&ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu...

12
+.1 c\&ùe-r 9\ f\-- t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii- C^,r Lts 1*t e [ryr * l] h-!- ù- = '11' 6i 0.À rr(i+ Z) a,be 0\i ù rr e S^. a' t.[ rr,alr i 1n,b) - Curbl h 4(, - f bra] +, b-<q ?- ut ,^- vÈscat ilrtxilx.( 1r- t "l 'ir(i-r) -tn_ o-<t<c i,t i i+ | )fl &&afq: r) 1') 2-) . rit i*r o. c b --' = --- b è.o--- - Z' ) t- , rT àJ^-a"^g i,t t,, r'r'I ,\'t q\, o- a'{rt4,;ts }r- î- tA'-LllaÂ/ \'lf. tôtd, .(tf L ^ W|L,ttr-trtia.lnt àt or-: Tr(i) oF rr-( i+, q 6q c4 t/r, . .lr> * n., t 3LJi 6 253 +r r z t gt [o- -.r,\l}lu^ Àc- vur:ù'rr{-c- ,f..'+cl.r+ "rÈ sT*,-{-t,fl^( Kr. 4.h^ 4.n\l\e_ ,ûfuJb,"h U --.2It6*- r , td^^d {, t{r"r,rt^^o e,3 te,,;- q z rt3--- l3+( -- ('rri., rrt i+r)) ù -6; M-pt- ûdts à,ctlx J";)r(^l^ vgrl r.,ru , * qA"âtkott dÀa^^æ ") cs^ nl,t/ eaù-,.r- rlir àr{r . (t\ ;",rr,^- ,^^ "^t*\) o* rtT lil^".r4i,. NB ' T B; t ùl*,tû,r"f à,t- rr- & ..25 I 6..-- "- L r r 3 ... - I 7 gq-" .h-,^il.ofto^^ NÂ- y\9tÈu^4{ -t{ /a'^'vu''fu^à tj,qra,i-rru.fu^-.rv rj.^^Xwrat "'F ,,Anni4r,t at t4'rytJ.!e- 1yt .xi1*- ,O^ la nn*lt N ,

Transcript of &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu...

Page 1: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

+.1c\&ùe-r 9\

f\--

t.r*aÀ,r^^ /tu

Ee-Àr!1\ùt ,v.r. e

Nr -ii-C^,r Lts 1*t

e [ryr * l] h-!-

ù- = '11' 6i0.À rr(i+ Z) €

a,be

0\i ù rr e S^.

a' t.[ rr,alr i

1n,b) - Curbl h 4(,- f bra] +, b-<q

?- ut ,^- vÈscat ilrtxilx.(1r- t

"l' i r( i-r)

-tn_

o-<t<ci , t i i+ |)fl

&&afq:r )

1')

2-). rit i*ro. c b -- '

= --- b è.o--- -

Z' ) t- , rT àJ^-a"^g i,tt,, r'r'I ,\'t q\, o- a'{rt4,;ts }r- î- tA'- LllaÂ/\'lf. tôtd, .(tf L

^ W|L,ttr-trtia.lnt àt

or-:

Tr(i) oF rr-( i+,

q

6qc4

t/r, .. l r>

* n.,t 3LJi 6253 +rr z t gt

[o- -.r,\l}lu^

Àc- vur:ù'rr{-c- ,f..'+cl.r+ "rÈ

sT*,-{-t,fl^(

Kr. 4.h^ 4.n\l\e_ ,ûfuJb,"h U

- - .2I t6*-r ,td^^d {,

t{r"r,rt^^o e,3

te,,;- qz r t3---

l3+( --

('rr i., rrt i+ r))

ù -6; M-pt-

ûdts à,ctlx J";)r(^l^ vgrl r.,ru , * qA"âtkottdÀa^^æ ") cs^ nl,t/ eaù-,.r- rlir àr{r .(t\ ;",rr,^- ,^^ "^t*\) o*

r tT l i l^" . r4 i , .

