" : t q . " . - - i *'l-i',o. $ 1 I 1.''.,;,''":'{ ..,,,"i t. i i':''n u" : * -.i.-'- "t $i p, r'*..u,,,...il-u 1*" F' j 1 1 . 2 i I n R ) . t i n 2l 4 t ( f r 2 " Figure 2' Constrai'ecl 'spectral density /1,r; tor the r - i and barrier ar 4 : !,. f ' " - a : e ^ ga . -a4t. .-.\)Aa^... -1:44^. _-4A,1-^* a.ee*+a^r**u . 'l:5 Li2N Figure 6. Constrainetl 1Y - rvr 30. rrie : ru' itie barrieris barrier | * 3 rn is the 3reen hisrogram is-ar at | * is the ift:f;::*llll::-:'^:,11-,: -green hisrogram dorred of resclled.ig."r;r;.'rvr s over an initial In triangled 'sample In triangled of 3 x t05 matri red (d - rr recl is"rn.-rt,'.orcrinrr is rhe rrccs rlieorericai rri.r-iL...:- di.il;;;* ,1 t4-.:1 I 1-i,pu-rg""=;*, {', i'i *{ " i"- g3 +."e {.. f ;* : ,:,= T .,tU t' {;';*?} $jt ' *'i,',f',. *j|c.
dJ" :"'. F I 1 1 . 2 5 4 . 2 0 . 1 5 0 . 1 0 . c 5 1 0 1 2 1 A Irigure 4. Constrainecl spectial ciensity I (_r) ibr c : 0. I and { : 14. g s : € " i . i t. : * . r i .*-o""+aee6*o.ilro+!u*dk.i_,Jor.*td- ,fit' ,f' + r:! ; 8 )"/2N r e 8 . C o n . s r r - a i n e d s p e c t r a l d e n s i r y 0 v ( ^ ) t o r r V _ 1 0 . l , I : 1 0 0 ( c : 0 . 1 ) . T h e b a r r i e r i s a r p!' tn.dash-dotted green is rhe histogra' of rescaie,i .ig.r,uoru., *.] ;,"i,"irr*0,. ., J'10' marrices (p : 2). In triangled red is the theorericar ciisrriburion. nt;$+ $'*4ru***i*r.. { ii. "J : 5 I ,.! itl.'C*:-.n.et: ,i'{',f . *,,i j:'.j)"r*. 3$** ;: , : - J ' r . -'" f; **--
a,obiaw "l f --zza+(ro,* =- 'Ie) &f ) liiz' *l'tzz t?q;-q'(* Fz*,/G)lJ + 2 7 [ g u ' ( " Z.AL*\z+Z-i 6'F)= z : Lrc*biaw ,t lL,i. Vo^or
r , a l - (-x ui I nf 'l i I zf .I 1 z--*l - Figure 3. Rare funcion.<$_(-r; t) Gee (36). B 1 0 Figure 5. Rate function O-(;r; c) (from for the following values right to of c : 0.2,0.4, left) 0.6, 0.8, 1. See also figure 3. g V; v", ekf e aqb-a,F* sYg {-s*#*p-.*kls?*} 4$f :"Fk", Y {€rcwJ *39
=?l:) Q^, '?nol 7*,.+ ft) ] Z* (+-) ( n= ( b = z U n ) r/- G , " 6 e+-^sh c.rL - 4 vli sLurt 7 ur| +b,J [:rtN" lalP #(,)={ Ga'4tian :[]-l[ V.'slt ont ) nn ^tol,.s (+ erctLl +ffit t^- Q. "1. + Tru./ -Vf a^''* "kstALwttoo f*4 (to",*, *) = et **ElN' f {- fs t#'J*- & <'{ F N^) :etr fa'271€ lr,,-, -!; "J Zr.rt'^L;r.^t/ = Z^ ex' #),o" {-f {1", fu r) (.ry/- =zrr(^P ,,,,:, * *#f ( o. tTF{ . f N"l
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