DraFt vErsion FEbruary 27, 2007 Preprint typeset using LATEX style ...
DraFt vErsion FEbruary 27, 2007 Preprint typeset using LATEX style ...
DraFt vErsion FEbruary 27, 2007 Preprint typeset using LATEX style ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Ú7¢ ìÊ~¼¸£³¨À]½ ß<br />
ÀCʳÐø¼!¸“ºÆÀ¹Q)º~ÂKÀC¸“ÀC¾%ÀM³;Ä'¼!ǹR]¾~Ò¨½0³Ç´[UÂSÀMÇC¼!ÃÊGÎ%ÂK¸=ÒÂá¢ÀCʳÐtÑ»G½“¸<br />
Q)º~ÂSÀM¸õÀM¾%ÀC³ÐÄ'¼!ÇËg6¦ÇCÀC¸=Ò¨½0³o[]ÂKÀCÇM¼Ã~ÊÆÎ%ÂC¸0Ò¹¦º~Árì¼!ÂC·¹¼½0¼ÅÎ!á¢ÀCʳ<br />
@CPLXOq ¢ r\ ¤F%BE_CDYB4T¢ r\ Z` F%NrcHr\2crcrNrK Z r\#ZqLF%BOlLcrDYK r\<br />
y<br />
\.Tsl¥¢L\ x} h\ d;595<br />
df}C}95<br />
@CcrcrDYKOKf\ r\7DuMVF%c Lj gCg7d \ ^T Z.\ e j 5 \ dfgCeC}<br />
y<br />
BE@%MO@CJ,\] ¥¢ r\LDuMsF%c j gCg 37\ ^T Z|\ e 3967\ dCd 313<br />
y<br />
qLDYKG\ a ¤¥r\VPFMOF%DYBEMf\ r\ F7\ y a*or\¦wDYKEMf\9T2T2j gCg 67\<br />
]sDfKEBO@¨X<br />
g 6 g95%x h x<br />
F%KMOBE@%a*lLq0<br />
df}95Cg \.Tsl¥¢L\j e 67\ e 3 d<br />
]sBODYKOKEcrDfBf\7Tr\<br />
¥¢ r\LDuMVF%c j gCg7d \T©¢L\ d jCj7\.jCj96h<br />
NrKODYJLKMODYNrJ,\L]<br />
¡§ y 9Z<br />
Q)º.ÂSÀM¸õÀM¾%ÀC³]Ä'¼ÇY[UÂSÀMÇC¼!ÃÊGÎGÂC¸=ÒÂá!RZ³È¡ó³¨µ%¸=Ò¨¼jÆÀ-¤ÀM³UwZº~¸“»!³Ç-ÂK¸“ÀSÎá<br />
jÆÀ-¤ÀM³öwZº¸0»³ÇMÂC¸“ÀSÎáw]º¸“»!³Ç-ÂK¸“ÀSÎ ¼Äîg ¸“ÀKÀMÂCì¾ÇMÅÊ?áwZº¸“¿<br />
bUÊ~¸“¼<br />
ÇM¸“º~Ò³¨ÀM¼ºówZº¸0»³ÇMÂC¸“ÀSÎáÀMʳw]º¸õÀM³Á<br />
»!³Ç-ÂK¸“ÀSÎî¼Ä6g¢¼!ÇKÀ-ÂK·¹¼!¾%ÀCÊàá.g<br />
¼Äd²ÓÂCÊ%¿<br />
jGÀM¤ÀM³ÂÕRU»¤¦½ibUì~ÂC³ÇM»¤¤ÀC¼!ÇCÎ!á?¦º.ÁÏÀMʳ;w]º¸“»!³Ç-ÂK¸“ÀSÎ<br />
LoFY[7JLD bZ7F%J §BOF%JLXYNrKOXY@:/TAZo % \.j96 }<br />
o2BONr`mNrJ7Nb\§¦<br />
F%UL_ ¨ NrX ] .Z r\7DuMVF%c r\Lj gCg j7\ ^T Z.\ eCeCe \ dfeCe<br />
<br />
N MOX q7Dfcrcb\¥¢ r\.?ADYDYME@CJ,\ y r\ §BONrDY` F%J,\¢ Tr\¦zZqLDuMEq,\ ?¤\j gCg 37\<br />
<br />
57d TVl¥¢L\6CjCj7\<br />
F %F%`"PLB F7\¤ r\LDuMsF%c j gCgCe \.Tsl¥¢L\ d j137\ d 6 5 j<br />
<br />