NB ' T B; t ùl*,tû,r"f à,t- rr-

&

. .25 I 6. . - -"- L r r 3 ... -

I 7 gq-"

.h-,^il.ofto^^ NÂ- y\9tÈu^4{

-t{ /a'^'vu''fu^à

tj,qra,i-rru.fu^-.rv rj.^^Xwrat "'F,,Anni4r,t at t4'rytJ.!e-

1yt .xi1*- ,O^ la nn*lt N ,

Page 2: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

q^-q.|'d$'ryJ"CI^"{ e,r+. Wu T.2_Lqrôt la{.ÂXuû/ê.

--...-...-..._-.

Du^. ) art !^- d{",^eÂr^a baa/,utttoe_ à<fu. ,,^da}.totq* o( N Ê ,to' ;'|. tv.uÀlq .l

^ï: ;, -;= P n* *;,f,i,,li.,,,-,th. :î*,,S,!rU^u+o/

Nùto,'j Tyst ,{tÆto.L{a..*

P, Yry :ta^^Àud, l,e- X*^. qtl., I e,Jw.$it 'r\ e tP . ?t- tr,abe_ ,rr,a rx 6a",ttO.,rs^

- ,g TvsPx TYsP, rrH(Pt.r t ro(nf

ç{-I0{- 1\4 Or) r-ê S^( i / P(rr - ' ) : t ! t .z);(i) P trr) = P[a-) eà rr /\/ o- )$i ). .P (trr/ ) rr,

Ur^ ça^. t\ {^dt+ai1€

mî-=uh ^r,t.{co^ d- lV

t%'n*l;,v\îtpu^d

l^r,., .S.Âoru&-À (tS6f) \F fu\,{,r.; 1 r s s r )X-[4ul,L t,,urvAÀt u1a-0 t.Àr'o Àr lrl.]-( | o n , /)iA* au.vq'[ u,.^.-n_ tÀ& à^ LLL^F-k r.aoj, ]"- f*r

rr!*,

y *Y* -a\4^it4rr^,{,r e\h^'.,e4^_!- Jq ,^,1,^<' _nl.tJiC{\ tt{- c-0^^,v\^r ù.c a11p,aû4.xy ùAkL^}_tu/r , tûwwvu,-_<t#æ^k^t*^l k^-t-( E\ l*\t -t

*,rê yA)txn-.Itr--uat -Q,0. *;âur^n- lrt6ùclù.nt , â^u.ru E

,r,i,.vçl,ralter,t t,o S* pù. Ltt,;-"rt Cd^ n àtt"dfû.b{r i^Â^ vû^^ ;ào^,w^ (ts s z1 .

Page 3: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

- r . JL* 5'a"ht (,1 !,lrr\-

^)"a- 4

( lot o 3 ) Lq- r-"\lu (ii)

geJ-,^h.?-1-\V"4<^

arrt- Àr- \<'^,tA( \Ê + I ) ; M^- q,pr,l'l- cv'u,tp,ln,t

^) -{,,0- -rrpta,t.l,ernoV- K^".Uh "

, r l t

y*r*\ aa4;n,n /aJ4r,.4'4"*i,rtc- .,{i b\a Ê x

vtàtunni I ,^-[^^-ô ft*l -

ùr.\tc- Ê Wtô-l.-{w'.4^^f\tu..,,r.- an'\i'r^"çrvùt

Lq^./,r,tx .{À

.e?u,t,t.é,w*

*rÂ\

Sctr'Ata-r^àa ft*) ,"

'1T ert

vA^\^^ t'-

-rùq ut4 ,l , /

lv^^)p'( /v Lt

pn ,'tr.^"f ?r. S Jr,^\A^

o- €- S.,, A,.|.+l-o U

n \r ' l

tlu..t- ffî/ r\rt .

Fltut tp^ (19+T).I

r reF,

P-rq*,usl . -€- àrr I iu È(-)) eL{-1+'-!' ,=-4,**, *+^*Àt"À 4 € t- T YsPto. lXaau- Àr- / 'u ?F*

*r ltU.Iz/rr tta^Àn^À

,3 gn U -f VJ P .+r^ku^u^- àa-. LL Jio"w f'o'x1*<\- - PFtt

r r ld.{- û-

È*, T{o-) e UTySP *! ?(c) e cl4 .- da*i1we- &- v--, porliii).

