Title Lyapounov exponents and meromorphic maps (ComplexDynamics and Related Topics)

Author(s) Thelin, Henry de

Citation 数理解析研究所講究録 (2008), 1586: 1-17

Issue Date 2008-04

URL http://hdl.handle.net/2433/81538

Right

Type Departmental Bulletin Paper

Textversion publisher

Kyoto University

Lyapounov exponents and meromorphic maps

Henry de Th\’elinUniversit\’e de Paris-Sud

Complex Dynamics and Related Topics

Research Institute for Mathematical Sciences, Kyoto University

September 3-6, 2007

数理解析研究所講究録1586巻 2008年 1-17

$L_{\mathfrak{B}^{\alpha}?^{O\cup\hslash oV}}$ $ex_{\uparrow O\cap u^{k_{S}}}$ \mbox{\boldmath $\zeta$}\infty 加 $d$

$mmn\}\phi f^{b\iota}$ $N^{S}$

$O^{1}$

;

$l^{y_{l}}W)$ &b $P^{ae\text{ト}}$$\mu_{\check{l}^{\vee}}A|e$「 $ffia\cap i\oint 0\mathfrak{l}d$ $of$

み–\sim 。。 血.

$f$ : $\crossarrow\cross$ doni $\mathfrak{n}a\vdash_{t}\prime n5$, $Mromo\tau p^{h_{\ell C}}$

.$mp$

$-::_{x_{P}}\vee\vee$$\vdash k$ $\mathfrak{l}.nk\vdash bmjoqc_{3}gp\vdash$ $of$ $\oint$ .

..

$\zeta f-$. $\succ\ltimes$ $Cri$ ト i $c_{\alpha}\dagger$ S\ell ト $0\iota$ $f$.

$w^{O_{rightarrow}}-$

$f^{\text{衡}}$ (♂ゆ^ 幽

$0_{\backslash }^{\zeta}e_{\zeta}b=A_{m}^{\cdot}\cross$

娠礁

$@:.s\mathfrak{B}_{:\prime}\mathfrak{i}\overline{\sim}5\beta^{1}$

. $(w^{p}1$ A $w^{b-P}$

.. $\cdot\cdot\Phi_{::}.\cdot:::|\S.’\theta\alpha_{j}\theta*\cdot.\cdot.R_{\ell’}^{*}.’*\triangleleft:a..‘ l^{*\phi}.\cdot s^{v}*m_{d_{:}k\prime}$

$lkiS\iota_{S}$.$l S_{C}..\{\oint^{A}\}\}^{1/A}$

.$C^{\vee}$

$h;s$ . $l_{ini}\triangleright$

$Cbj\hslash.A$. $us;\epsilon_{\%}\}$

2

$\gamma_{--\text{自}}\sim$

$( g\int_{\Re\vee u_{J}b_{j};}arrow t_{CJs,p\Gamma-}..G\prime omo\nu]$ $Oe$

$ff^{s}\epsilon_{3}d_{T}$. $\dagger’ SC*C\alpha V\theta$ .

$x\vdash$ $|.r*p^{\mathfrak{l}_{I^{\alpha}}\ell S}$$\vdash Aa\vdash$

$\vdash\ltimes$

$I_{0O}b$ $|ib\rho$ :

$*no1\text{加_{}2}.ca$$[$

$k_{3’}w$

.... $\underline{c}d_{S}\geq d_{S*\downarrow}\geq$

$A_{\overline{\sim}}s^{4^{d_{4}}}\epsilon$ $..\sim\underline{\wedge}*$

:.

$\cdot,\ovalbox{\tt\small REJECT}_{kf_{tnl^{j}}p^{b_{\}c}}\epsilon_{wa*r_{:}^{1v:}}’\#\cdot.*d_{0^{b4’}}\prime^{hsn}‘.0\iota\Phi\downarrow p^{b}\sigma f$

轟響鯉 $d\geq 2$

$\angle^{d_{(}\overline{.}d^{ed_{l^{\iota}}d^{\iota^{l}}}}\sim..\cdot$

. $\angle d_{k\overline{-}}d^{k}$

九\tilde - $\iota$

$\bullet$

$*$$bi\ulcorner q\vdash_{tO\hslash q}.\dagger na_{f}op_{Ctf^{lo}}\iota\ s^{rud\geq P}$

$\not\in a1_{\Psi^{L,ica\mathfrak{l}I_{\mathfrak{h}}}}$Sト q6[e

$.k_{:}. \frac{}{.}.‘ g^{t^{ds\sim d_{\succ}}}..d_{g\backslash 4}$.

