]
+
+  \pause
+
+  The decay rate of the metastable is proportional to the probability of
+  forming a critical domain $e^{-\beta\Delta F_\crit}$.
+  
+  \pause \vspace{1em}
+  
+  Decay of the equilibrium state implies existence of an imaginary part in the
+  free energy,
+  \[
+    \im F\sim e^{-\beta\Delta F_\crit}
+  \]
+
+\end{frame}
+\begin{frame}
+  \frametitle{The Metastable Ising Model}
+
+  Near the Ising critical point, $\sigma=1-\frac1d$ and
+  \begin{align*}
+    M=t^\beta\mathcal M(h/{t^{\beta\delta}})
+    &&
+    \Sigma=t^\mu\mathcal S(h/{t^{\beta\delta}})
+  \end{align*}
+  with $\mathcal M(0)$ and $\mathcal S(0)$ nonzero and finite.
+
+  \pause \vspace{1em}
+
+  Therefore,
+  \[
+    \Delta F_\crit\sim\Sigma\bigg(\frac{MH}{\Sigma}\bigg)^{-(d-1)}
+    =X^{-(d-1)}\mathcal F(X)
+  \]
+  for $X=h/t^{\beta\delta}$, and
+  \[
+    \im F=\mathcal I(X)e^{-\beta/X^{(d-1)}}
+  \]
 \end{frame}
 
 \begin{frame}
-	$e^{-1/x}$ is nonanalytic at $x=0$: all derivatives vanish, means that free
-	energy (which has no imaginary part in stable phase) is smooth
+  \frametitle{The Essential Singularity}
 
-	\centering
-	\includegraphics[width=0.7\textwidth]{figs/fig1}
+  \begin{center}
+    \includegraphics[width=.7\textwidth]{figs/fig1}
+  \end{center}
+
+      Imaginary free energy is nonanalytic at $H=0$.
+
+      \pause\vspace{1em}
+
+      This and its implications are therefore a universal feature of the Ising class.
 \end{frame}
+
 \begin{frame}
-	Analyticity of $F$ means that the imaginary
-
-	\[
-		f(h)=\sum_n A_nh^N
-	\]
-	\[
-		A_n=(-B)^{1-n}\Gamma(n-1)
-	\]
-
-	\[
-		f(h)=\frac1\pi\int_{h'<0}\frac{\dd h'\,\im f(h')}{h'-h}
-	\]
+  \frametitle{The Essential Singularity}
+
+  Analytic properties of the partition function imply that
+  \[
+    F(X)=\frac1\pi\int_{-\infty}^0\frac{\im F(X')}{X'-X}\;\dd X'
+  \]
+
+  \pause
+
+  Only predictive for high moments of $F$, or
+  \[
+    f_n=\frac1\pi\int_{-\infty}^0\frac{\im F(X')}{X^{\prime n+1}}\;\dd X'
+  \]
+  for $F=\sum f_nX^n$.
 \end{frame}
 
 \begin{frame}
-	Field theorists (Lubensky, blah blah blah)
-	\[
-		\mathcal
-	\]
+  \frametitle{The Essential Singularity}
+
+  Results from field theory indicate that $\mathcal I(X)\propto X$ for $d=2$
+  and small $X$, so that
+  \[
+    \im F=AXe^{-\beta/X^{(d-1)}}
+  \]
+
+  \[
+    f_n=\frac{A\Gamma(n-1)}{\pi(-B)^{n-1}}
+  \]
+
+  Not a convergent series---the real part of $F$ for $H>0$ is also
+  nonanalytic.
+\end{frame}
+
+\begin{frame}
+  \frametitle{The Essential Singularity}
+
+  In two dimensions, the Cauchy integral does not converge, normalize with
+  \[
+    F(X\,|\,\lambda)=\frac1\pi\int_{-\infty}^0\frac{\im
+    F(X')}{X'-X}\frac1{1+(\lambda X')^2}\;\dd X'
+  \]
+
+  \[
+    \begin{aligned}
+      \frac{A}\pi
+      \frac{Xe^{B/X}\ei(-B/X)+\frac1\lambda\im(e^{-i\lambda B}(i+\lambda
+    X)(\pi+i\ei(i\lambda B)))}{1+(\lambda X)^2}
+    \end{aligned}
+  \]
+
+  \[
+    \chi=t^{-\gamma}\mathcal X(h/t^{\beta\delta})
+  \]
+  \[
+    \mathcal X(X)=\frac A{\pi X^3}\big[(B-X)X+B^2e^{B/X}\ei(-B/X)\big]
+  \]
+\end{frame}
+
+\begin{frame}
+  \includegraphics[width=0.8\textwidth]{figs/fig5}
+
+  $A=-0.0939(8)$, $B=5.45(6)$.
 \end{frame}
 
 \end{document}
diff --git a/figs/fig1.pdf b/figs/fig1.pdf
index 2ecae6b..9f3bbce 100644
--- a/figs/fig1.pdf
+++ b/figs/fig1.pdf
diff --git a/figs/fig2.png b/figs/fig2.png
new file mode 100644
index 0000000..9a7c707
--- /dev/null
+++ b/figs/fig2.png
diff --git a/figs/fig3.pdf b/figs/fig3.pdf
new file mode 100644
index 0000000..e7128ce
--- /dev/null
+++ b/figs/fig3.pdf
diff --git a/figs/fig4.pdf b/figs/fig4.pdf
new file mode 100644
index 0000000..cb5a2f8
--- /dev/null
+++ b/figs/fig4.pdf
diff --git a/figs/fig5.pdf b/figs/fig5.pdf
new file mode 100644
index 0000000..e33c8e6
--- /dev/null
+++ b/figs/fig5.pdf
diff --git a/figs/fig6.pdf b/figs/fig6.pdf
new file mode 100644
index 0000000..7963ba2
--- /dev/null
+++ b/figs/fig6.pdf