|\ y r\7DuMVF%c r\Lj gCg 67\.Tsl¥¢L\LKOP L`mN MEMEDYU ;oF%l|DYB HEH %<br />
oF%B<br />
r\ PLl7ME@CJ,\ r\¥¦ HbWD [YNrXC\ Lj gCgCe \T£¢L\ d j137\ d 313 }<br />
Z<br />
¤¥ r\LZ` F%Nrcb\¨Hr\]VBEDYKOKOcrDYBf\7Tr\ y @CPLX q'\¤ ¥¢r\ ¤F%BO_CDYBG\T <br />
o@C_C_CN{F%JMENb\<br />
¤9PLBEMEX qLDYBG\ r\ 2crcrNrKf\ |Z r\¦'VDf`mcrDYBf\LT r\¥¢B© df}C}C} \.TVl¤¢\,3 d;5 \<br />
¢r\<br />
F%PLXOqLNb\ y r\¤¦CV@%MO@L\ Lj gCg%x \ ^T Z.\ e 3Cj7\ 57d 3<br />
9F%`<br />
|\L] r\7DuMVF%c j gCgCg \T©¢L\ d j g \ d 3h }<br />
2@CB<br />
¼Ä]±eÂC³½|á `d·ìÇM¸=Á%ų;w]º¸0»³Ç-ÂC¸õÀSÎ!á `d!ÂK³;² ³ÂSÀM³ÇMºsXW³¨¿<br />
ÂK¸“ÀSÎ<br />
¼¦ÄUìʸ=Ò¦Å!¼~áA_]ÇM³¨µ%³½dwZº¸0»³ÇK¿<br />
ÂK³ÇC»!³îwZº¸0»³ÇMÂC¸õÀSÎ!áAw]º¸0»³Ç-ÂC¸õÀSÎ<br />
\?[ Ìbmj%TZòá%\à¼ÆÂY[]½0·´¼ÆÂiRU¤ÀM¸“¼!º~¦½3\?¦ì3¼Ç-¤ÀM¼ÇMÎáÀCʳ<br />
³º~Ò¨³Â]í<br />
¦µÆ¿)g ½=¦º.Ò-Í!¿<br />
ϤµG¿gY½0º~Ò-ÍÆ¿|Q)º.ÂSÀM¸õÀM¾%ÀC³óÄ'¼!Çó[]ÂKÀCÇM¼º¼!·Îá]ÀCʳ¦<br />
ÂK¸“ÀSÎák~³ÇM·¹¸“½=¦ìàámÀMʳöQ)º.ÂSÀM¸õÀM¾%ÀC³öÄ'¼ÇÏ[UÁ%»¤¦º~Ò³Á<br />
jÆÀM¾~Á%ÎáÀCʳ<br />
ø!Ã~¦ºrg6¦ÇCÀC¸=Ò¨¸0Ã~¦ÀC¸0¼º<br />
lÇM¼¾~ÃàáZø¼!ʺ~Âîq]¼ÃÍG¸0º~Âîw]º¸“»!³Ç-ÂK¸“ÀSÎá<br />
tm¼ÇM³¦ºrj%Ò¸“³º!ÀM¸0ÂKÀÐlÇM¼¾~ÃàáeÀCʳ^ìʸ0º³ÂC³Ï[]ÒÁ%³·Î<br />
¼¦Äj%Ò¸õ¿<br />
¸0ºÅÀC¼º?ß<br />
[fF¡ N{F%J,\.? r\DYMsF%c Lj gCg%x \.T£¢L\ d j 5 \3 g j<br />
TF<br />
F%J7a X y F%BEMEq¨[\¤¢L? r\LDuMsF%c j gCg 67\Tsl¥¢¨Z|\ d 6Cj7\ e95<br />
TsULDYcr`<br />
XC\ r\LDuMsF%c j gCg%x \.T \ e j137\,3 5Ce<br />
HbWDF[YN<br />
¢CBE_CDYJLKODYJ,\Hr\ §B F%J7t|\ r\§¦‚? "!BO_FCF%BOU'\ df}C} 37\ TAZ|\jh 67\ dfe%xLd<br />
?APLDYqLJ,\ § ¥¦<br />
^[ULDYJ,\ ¤¥Z .j gCg 3¤Tsl¥¢L\6 e%x \ dfgCe j<br />
\Z ? r\§¦ [7U7DfJ'\ ¤¥.Z Lj gCg j7\TVl¤¢\,3h g \6 dfg<br />
Tsc{F%`<br />
LDuMAF%c r\7j gCg%x \.TVl¤¢\ 6 gCg 6 57d<br />
¤F%crU7BE[\LHL?<br />
r\LDuMsF%c j gCg%x F7\.TVl¤¢\ 6 d 37\ dfg7d<br />
¤F%cr@C_Cq'\<br />
D ¨sNrKf\LHr\7DYMsF%c Lj gCg j7\<br />