3

$H^{1_{1}}$ fin $f_{fl}\cdot\cdot n$ :

$\alpha|\tau_{\delta}r^{1 S^{i\ \dagger}}m\mathfrak{t}_{.w},r3’$.

$\cap\theta k$

$A(f^{((\iota 1_{(}P^{t}(\mathfrak{b}^{1}}.)$.

$d_{\cap}Q_{t}3|:_{-}\sim O<c.\underline{<}\cap-\sim_{J}\mathfrak{l}$

$FI^{\cdotS}\mathfrak{a}\zeta n_{t}SI-re\rho a\ulcorner a^{\text{ト}}eds4|.\oint$

$\forall l’\iota^{\epsilon F}$

$\alpha\neq_{3}=>d_{n}(x_{i}\Im^{1}\geq S$ .

. , .... $1_{\wedge}^{\dot{c}t}\triangleright|$ $*\ell_{4.1}^{t}.\ldots..$. $*r^{-\iota_{(X)}}$

$l*$

$t^{u}$$\ldots$

-.

$.ff^{*}\downarrow lq|k$.$* \oint‘.l\eta$ } $\cdot\cdot.\cdot$

. $* \int^{\mathfrak{n}\cdot\iota}.1g\}$

$I\geq S$

$b_{\vdash op}\not\in::[:_{-}-s\cdot PS>\circ\Gamma_{r\eta}.\frac{1}{0}t_{\mathfrak{J}}\alpha ax\{\ rd F_{l}F$

$\iota \mathfrak{n},\S 1arrow\sigma e\rho q\prime_{\theta}k/$

$\vdash\phi?^{e}|_{0}\iota_{\delta?3}^{jc\epsilon}|\uparrow*\}$

,

$ga\vdash\}$ .

$\underline{\tau k}$ $fGr\phi bl\Psi$ : $A_{\theta}t_{0^{m_{0’’}}}A\cdot.\iota$ $c\triangleleft e$

$\mathfrak{B}h^{*_{\alpha}}S_{1bn*s}^{\cdot}$ ;$dn^{m\epsilon\prime}r^{hi_{C}}c\epsilon se]$

$|. \int_{\Re}.\cdot\xi\.\cdot\}$

$\kappa_{:}r_{k}\sim\#\#$

$\_{3}d_{P}\triangleright$

.

$h_{*r\alpha A}^{M^{\bigwedge_{1}’*\{}}$

4

$,b^{:}1,’\hslash\not\in b_{\mathfrak{X}}$ $a_{\eta}\mathfrak{t}_{i\Phi f3}$ :$o_{4}$

$\mu$ ffl $\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT} SM$ $\Gamma^{lT}f^{f}\overline{-}O$

$\# r\neg-r$$\iota$’ $\iota.S$

$i\eta\sqrt{}\phi\Gamma\iota.A\vdash)$

$8_{\mathfrak{n}}(X_{l}S)$$\overline{\sim}bq||$ &i $\mathfrak{t}_{h}$ $ukr$ $X\infty$

$\ulcorner a$

.$di\cdot S$ $S$ $f^{or}\triangleright km^{\rho}t,’.Cd_{\mathfrak{n}}$

$A_{r_{t}^{\downarrow\beta 1}}i--$$S\vee p\xi>0$

$\ \cdot-\frac{1}{n}$. $p_{Q}3rg_{n}c\alpha,$

$\sigma\}$

$N$ ト l‘.C $X$$\Psi^{prjC}F^{\gamma}$ ’

$\Re t_{S}\prime ae$

$(g_{\Gamma^{1\cap-}}\cdot b^{\text{ト_{}O}b)}$

$:\prime ffi::|\infty i$

$b_{\mu^{\{}}p\{\zeta k_{b_{f}}[f^{1}$

5

$O5$

$k\eta X$ $Aom;na\psi_{i_{A}}3$ $hl\gamma_{\theta}n\delta\gamma P^{h,\iota}$ $jhQP$

($X_{t}$ ut $c\ell\gamma\kappa r^{\delta C}\vdash$$\hslash^{\vee}k-1^{p,}$ $monj\beta^{1d}$ $A.re_{0\zeta,0\eta}.b$

.. $\vee pd_{S\dashv}$

ご $d_{S}\searrow d_{S*Ig}$

..