Ri*g1*""*t , ertu^! u,ot' e ,?lfst

o d,&' € clotfl*i1u<

b.e o-. ?qn- ttn+'I"lu Ic- f4 .l^^^;ga" rr^'r- ù'r- R,- S.,, h r*f, l.n*vea

v,r/) e S^ tl ?(*] = d.* Ptvl:olr, / i .*u P(v) ruil .,1-pç'e')ru)tr g* iiiil; A,n^. v

- < ei rl nt d"/ -) P(v) = P(() uf

) lv,)= P(( ') . t(6"-.1- o( n; d// ùa- . p1"t1 = P(a/, l . t *fu

@ o--o(, .n

Page 4: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

Dt14aùw a ùt..^ nç+,*i xr ttA o\,r 'rr- +.+4 tr-t cnt *.- v,ltrrà f.arc4uz- ,\L fi-f.àe- r^r^.I,ùra- 6p^"r,!-ur&e-,' { i e f'rt-tl

r := ()r i+ i ) n nts l i - l en. i+ L

tqI

crè bt '.a

^q &Y4 ^i'#"t"1 tts t"/^.-{ùLt'.^-' l- J,u:'t,.l;}1;, .*

vocsi,4,o.è q&"twe= .oz.rt t- t qn;"r,-làqj f:1}5 . Dv,".L n,'-tr- J*t .4l4xl

/ , . -^ l l t . , t ' 'n

I

,ft .-q'e It- trl d- ('i), , 'Tl *a.* cÂ1^/a-x Tx-4"^-^<ilh-Cj-w,fi;;" :

,* ^",^It^-;q^

6.(.-j : G.(n-l,RL À^- .\A^-0,,, .^rd,d.-{(,q )^4A a,ft-

I r l - - rv<Pl ' il \__. / , r - r l

P t-" Jn''' sn,

0^- "æ^^LtL d^ J'ê'À^

\a9 J t* .s^"Iio-tt

rqutLI

<1-e

ï

ç -t

\r ,e-- sû{,ô- h|Èbo

Page 5: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

' (r+1/1) ql -=' )o-n.!dTl :0)

,r+à\lr??

E? lb\?lt

bETt fr=cl

, \' Twgy r1lt-^-t t^fl

wn r{^Y}e--lY --".Ynf\

n'"fl"\n*û T

\rtzI r =d

r,r -l d

E

,h

? Ë.s^r re\o vt '*LL,*ït[ttm,r'rf

)"r \ôr4n^ lï.ryj 1îh-4."ff19.Ë ;g*ffffi *#u1"''nù$i{J'e"-æ:2r6.,,1^..^b-l î-' :5l r.^L iiï4 l.a' v".o1.r^r"[ il -\nOq

-t-''nzi'fr.r,-t't 7 X -r4ûlrfrlfrr -vY rÂ\'0tl\ o'''^41f

lrrrt^I? N --1rt1" '-"^"^^

àln ryà -iT

'd w à7:-+wvtwrtw) "t -TTf"

W ryn["\^, i?'"C

uf (rrr (1) : 'e -r',n'\" n$ù* d -

t

' ,t-rh.x.rirl v"ryTryc.rX -a^L,*".7'"'ltt

rh?l-?'t\

r.?6

rè+{Wf- ?'rY

-z h tl ---t-

,ll*. b?tl I €

I

t-ry {el |\ t-d^*nnr

{ôs ç-t^^,W( "rf

rbr ?I

t\

-s,* -wl.",e-, î nyË;ff'T

Page 6: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

,r; ,-, l. ,,; , Ï ,,â

\o ---'-+î.),- -t-lT^'""k -rfiY / fpt"w6f-o wv6

' -)t'UlXVn-[o'' -a'unr6- l*

Y rs/-L (T)4" Y_ , ., S

^ I ?ùoyæm rf +s"

-o"I1^f

+""trh -;b-* /1^'\ 1ffi6ù

\

'faliery',a^n"s, -a^ç --r,.^a.æy1fy I ,--T.f*û "* r#rl" --( --.',,=...ôn"* -à -=-;À

*sÀ.t--? -.JL

,-t'$ d -xr --vîtt\'îrvx {*À -Y\ô ffi\

,*h l"t h ltil - ù

ze\l tetl1T lzbg-, 1

,'.â

? t th tez\ T lU-zt

.l ' ,l tl

- it't ; t rlr., -a- ',i. e \tz -- d

rllz

-

tlt,Àl'V^, zl 2'd''t : -

:g,t tz'Ô tt ,.