^T Z|\ eCe%x \6h e<br />
XC\ r\?AJF%lLl,\ > r\2?ADYJMG\2Z r\<br />
r\#HbWDF[YN<br />
PLl7ME@CJ,\ r\>VP7JLJ,\¢ <br />
r\LDuMsF%c j gCg%x ,\ TAZ|\ e%x*5 \ dfe 313<br />
¤F%cr@C_Cq'\<br />
r\^ZqLDuMEq,\$ ^? r\ NrXOqL@Ccb\¦ y r\^ZX q7JLDYNrULDYBG\ ] or\¨¦<br />
¤9DYBEJF%BOULNb\<br />
'j gCg7d \,NrJ TAZo y @CJ7Q ,ZDYB©,j e95 \'TVKMOBE@CJL@C`mNrXfF%c#]AFMOF<br />
¦#2F%KOP7UF7\<br />
[KONrKsZ@%QM ¨^F%BODAF%JLU Z¨[KEMEDY`mK¨$"\DfU § F%BOJLULDYJ,\¤¢CB r\ § T <br />
TVJF%c<br />
¤9BENrJ ¨` F%JLJ,\¥¢ Lj gCg 3 T£¢L\ d j } \6 d<br />
r\7DuMsF%c j gCgCe F7\.T©¢L\ d j137\ d;5 696<br />
¤9DYBEJF%BOULNb\<br />
r\7DuMsF%c j gCgCe '\.T£¢L\ d j137\ d;57d h<br />
¤9DYBEJF%BOULNb\<br />
¤9c{F%JME@CJ,\<br />
r\DYMVF%c j gCg 37\LT£¢L\ d j } \.j1396Cj<br />
r\DYMVF%c j gCgCe F7\LTVl¥¢L\3 }%x \ d;5 6<br />
¤9c{F%JME@CJ,\<br />
r\ NrJ,\ r\ PLlMO@CJ,\ r\ F%crDu[¨\ § r\§2@CPLJ7_L\ r\<br />
¤9c{F%JME@CJ,\<br />
DYqFfWNb\Hr\¦ @GWDYUFY[¨\¢ Lj gCgCe ,\.T£¢L\ d j137\jCjh 6<br />
<br />
r\DYMVF%c j gCgCe XC\T©¢L\ d j137\.j e%x*5<br />
¤9c{F%JME@CJ,\<br />
|\ y r\¤¦ y qL@CNb\ a% r\Lj gCg 37\LTVl¥¢L\ 6 e 37\ j }<br />
oF%B<br />
A r\ PLJLJ,\¢ ,Tr\ NrJLULKEcrDY[\ ¤¥r\ DYJLJLDYKEKE[\¢ =Z r\'?ADfJMf\<br />
o2NrDYBG\&¢<br />
6 3h<br />
]r\LDuMsF%c r\j gCg%x \Tsl¥¢L\ 6 g j7\ df}Cg<br />
VPLNrJ¨MEDYBO@L\7T<br />
NrX qLF%BOULKf\ r\7DYMsF%c r\Lj gCg j7\T£¢L\ d j e \j }%x 3<br />
<br />
r\ #F%`m` F%JLJ,\ LTr\¥¦(9F%qLNrcb\7T r\ df} h } \TVl¥¢L\Lj e j7\ e 3Cj<br />
Z7F%JLUF%_CDC\.T<br />
LDuMsF%c j gCgCg \ TAZ|\ e7d h\,313<br />
Z7F%PLJLULDYBEKG\¤<br />
qLcrDY_CDYcb\] ¢ r\ §NrJ ¦.DYNrJLDYBG\¨] or\¦3]AFYW7NrKf\ <br />
ZX<br />
df}C}95 \Tsl¥¢L\23 gCg \3Cj13<br />
r\7DuMVF%c df}C}C} \o|T Zo \ dCdCd \ xe95<br />
§.F%crXY@L\<br />
PL_CN MOF7\ r\H*X qLN F©¨^F7\ r\ VPLJLJ'\¢ r\.]V@CNb\ r\|Zq7Nr` F%K F ¨P,\.? r\<br />