$|-$.

$do^{<^{d_{I^{\vee}}^{\angle}}}$

.$...\geq_{d_{h}}$

$halum_{Q\prime}p\mathfrak{b}:\subset ud\epsilon r\mathfrak{n}_{\theta l}\phi i\lrcorner\infty S^{\circ}f_{4_{6^{t\ovalbox{\tt\small REJECT}}}d\geq 2}^{c_{l}rb}o\ell$

$d_{P^{\approx}}d^{P}$

$S’-h$ $t.\hslash\kappa_{iS}C\sim\theta e$ .$iAqr,\cdot\varpi^{\ovalbox{\tt\small REJECT}},$ $\ell r_{3^{A_{C}}}$

.$|..\cdot\mu_{1}$ .

$\cdot M\# ikr$ $\theta$$M^{\Phi S^{\prime f}}$ ’

$w_{l}’\h$ $p_{\eta}$ A $\{\cdot\iota \mathcal{I}i^{\mu}\sim^{q)\epsilon}\angle^{l}l_{\Gamma^{1}}$

$M$

丑 $\uparrow$

$\mathfrak{a}euXar_{\mathfrak{h}}$

$b^{\eta}A^{4_{1}\cdot 0\alpha}$.

$*r*$ p鳥;S }$\rho\eta Q$

$0t$$\vdash k$ $L_{3^{1}p^{0\sim}}no’\nu$

$e*P^{o^{W\}}J}$

$*\phi>k_{l}\geq\cdot\cdot\sim$ $\geq*>rightarrow\infty$

$-,$

$/\mapsto:;ffi_{j}.\cdot\cdot:..t_{:l}^{j}:q_{::}’.|\#_{1}..g_{!}’$

.$.b\not\in\S\{..f .\mathfrak{g}^{d_{S}^{:}}$

$binb_{rK’k\mathfrak{n}},u$

6

$G\epsilon$

$xf$ $\epsilon\mu*[>$ 爾\mbox{\boldmath $\lambda$} $lfi^{4t}.$ , $p_{\iota_{3^{d_{Sf^{j1}}}}}$

$l\infty$ $b_{\gamma^{l\int]}}>m$. $\rho_{0}d_{b\eta}3$ $i\ell$ $s\simeq L$ $\int$

$Th*$ :

$X_{I}\geq\cdot\cdot\cdot$ . $\geq x_{S}>^{J}1$$(h_{r^{(f]}}rightarrow\ _{3}A_{t}\text{臼})>0$

$0> \frac{1}{l}[k_{3^{A_{S+\mathfrak{l}}rightarrow A}}r^{(}f|]\geq.k_{S\#}\geq\cdot..\geq\}l$

$.m,$$f^{a;^{ki\alpha far}}m^{A}s\uparrow\ell rboI_{C}^{\backslash },$

.

$b^{l^{1e}\cdot lx_{S}}>O$$\infty$

$SA^{\cdot}tec^{\}}ir3$ $u,kA\ell k\ell\infty S,\cdot on$

$a>b\geq..a\#\approx$ $\mathfrak{t}-s$ $p_{cp}$.eト io $ns$$\mu^{-\triangleright(}$,

$c_{0\wedge}\vdash_{rcc}$ ト,$\cdot$ ,め.

$\underline{.\theta f^{i}}$

$T\oint$ $k_{r^{(}\text{」}}|--\ell_{\Im}A_{S}$

$k_{t}\triangleright\cdots\cdot\geq\kappa_{S}\underline{\triangleright}\frac{[}{1}$$e_{3}\tau_{\sigma\triangleleft}^{S}\lambda>O$

$G>J\epsilon q\ :l_{S}\geq k_{n\iota}$垂... $*\forall \mathfrak{i}$

$:.:|^{:}.\cdot|:_{t}|R::\sim w.;:*p$$b.\# l\hslash l_{S}$

.$Wt^{\ell}rk_{P}$ .