-

?lht "?'--d

Page 7: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

e cûf *^a- Jor^^o - 1,7r.. ÈU'..-t- ++

?1 {S** 4, s &, "turw, *.nlcxil*À{^,o

- Sr- r Sp ,

1.M^[ ; Ê: ;- u-t-€s' es?

,uil'nt..-'.tt(+J -- p

A*a"-I x porc^lr"r,| St ùt F va^M,^",b 9, -Uyer.*"ha,.l';utn o ,1,pan-ais.rr,rt*- à,.out-o <t* B r*-tt

\e, }l,ô o\b\t'utk{..0 .

O^. f A \- f À €,tL ''"-L l-+"..,\'!\--1- À^- pt^"",*ia.*.4.-

apc- .p4l+r.t"^e I Xt "*.[Ft \u"-.

^^- -'-4^^f,^4^-

qu^r ot

-tt ^rr^^,â-l,*-

ô,( "'t* y-.,r' -"Àa-f.o"-t t,rt +''""^6'

À /lnj\uÀ.rtk ,..-- .4"hxt1"^.r ,

faûg1 ,t L à.L ^--0,,,r,,lÀi/.re--

tr^"vr* 1'r.,,. ;,.lptt^*el'14,

Q^r--o^a 4È AJ P e B e,L !Lû e So.*f e

,aÀt,r) --- o( aJ. /ùt(^)) :- P?,^r-nio" q{,ô

S.l,ft , W

+ tt i*l

/t[*)., h ^

. <ù

, l

r t\^- v${-f_-l'{l a-t .,1

t 14 *v\^..o\^f L y-"--L ç'*_-L-l ,

i+r j-t â

è^.

* ' , (

P,*,Vr"È{44,l

, rd *.'tr^,F .qflnX

tr

,o!(u ' ) : d) ,

1vt-{_

Page 8: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

?}! Tô \

î-T I pa-r - lv tr+Tl -- P

. ! /._.h :y ,U ? J )-è-{ï

( \ -

r -. 't *\tl I ^u) W t Ly lrr "=6

"r'-t-*,^I v^f --d q)n l1 ' (V f )3 ctwr.T -z'.na+ ; 'îî-."?',ô

? -* S -1o lS ,*r-, ,

1{ ( ->3 O

Yè [u=;3 "T[" >""rrf ;-var ].rre +t ?4,. >nb"

' ltg : [x'g'ttl=+

fb..r'r1=- , fu_l >

(tu'"'tr1ll ,t) ry @ rrr l{L

I lV'-''al ? 1 ---ù"rw

ûzn;XV^tr<ilæ ,î.wf r"Y -\Md3

B f_ -"T -7-wwwfl+/ --tnvn

, ",' "-t q, ,--o-"\.,o-o1.l-

-=\,"ra."ry* cnÀrûÎ cn4)l

b t tgs

tv / ïr--.ro

: (^r) :,

= rlÀ

læt.-É

"lô

(zI

o=Y ----5-ftitt' àïtbf," - o?r,os--?tvn

-1/O E ; ÏO?.rnæ-rrû)

f!""vJ,l"i+ I -+î'g= *tt3

ll/l

1l - / ,-F )-ll , )o : /,rrl rZ \/' [t , r lt ,l

trt*.1t,

m^o"r

"rflï.V!

l{!

?