§P<br />
r\7DuMVF%c Lj gCgCe \ ^T Z.\ e%xe \ } h 5<br />
ZqLDYJ,\|Z<br />
L? r\LDuMsF%c j gCgCe \Tsl¥¢L\3 }%x \.jCj13<br />
ZqLDuMOq'\<br />
qLJLDYNrULDYBf\.] Lo df}C} 67\.T©¢L\ dCdCd \ d h x*5<br />
¦ZX<br />
PL_CN MOF7\ r\ F %F%`"PLB F7\¥ =PLBEJLDYBG\ r\ DYcr` .@CcrU7Mf\¥¢ r\ NrX qL@Ccb\<br />
§P<br />
Z`mN MOq'\¤¢ LTr\LDuMsF%c j gCg j7\.T©¢\ d j e \.j d j d<br />
y .j gCg%x TVl¥¢L\6 g7d \ d jh <br />
<br />
@C`mD [C\Lor\LDuMsF%c j gCgCe \.Tsl¥¢L\,3 5%x \.j dfg<br />
<br />
y r\LDuMsF%c j gCg j7\.T©¢\ d j e \ x*5 3<br />
Z¨MO@CP7_Cq¨ME@CJ,\<br />
7T r\DYMVF%c j gCg j7\LT£¢L\ d j x \ d;57dfg<br />
Z¨MOBOF%PLKOKf\<br />
#F%JF %F7\<br />
r\7DuMVF%c Lj gCg%x \T£¢L\ d j 5 \.j96hCh<br />
r\¢CPLBENrXC\ r\^ZX qLcrDY_CDYcb\A]r\ @G[crDC\ § r\ @C_CDYcrDY[\ VZ r\<br />
V@%MMf\£¢<br />
F%B |\ r\ ¤F%qLXfF%crcb\ r\¦ ¤9BONrJ ¨` F%JLJ,\¢ j gCg 37\TVl¥¢L\6Cj x \ x 6 e<br />
=DY_C`<br />
=Df_C` F%B |\&<br />
r\LDuMsF%c j gCg%x \LTVl¥¢L\6 g 67\ h g j<br />
V@%ME@ j gCg 3 <br />
TAZ e 3h\ }Ce h<br />
.j gCg 67\T \LNrJ lLBEDfKEK<br />
=PLXCDYBG\.]r\7DuMsF%c<br />
DYNrJL` F%J7J,\Z @ r\ W%F%J ULDYB ¤9@CKEX q,\ § y r\)9F%J7_L\*$r\+¦I @L\ ¢<br />
<br />
V@%ME@L\ r\LDuMsF%c j gCgCe F7\ TAZ|\ e%x 67\6 g7d<br />
V@%ME@L\ <br />
r\LDuMsF%c j gCgCe '\.o'TAZ§¢L\,3137\|h 3h<br />
j gCg 67\<br />
^T Z|\ e 6967\.j<br />
V@%ME@L\ <br />
r\LDuMsF%c j gCgCe XC\.o|T Z§¢L\3137\hCh d<br />
9F%` F%PLXOqLNb\ y r\¤¦CV@%MO@L\ Lj gCg 37\ ^T Z.\ e 3 } \ d 313h<br />
VP7JLJ,\¢ <br />
r\LDuMsF%c j gCg 67\.T©¢\ dfe7d \.j eCe j<br />
VP7JLJ,\¢ <br />
r\LDuMsF%c df}C}95 \.T©¢\ dCd 67\ eCg%xg<br />
@C_C_L\9] r\ §NrJ ¦.DYNrJLDYBG\] o r\2ZXOqLcrDY_CDfcb\2] ¢ r\¦ VPLJ7J,\¢ <br />
j<br />
<br />
\.T©¢L\ d jCj7\.j d j }<br />
gCg7d<br />
@C_C_L\.] r\7DYMsF%c r\Lj gCg%x \TVl¥¢L\ 6 g7d \ j }