7

$O\not\in$

$g$wllllh $.i.\#\#\xi k^{n}$en $icr|\sigma_{9^{S^{\},m}S}}\infty d$

.’ $\cdot.\cdot rr$$:d_{:}i.\iota l$ $\epsilon\alpha t,.\iota\oint_{3}$ $\ h_{Jr\circ}k\ Sj S\circ\oint$

$*u\gamma_{\phi}\ovalbox{\tt\small REJECT}\alpha r_{b}|\bullet$

$\bullet k^{[\circ \mathfrak{w}\prime}\rho^{\mathfrak{b}_{j}\cdot c}hf_{0}mo\prime f^{A_{j5^{n}S}}$ of $\mathbb{C}\cdot r^{b}$

.

of $\ \mathfrak{g}^{\dot{r}k}d72$

k–l$<A_{\iota\sim}d^{\angle:}\sim..<4:d^{b}$

$\mu\overline{\sim}\sim_{r}t.f\#V^{lT1^{*}m^{\text{ト}Pr}}\zeta_{lm}N^{4S\cdot rp(F_{\circ tn\alpha s_{J^{-S,boO}}}}\prime rdy^{\circ A\dot{c}}\Re^{A(sl_{f^{\text{、}64\sim}}}.,$

.

.. $\Re$ $$\hslash.\cdot;.\Psi^{riC}r^{in}\vdash$

$\{_{6a^{-}d-\tau^{\mathfrak{n}}}t\mathfrak{D}’.|\mathfrak{n}hS/\cdot kp.m^{1)}I^{\cdot}$

.

$.: \cdot,ff\int P^{|\alpha:\backslash \underline{arrow}4}xa_{i}\sim\mu$$d^{b}\overline{\sim}\vdash {}^{t}f^{\delta}l_{l}S’.c_{\partial}($

$A_{6^{J*}}4*$

叶 i $c_{t\partial nov}/b’,ri-r^{\rho}$–む 藤融ト 3 $cb^{\sim}$,

$-_{k_{\mu^{(}}f^{1-}}-\beta\ _{1}\sim$$4^{A^{t_{\overline{\sim}}}e_{0}}3^{A_{t}}$ .

ffi. $mwb\vdash 4\omega_{9}[1_{\epsilon’ \text{ブ}}$

鴫穎 $*\cdot\iota\bullet rM\geq 4l$

.

$q_{F^{1}}^{d^{k_{\backslash }}}$. $\frac{\mathfrak{l}}{l}p_{q^{d}}$

$A\mathfrak{M}\mu_{nd}$ 幽 ,$I_{\overline{V}\prime}’ M..\Re 4\sim..:i^{t}S$,

$l^{*}W^{1t\}}\S.\text{噸}$

8

$\alpha$$X\Phi’\gamma^{f\alpha^{\}_{j}}W}$

,偏 $O8$

$\beta:k\neg^{\lambda}$

.$dm’.n1\vdash,\dot{\mathfrak{n}}_{3}dr\iota hl’\gamma^{k:c}n_{a_{P}}$

$\psi i^{\}\ltimes}d_{b\prime}\succ d_{f\prec}\geq\cdots$ . $\geq do\sim\sim|$.

$G\circ eA_{J}^{\cdot}$

$c\sigma_{n}s^{\}\mathfrak{b}\ell d}"$ an $i\dot{n}\Phi^{arjM}3^{oAc}\vdash\ell’$.

$\mu as\cdot rPr$

$u\vdash b\rho_{0_{3}}d(t,R)\epsilon\angle^{4}(r]$

$\mu A$$A,(f^{I_{\overline{\vee}}*d\mu}\cdot$

$w r^{\}k_{t}q}.\{S\approx^{\mathfrak{t}I}\sim\bigvee_{l}\geq\cdots\cdot\geq\cross l\geq ll_{1}o\frac{dt}{d\mathfrak{t}_{\vee}}>0\angle 1$

$\triangleleft h:s|.3k4\ J_{j}^{\prime \mathfrak{l}}\sigma\sigma.u_{t^{v\bullet}}|_{i}\iota_{3\prime}$.

