G Personální zabezpe ení p ednášející, školitel nebo len oborové rady Název VŠ / sou ásti Slezská univerzita v Opav Filozoficko-p írodov decká fakulta Název SP / SO Fyzika / Teoretická fyzika a astrofyzika Jméno a p íjmení Gabriel Török tituly RNDr., Ph.D. Rok narození 1978 typ a rozsah prac. plný p. do kdy vztahu na VŠ P ednášející ano školitel ano len oborové rady ne Další sou asní zam stnavatelé typ prac. vztahu rozsah P ednášky v p edm tech Numerické metody v relativistické astrofyzice Finální stadia evoluce hv zd Údaje o oboru vzd lání na VŠ a o praxi od absolvování vysoké školy 2003 FPF SU v Opav, Teoretická fyzika, 2003-2008 FPF SU v Opav, Teoretická fyzika a astrofyzika 2006 RNDr. 2008 Ph.D. P ehled o publika ní a další tv r í innosti za posledních 5 let J. HORÁK, M. A. ABRAMOWICZ, P. REBUSCO, G. TÖRÖK: Internal resonance in non-linear disk oscillations and the amplitude evolution of neutron star kilohertz QPOs, accepted by A&A, 2009, p. 6, arxiv:0901.3076v1 Z. STUCHLÍK, G. TÖRÖK, S. HLEDÍK, M. URBANEC: Neutrino trapping in extremely compact objects: I. Efficiency of trapping in the internal Schwarzschild spacetimes, Classical Quantum Gravity, 2009, vol. 26, p. 035003 G. TÖRÖK: Reversal of the amplitude difference of khz QPOs in six atoll sources, Astronomy & Astrophysics, 2009, in press, 0812.4751 Z. STUCHLÍK, A. KOTRLOVÁ, G. TÖRÖK: Black Holes Admitting Strong Resonant Phenomena, Acta Astronomica, 2008, vol. 58, p. 441-461, 0812.4418v1 A. KOTRLOVÁ, Z. STUCHLÍK, G. TÖRÖK: Quasiperiodic oscillations in a strong gravitational field around neutron stars testing braneworld models, Classical and Quantum Gravity, 2008, vol. 25, p. 225016, 0812.0720v1 G. TÖRÖK, P. BAKALA, Z. STUCHLÍK, P. ECH: Modelling the twin peak QPO distribution in the atoll source 4U 1636-53, Acta Astronomica, 2008 G. TÖRÖK, M. A. ABRAMOWICZ, P. BAKALA, M. BURSA, J. HORÁK, W. KLU NIAK, P. REBUSCO, Z. STUCHLÍK: Distribution of Kilohertz QPO Frequencies and Their Ratios in the Atoll Source 4U 1636-53, Acta Astronomica, 2008, vol. 58, p. 15-21 G. TÖRÖK, M. A. ABRAMOWICZ, P. BAKALA, M. BURSA, J. HORÁK, P. REBUSCO, Z. STUCHLÍK: On the origin of clustering of frequency ratios in the atoll source 4U~1636-53, Acta Astronomica, 2008, vol. 58 Z. STUCHLÍK, P. SLANÝ, G. TÖRÖK: Humpy LNRF-velocity profiles in accretion discs orbiting almost extreme Kerr black holes. A possible relation to quasi-periodic oscillations., Astronomy and Astrophysics, 2007, vol. 463, p. 807-816 Z. STUCHLÍK, P. SLANÝ, G. TÖRÖK: LNRF-velocity hump-induced oscillations of a Keplerian disc orbiting near-extreme Kerr black hole: A possible explanation of high-frequency QPOs in GRS 1915+105, Astronomy and Astrophysics, 2007, vol. 470, p. 401-404 G. TÖRÖK, Z. STUCHLÍK, P. BAKALA: A remark about possible unity of the neutron star and black hole high frequency QPOs, Central European Journal of Physics, 2007, vol. 5/4, p. 457 W. KLU NIAK, M. A. ABRAMOWICZ, M. BURSA, G. TÖRÖK: QPOs and resonance in accretion disks, Revista Mexicana de Astronomía y Astrofísica (Serie de Conferencias), 2007, vol. 27, p. 18-25 M. A. ABRAMOWICZ, W. KLU NIAK, M. BURSA, J. HORÁK, P. REBUSCO, G. TÖRÖK: The twin peak QPOs in neutron star and black hole, Revista Mexicana de Astronomía y Astrofísica (Serie de Conferencias), 2007, vol. 27, p. 8-17 M. A. ABRAMOWICZ, D. BARRET, M. BURSA, J. HORÁK, W. KLU NIAK, P. REBUSCO, G. TÖRÖK:
The correlations and anticorrelations in QPO data, Astronomische Nachrichten, 2005, vol. 9, p. 864-866 G. TÖRÖK: A possible 3:2 orbital epicyclic resonance in QPOs frequencies of Sgr A*, Astronomy and Astrophysics, 2005, vol. 440, p. 1-4 G. TÖRÖK, Z. STUCHLÍK: Radial and vertical epicyclic frequencies of Keplerian motion in the field of Kerr naked singularities, Astronomy and Astrophysics, 2005, vol. 437, p. 775-788 G. TÖRÖK, M. A. ABRAMOWICZ, W. KLU NIAK, Z. STUCHLÍK: The orbital resonance model for twin peak khz quasi periodic oscillations, Astronomy and Astrophysics, 2005, vol. 436, p. 1-8 Z. STUCHLÍK, P. SLANÝ, G. TÖRÖK, M. A. ABRAMOWICZ: Aschenbach effect: Unexpected topology changes in the motion of particles and fluids orbiting rapidly rotating Kerr black holes, Physical Review D, 2005, vol. 71, p. 24037-1-9 G. TÖRÖK: QPOs in microquasars and Sgr A*: measuring the black hole spin, Astronomische Nachrichten, 2005, vol. 326, p. 856-860 P ísp vky ve sbornících P. BAKALA, E. ŠRÁMKOVÁ, Z. STUCHLÍK, G. TÖRÖK: On magnetic-field induced non-geodesic corrections to the relativistic precession QPO model, Cool discs hot flows: The varying faces of accreting compact objects, 2008; refereed G. TÖRÖK: 3:2?, Cool discs, hot flows: The varying faces of accreting compact objects, 2008; refereed Z. STUCHLÍK, G. TÖRÖK, P. SLANÝ: Multi-Resonant models of QPOs in black holes and neutron stars, Konferencia o upechoch stelarnej astronomie, 2007, Bezovec, Slovakia Z. STUCHLÍK, P. ERMÁK, G. TÖRÖK, M. URBANEC, P. BAKALA: Genetic Selection of Neutron Star Structure Matching the X-Ray Observations, The 11th World Multi-Conference on Systemics, Cybernetics and Informatics: WMSCI 2007, 2007, Orlando, USA rotating Kerr black holes and a possible relation to epicyclic oscillations, Black Holes from Stars to Galaxies -- Across the Range of Masses., 2006, Prague, Czech Republic rotating Kerr black holes: a possible relation to QPOs, Proceedings of the VI Microquasar Workshop: Microquasars and Beyond., 2006, Como, Italy G. TÖRÖK, M. A. ABRAMOWICZ, Z. STUCHLÍK, E. ŠRÁMKOVÁ: QPOs in microquasars: the spin problem, Binary Stars as Critical Tools & Tests in Contemporary Astrophysics, 2006, p. 724-726, Prague, Czech Republic Z. STUCHLÍK, M. URBANEC, G. TÖRÖK, S. HLEDÍK, J. HLADÍK: Trapping of neutrons in extremely compact stars, Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006, Berlin, Germany rotating Kerr black holes, Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006, Berlin, Germany G. TÖRÖK, M. A. ABRAMOWICZ, W. KLU NIAK, Z. STUCHLÍK, E. ŠRÁMKOVÁ: Non-linear resonance model for black hole and neutron star QPOs: observation