'qf-1-'t'Urfg.rlÇ

++*ro

çTa

3

.I '.rn,,rcù-r^13

-E ll,l-Îl*lô€

ff 1lo''t^ll' --rr,-*vY-t-v\4O\

Page 9: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

4,9àq*- 1- o^^- t*- oL'^'

Tr = , j i - t i+t

,

^\'ùn.- i pfd

æt _

1--Yso

Bggg SsLç -rr G

-tt.^kt a.A'e--nrc.-Ft..tnx-

l -ys) +,tft" -rT-@ .*1,"*-L\ w.-^r

a1 l \

t4-\lCt q^^- | âl-

I t -

-.(-X.^4i ( )raf)

t**) . Srynrrnu {.*i+t. l

J-- l

r^.( i+L

&"te,."-l- a/tl LL_ 4*"*

,^r.e. ,rf!,^^:.e'.. àr- J4zrt€,a

Page 10: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

Ih_,rn- A

r^^^_ \,rLara.^^_v\rta^,- e,u-

à,/z'^,,À -t-, e,'^_

D / {ts.&--_

4+ Il r r : i+ l i - r.s i+ a

X ior tt{-o

tr

qE4 -<z|r r B> '== lA " B- ' l ' -_ / ' l r p - 1

*Q". 'È '<zi æ1>-t ;È,

r . r L . ,1ù4nt\+{fuv-ï r- t-À- r * [I

-f- / àl.- 4^*à:s,a^a* 1- t ,rr|i

Cw*\\avte, I Fafu,0&q".:e z 5d pFr, , &"a - l IS+

. eaè ",^^...-

",t{r(t-- xC4n t -e*"r-Eprtru-e-- à-Ot Woç'

*^x" "ù -^,;'=- -r**'1æftra.xt

1v.. fl

St, Y A n. Ilr\e/c- ",-J"-;e!- {.u<(

Y"t*î ïY1" ' . ( , ) ) &,,^ l^"rcl (e.vf VFe V (<,F):oJ

CtuË-A- àÀ; yr .rzsirt t t tl+s.-fU&! {, s ùp.- u*.r,*r.f _*1

* ., itl!. 4 t V,.,t^

g V,:r g ^f f i{ "YÈ, , r \Y- "tq a1

cltt.*[ T,!o

'-"-*À

-_- O Ên/4_

Page 11: &ùe-rchristo/Seminaire_de_combinatoire/... · 2009-04-29 · c\&ùe-r 9\ +.1 f\--t.r*aÀ,r^^ /tu Ee-Àr!1 \ùt ,v.r. e Nr -ii-C^,r Lts 1*t e [ryr * l] h-!-ù- = '11' 6i 0.À rr(i+

-!4*g1 s; A , o c $,.r'/ o'u*- {- )*4e'"*" ?' f l

( ï f t tzs> = [RnB- ' l '

Sù ft , S '*.r àLo c'l.^q/4tl- ;i^. t1*' B-i

"^L r".ri "[a't{-- rd.ot*ioYt,'*-e-'

s"r N e ; i lï l Àr'" -n€ A ,_h P(r' 'e Tysr rF -$-,e Èr; ; ' . 'P(TJ= ocn-- l -

z fVS1. D'n"t P=1'

S-tv. l r -* t* '1 = 1 ' Ku^I^ 'u^^1"r- [a1B' l : l ' 0 '

;J'"d*" '.l,'*- P'ea*rYt ere ^Àr - ,ffï

{* \ Rrr),-- a } al \".*^t- ""&*ttit {'t ÀA

^.F;-1*:î,*,rt* i;; i;,):'fr ^*À={dl

Sr^:' - d-' =' { * } o.crr-; = ( I ='l rt I Pcrr) -* x ]'

bo\^c- 1( e ffo B" -=) (Hv), a(rr ')) -- . (a' Ê)

fir")-/,.. *.,*\s.^,,'f 1*r- Ë * =o

t'grtnU*r"fa^^q-L Rtltû*) . G ùrawrioa- "ln^Àro^^Àt* ,, IJL',';,, '

z?'- f A ' Pe.r'r' f

.ryÂn,4u- ffl*-,q Ç'^a,^-:.4, .<z..xk

-^^.u- vg^v\- \e"J.c ...hrt"-u $*ttï

3 o\'0"^a s^ '

ffdil'"-!, _ E *7r,"rtt .1"^.o'çt1*t1,r" ., f TIs" ^ ...

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