$\bullet$

$fre3daer\iota_{\ell^{\prime a}}.\vdash_{io\hslash\delta}\dagger\kappa a_{\ell}\circ\beta \mathfrak{c}r^{b}$

$(n.\rho k\sim\sigma:b\circ\dot{n}_{]})$

$\tau h\infty s^{\},}$.tト\ell d $\alpha$ in $V^{lt_{t}m\vdash}.p_{j^{o}}\prime A.e$

$\mu asv\prime er$$1k^{|4k}p_{3}$ dtx, $R|e\iota^{\iota}(\gamma l$

$\mu d\alpha\cdot\vdash k\wedge rkj\mu\epsilon tut,\epsilon C$

$w’\sim r^{l}..Sb_{J^{f^{p_{\Gamma}k1,\cdot c}}}$

.

$n.\Re^{1\Re_{\Phi}\cdot\prime}.a\cdot*:,M\phi^{q_{\dot{l}}}..‘\cdot.kd_{l\cdot\sim 1’}.\ell^{h_{iC}}u^{\mathfrak{t}_{l\wedge\iota\prime}}f^{h;S^{*\}}$

$3. \alpha_{1}’\ovalbox{\tt\small REJECT}^{\vee\ f\cdot\alpha t}..n \alpha\aleph‘\oint pf.1_{S^{(\otimes u_{\hslash}}3}.,’\alpha h.Sik\}\ldots.$ ,

9

$\rho_{\overline{\sim}}$ な sl ui餓$\emptyset\approx\emptyset(S1$

$::_{:}..::.-:_{u^{*}} \cdot l1t\nu:*\hslash_{M\sim 1},.>x_{S}\oint^{\vee\bigvee_{J^{\sim}}\cdot\cdots\simeq}\backslash ..\sim.Y_{S^{\mu^{\iota}}}>X_{S\mu_{k\downarrow}^{c}}\sim\sim\succ...>\cross_{k}$

: $\S..\#|$ $-P\vee \sim 4 $t.t$ $\lambda_{t^{-}}\cdot\cdots\overline{\sim}x_{S}$

$rs.d\overline{.}k$ $i\{$ $\kappa_{f}\sim$. $..\sim\underline{\sim}\succ t$$)$

$r_{k\hslash}$

$k_{r^{(}}f^{1}\zeta\backslash$ $mak$$o_{\vee}eq_{\sim}^{\xi.\zeta_{\sim}p_{\vee}1}p_{0}3^{d_{\triangleleft}}+zx_{s_{\vee}^{*}f}$

$\text{季}\cdot..’+\not\supset Y_{t^{4}}$

$X_{\dot{C}}^{*}\approx$ へ $q\chi$ ( $\chi_{\tau}.$ o)

$t_{t^{\xi.\#}}..\cdot\not\in’\omega_{\#,\tau_{1}^{gt}}^{\alpha\iota_{i}q\not\in}\hslash$

:

$-zx_{I}-$ –... $rightarrow z\overline{*}($ .

$\mathfrak{X}_{R}^{r_{\overline{\alpha}}}m_{\iota}^{l}..\cdot\hslash$ .$\mathfrak{c}_{ti_{l}}$ a $\}$ ,

10

$@$

$\ *P$:$k$ $Mlnw\Phi*tim\vdash p_{s^{aA\dot{\mathfrak{c}}}}$’ ne句 $O\prime e$

$\rho_{\delta}3d\{\iota,R\}.\xi\angle^{t}1r^{J}$

$h,(f^{|{}_{\backslash }CLk^{\dotplus},+}\cdot\cdot\cdot\cdot+2y_{k}*$

$(\ z||_{\ell^{\tau}S}.t..Nr^{a^{1,\triangleright}}3)$

ト dk $S^{\underline{\backslash }4}/\eta*\vdash kI^{j,s\vdash}$$l’\sim qC1jk_{J}$

$d$。

$\sim-14$ .