and theory, Proceedings of the VI Microquasar Workshop: Microquasars and Beyond., 2006, Como, Italy P. BAKALA, E. ŠRÁMKOVÁ, G. TÖRÖK: Dipole magnetic field on a Schwarzschild background and related epicyclic frequencies, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic Z. STUCHLÍK, A. KOTRLOVÁ, G. TÖRÖK: Multi-resonance models of QPOs, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic Z. STUCHLÍK, P. SLANÝ, G. TÖRÖK: Extended orbital resonance model with hump-induced oscillations, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic G. TÖRÖK, P. BAKALA, Z. STUCHLÍK, P. ECH: Modelling the twin peak QPO distribution in the atoll source 4U 1636-53, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic TÖRÖK, P. BAKALA, Z. STUCHLÍK, E. ŠRÁMKOVÁ: On a multi-resonant origin of high frequency QPOs in the atoll source 4U 1636-53, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic G. TÖRÖK, M. BURSA, J. HORÁK, Z. STUCHLÍK, P. BAKALA: On mutual relation of khz QPOs, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic G. TÖRÖK, Z. STUCHLÍK, P. ERMÁK: Reverse of twin peak khz QPO interrelationship in the six atoll sources, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic M. URBANEC, Z. STUCHLÍK, G. TÖRÖK, P. BAKALA, P. ERMÁK: Neutron star equation of state and QPO observations, Proceedings of RAGtime 8/9, 2006, Hradec nad Moravici, Czech Republic G. TÖRÖK, M. A. ABRAMOWICZ, W. KLU NIAK, Z. STUCHLÍK: A non-linear resonance model for the black hole and neutron star QPOs: theory supported by observations, Albert Einstein Century Conference, 2005, Paris, France, astro-ph/0603847v1
Z. STUCHLÍK, P. SLANÝ, G. TÖRÖK: Toroidal LNRF-velocity profiles in thick accretion discs orbiting rapidly rotating Kerr black holes, Albert Einstein Century Conference, 2005, Paris, France, astro-ph/0605093v1 STUCHLÍK, Z., SLANÝ, P., TÖRÖK, G.: Marginally stable thick discs with gradient inversion of orbital velocity measured in locally non-rotating frames: A mechanism for excitation of oscillations in accretion discs. In S. Hledík and Z. Stuchlík, editors, Proceedings of RAGtime 4/5: Workshops on black holes and neutron star, Opava, 13-15/16-18 Oct/Sep 2002/03, Opava, 2004. Silesian University at Opava. STUCHLÍK, Z., TÖRÖK, G., HLEDÍK, S.: Trapping of neutrinos in extremely compact stars, in S. Hledík and Z. Stuchlík editors, Proceedings of RAGtime 4/5: Workshops on black holes and neutron stars, Opava, 14. 16/13. 15 October 2002/03, Opava, 2004, Silesian University in Opava. ABRAMOWICZ, M. A., KLUZNIAK, W., STUCHLÍK, Z., TÖRÖK, G.: Twin peak QPOs frequencies in microquasars and Sgr A. The resonance and other orbital models, in S. Hledík and Z. Stuchlík editors, Proceedings of RAGtime 4/5: Workshops on black holes and neutron stars, Opava, 14-16/13-15 October 2002/03, Opava, 2004, Silesian University in Opava. Prezentace na konferencích G. TÖRÖK: Relating high-frequency QPOs and neutron-star EOS, Oponentní ízení a zasedání rady CTA, Liblice, Czech Republic, 2009 