e ^ ga . -a4t. .-.\)Aa^... -1:44^. _-4A,1-^* a.ee*+a^r**u . - - PDF document

*'l-i',o. $i p, r'*..u,,,...il-u

2 " Figure 2' Constrai'ecl 'spectral density /1,r; tor the barrier ar r - i and 4 : !,.

'l:5 Li2N

..,,,"i t. $ 1 I 1.''.,;,''":'{ :

F'

i

1*"

* -.i.-'- "t i':''n u"

1 2 i I R )

. t

i 2l

1 . n n f ' " - a

:

e

^

ga .

• a4t.

.-.\)Aa^...

• 1:44^.

_-4A,1-^* a.ee*+a^r**u

Figure

• 6. Constrainetl

3reen is the hisrogram ift:f;::*llll::-:'^:,11-,: 30. rrie barrier is-ar | * 3 rn dorred

• green

is the hisrogram

• f resclled.ig."r;r;.'rvr

1Y

• rvr

: ru' itie barrieris at | * In triangled recl is"rn.-rt,'.orcrinrr rri.r-iL...:- s over an initial 'sample

• f 3 x t05 matri

rrccs (d - rr ,1 t4-.:1 I 1-i,pu-rg""=;*, {', i'i

" ,:,= g3 +."e i"- .,tU T {.. f ;* *{ : *'i,',f',. *j|c. {;';*?} $jt ' t'

In triangled red is rhe rlieorericai di.il;;;*

1 1 . 2 5

4 . 2 . 1 5 0 . 1 0 . c 5 Irigure

• 4. Constrainecl

spectial ciensity I (_r) ibr c : 0. I and { : 14.

g s : € " i . i

nt;$+ $'*4ru***i*r.. { ii. itl.'C*:-.n.et: ,i'{',f 5 I ,.! "J : j:'.j)"r*. 3$** . *,,i ;: , :

• J ' r .

• '"

1 2 1 0

: * . r i

.*-o""+aee6*o.ilro+!u*dk.i_,Jor.*td-

,fit' ,f'

+

;

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'

• f rescaie,i

.ig.r,uoru., *.] ;,"i,"irr*0,. ., J'10' marrices (p : 2). In triangled red is the theorericar ciisrriburion.

f "l a,obiaw

'Ie) =- *l'tzz

+ 2 7 [ g u ' ( "

6'F)= Z.AL*\z+Z-i

z : Lrc*biaw ,t lL,i. Vo^or

• -zza+(ro,*

&f ) liiz'

t?q;-q'(* Fz*,/G)lJ

Figure 5. Rate function O-(;r; c) 0.6, 0.8, 1. See also figure 3. values (from right to left)

• f c : 0.2,0.4,

B 1 0 for the following

V; v", ekf aqb-a,F* e g

{-s*#*p-.*kls?*} sYg

:"Fk", *39 {€rcwJ 4$f Y

r

• (-x

ui

I

nf

i

'l

I

zf

.I

• 1

z--*l

Figure

• 3. Rare

funcion.<$_(-r; t) Gee (36).

Q^, ft) =?l:)

Z* (+-)

G , " ( b = z U n )

'?nol 7*,.+

] 7 ur| [:rtN" +b,J

#(,)={ :[]-l[

Q. (+ ) nn ^tol,.s erctLl +ffit

Tru./ -Vf a^''* "kstALwttoo

( n= r/-

• 4

6 e+-^sh c.rL

vli sLurt

Ga'4tian lalP

V.'slt

• nt

"1. + t^-

f*4 (to",*, *) = et f {- fs **ElN'

t#'J*- & <'{ :etr fa'271€ F N^)

Zr.rt'^L;r.^t/ lr,,-, -!; "J = ex' {-f {1", Z^ #),o"

,,,,:, =zrr(^P (.ry/- fu r)

* *#f ( o. tTF{ . f N"l