2 $Y_{i}^{-}$

$s_{ir\Psi\hslash t}$

$b^{\ell 1\downarrow e^{\iota}S}*lu_{\psi}|j\iota_{3}1\{$

$s_{\overline{r}}\mathfrak{b}$ $t^{e_{A}}k$ s&*d $\acute{l}uq\mu a|;\nu_{3}r$

11

$fm\xi 4\mathbb{A}$ $f^{Clioq}$$6k_{0^{rp\eta}}$

$A_{t}\approx \mathfrak{t}^{\ell d_{l^{u}}}l\cdot.,$

$4d_{f\triangleleft}\sim$

箇$d_{S}>_{ds*\}}a...\underline{>}d_{b}$

$\alpha uaS.t0(.$$|.\eta_{W’/\infty}-\vdash l\prime s^{04c}$

.

$\alpha i\triangleright h$$fl^{d^{(}\alpha_{\iota}R|}\epsilon\angle^{4}(\mu|$

$kr^{\mathfrak{c}f^{1>}}\text{き^{}\mathfrak{q}}>C\text{う^{}\lambda_{Srightarrow t}}$

$ll_{3}d\sigma\mu|$

$\overline{\sim}S$, $|- sk_{3^{f^{k}}}$し。 $|_{\iota C}$

.$0>\vee\sigma_{t\mathfrak{l}}\geq\cdot..\geq\eta$

$h^{3}\cdot\cdot>kt^{\succ O}$

$.Ah_{:}-$.

$\cdot:^{l}$

.$\alpha l_{:}^{:fl^{j}\mu}.$.

$w_{S}{}_{\backslash }CO$

$\oint*rn4\# 1a$ !

$x_{S-f}^{\downarrow}\sim*\cdots--$

$\chi_{S}^{+}-rightarrow 0\overline{\sim}..-$

$\overline{\sim}\cross t$

$0\geq\cross\sigma\sim Iarrow...\wedge\sim\sim*\geq\cdots\vee\sim’\eta$

$b4CwfP$

$p_{3}od_{S\sim 1}\angle A_{r^{1\oint]}}$$<-$

$\rho_{\eta}d_{Srightarrow t_{\vee \mathfrak{l}}}\swarrow\vee p_{q^{d_{S\sim \mathfrak{l}}}}$

桐 cm $k_{l}A\epsilon on,\cdot\vdash_{t}.$ .

$*$ $w_{S}..\cdot wa$

$.fi^{:ffl}^{\kappa}:B^{\cdot}\S$ ffi. $rr\epsilon*d$ $f^{\nu n_{V}\mathfrak{i}_{V}}$

$*^{1}i\aleph S\approx$ 歌\div イ

$\sim$ $\kappa_{f\#}4$ .

12

$O||$

$b$ $q_{R}s_{\iota’’}^{n}$ $C^{q}$ se :

$g_{\}t^{g_{t\iota}}.\sigma.\{$

13

$Ot_{2}$

$n_{8}\triangleright*_{\},$, $f\hslash fltl\vee s$, A $\theta 44$ oc2 $M\zeta q$ の

$emf\sim\iota b\theta\hslash w\alpha$ re $r\otimes kih^{\alpha}klAb\{e$

$\sim n/\cdot\phi^{1l}$

$\psi^{S}t\alpha‘\cdot|$ $A.-R,b4$$w^{S\zeta x_{\iota}|}$

.$\overline{\uparrow\alpha,-}$ 4

$’.-!_{:}.\cdot\not\in \mathfrak{i}an^{pk,\int_{\iota\cdot-\mathfrak{n}-1}(\ltimes^{5}\alpha:||_{\vee}^{e_{B}}}\propto.0^{\cdot}1S$

$\underline{\backslash }Q^{-l^{\phi_{3^{\cap}}}}a\prime e_{\theta}$

$\epsilon_{0}\alpha_{l}1,\cdot:e$$\xi b_{a}\mathfrak{t}$

$l$

$\Psi$

エ; 議\tau,.

撒$\text{為}I.it$

$|$.麟

$.se\epsilon 43^{r_{\wedge}}P^{h}$$\ovalbox{\tt\small REJECT}_{mJ}$ .

$\sim\# rM$ :

$ov\prime\prime g4$

$\backslash ^{\iota_{ki^{\iota}d\prime\prime c^{l_{\dot{\phi}n}}}}\cdot$.

$\sigma jt\ell$

$\mathfrak{h}$

$\kappa_{I}>X_{Z}$

$|.q$$ka_{\vee}^{\zeta}\prec M$

$k$ a $\omega\vdash_{a},n$

$\propto,p$ $\omega_{\dot{r}}$ 1 $\ell^{\alpha r}\triangleright \mathfrak{l}^{\wedge}.$

.$a$

$\triangleright\searrow$ $Qf$$\sigma jf\rho$ $\epsilon_{14}$

1

14

$\Re$ $sb_{\ovalbox{\tt\small REJECT}\beta}.f\theta 3^{\alpha n}bk_{\ell\int}.P^{rouSS}$

$.r*\backslash u\#\mathfrak{l}$ $\phi\cdot q\mu kt;jfl$

$t_{\sim}\sigma_{\sqrt{4}}$ $|\#$$\kappa_{l}\mathcal{E}O$

$\frac{\epsilon}{b}\epsilon^{-\bigvee_{l}\Uparrow}t.\#$ $k_{l}>O$

$a.r\alpha\underline{q}$$Q^{-Z\bigvee_{\zeta}^{*}\bigcap_{C(\epsilon 1}}$ $k_{l^{-\sim h(*p|}}^{+}$.

$k_{r^{(I^{|n}}}$$of\ell^{\prime\bullet X:r\bullet}\mathfrak{t}\rho$

$\sigma \text{ト_{}\Phi}6l_{f}$

$\sigma$

。$\Psi p$

$k-\cdot e$$\underline{\backslash }e$ $-zk^{*},$. $\cap$

$\mu aeni\#\}A$$\alpha b.\cdot ck$

$b\triangleright\ell$ aceq $\neg\sim$

$Q$ $ct\S]$

15

$*l$ $u\#$

$\#\{$

$f^{i\hslash A}$ a $l_{N}$.$\angle$ $\propto,\cdot h$

’ $L$’ $nw^{s}]$ $1\vee$

$\rho^{A\mu\beta \mathfrak{i}n}.\sim 3\forall z^{*}\cap$

$\mu$

$\mathfrak{g}_{v\approx t\iota}.\int\mu oa$ bo.Se

$d_{\cap}\mathfrak{c}_{\mathfrak{h}^{i}\downarrow}9_{l}^{-1}\geq s_{1z}$

$\xi’..k$$4^{\bullet}ambr’Qf$ $\iota^{p}(\psi^{S_{(J_{J}1}}I_{q_{\overline{\iota}\delta_{l\cdot\cdot\iota}h\sqrt{}}^{\sim\forall}}^{eS\int}$

$..:\cdot.’.M$ $\ ^{:}\mathfrak{g}_{t_{1}}x_{J:}fr\mathfrak{H}$$.f3e\epsilon\epsilon\iota a_{k}n$

.$\triangleleft\ovalbox{\tt\small REJECT}$

$d\{f^{\iota_{\{)_{I}}.\iota_{i}f^{l}t:r_{J}1\cdot\cdot J\cdot*S,}’$

.$\cdot’.\cdot$

16

$015$

$A^{\prime ad*}$

$\oint^{\ell}(02^{5}\iota\alpha_{1}\downarrow[6$ $\xi^{f}[\text{果}$

$\sim\vee$ A $(q^{\ell} \iota_{y’\backslash }\int\ell^{p}\{b_{J}$

.$)| \geq^{S}\int z$ .

$ffi_{!}$,,$f^{\kappa\varphi V\prime d}$

$g^{b\beta S^{1\{\hslash}}.’‘.rightarrow$

$\sim$冫箇$\underline{l}$ $\bigcap_{O}a.\prime f^{*f_{d}}\prime n\bullet 1C^{ar}al^{\rho}\cdot s|.gpf^{ra}ln_{\delta}|,\sim\vdash$

$\sigma_{t}\vdash$

$|\cap\iota_{L}$ .$1\triangleright‘\leq 1d_{\backslash \mu Q}^{A}:_{ls\vdash 4}\#\cdot fki\zeta_{4}mf$

$\vdash k_{\delta\cap}\int or$

$h_{b\ell’}fffi^{s!^{\tau}:}...i_{t_{S}}.\mathfrak{R}_{l}^{r_{q*}}$

.

$(b/\cdot\wedge^{k_{\sim}}J_{t}^{\cdot}b_{0^{\hslash}}\mathfrak{y})$

禾 $L$

17