P. BAKALA, G. TÖRÖK, Z. STUCHLÍK, E. ŠRÁMKOVÁ: Modelling X-Ray Power Spectra Of Hot Spots On Neutron Star Surface And In Thin Accretion Disc, Oponentní ízení a zasedání rady CTA, Liblice, Czech Republic, 2009 G. TÖRÖK: 3:2 ratio in NS X-ray observations: summary of recent progress, RAGTime 10 Workshop on Black Holes and Neutron Stars, Opava, Czech Republic, 2008 A. KOTRLOVÁ, Z. STUCHLÍK, G. TÖRÖK: QPOs In Strong Gravitational Field Around Neutron Stars Testing Braneworld Models, RAGTime 10 Workshop on Black Holes and Neutron Stars, Opava, Czech Republic, 2008 G. TÖRÖK: 3:2 controversy hope for underlying QPO physics, Cool discs, hot flows: The varying faces of accreting compact objects, Funäsdalen, Sweden, 2008 P. BAKALA, E. ŠRÁMKOVÁ, G. TÖRÖK, Z. STUCHLÍK: Dipole magnetic field on the Schwarzschild background and related epicyclic frequencies, Cool discs, hot flows: The varying faces of accreting compact objects, Funäsdalen, Sweden, 2008 G. TÖRÖK: On the amplitudes of NS khz quasiperiodic oscillations, 37th COSPAR Scientific Assembly, Montreal, Canada, 2008 G. TÖRÖK: On orbital models of khz QPOs, YITP Workshop on Quasi-Periodic Oscillations and Time Variabilities of Accretion Flows, Kyoto, Japan, 2007 A. KOTRLOVÁ, Z. STUCHLÍK, G. TÖRÖK: Possible strong resonant phenomena exciting QPOs in some black hole systems, Black Holes in Cracow, Cracow, Poland, 2007 Z. STUCHLÍK, P. SLANÝ, G. TÖRÖK: Black Hole QPO - Extended Resonance Model with Hump-induced Oscillations, Black Holes in Cracow, Cracow, Poland, 2007 G. TÖRÖK, P. BAKALA, Z. STUCHLÍK, E. ŠRÁMKOVÁ, J. HORÁK: On the unity of neutron star and black hole high frequency QPOs, Black Holes in Cracow, Cracow, Poland, 2007 A. KOTRLOVÁ, Z. STUCHLÍK, G. TÖRÖK: Strong resonant phenomena in black hole systems, 18th International Conference on General Relativity and Gravitation, Sydney, Australia, 2007 Z. STUCHLÍK, G. TÖRÖK, P. SLANÝ: Multi-resonant models of quasi-periodic oscillations, 18th International Conference on General Relativity and Gravitation, Sydney, Australia, 2007 P. SLANÝ, Z. STUCHLÍK, G. TÖRÖK: Extended Orbital Resonance Model for HFQPOs in Accretion-Disc Systems with Near-Extreme Kerr Black Hole Candidates, 18th International Conference on General Relativity and Gravitation, Sydney, Australia, 2007 M. URBANEC, Z. STUCHLÍK, G. TÖRÖK, P. BAKALA, P. ERMÁK: Neutron star equations of state limited by QPO observations, 18th International Conference on General Relativity and Gravitation, Sydney, Australia, 2007 G. TÖRÖK, Z. STUCHLÍK, P. BAKALA: On orbital models of khz QPOs in neutron star binaries, RAGtime No.9, Hradec nad Moravici, Czech Republic, 2007 Z. STUCHLÍK, G. TÖRÖK, P. SLANÝ, J. KOVÁ, A. KOTRLOVÁ: Multi-Resonant Models of QPOs in Black holes and Neutron Stars, RAGtime No.9, Hradec nad Moravici, Czech Republic, 2007 P. BAKALA, G. TÖRÖK, Z. STUCHLÍK, E. ŠRÁMKOVÁ: On a multi-resonant origin of high frequency QPOs in the atoll source 4U 1636-53, RAGtime No.9, Hradec nad Moravici, Czech Republic, 2007 M. URBANEC, Z. STUCHLÍK, G. TÖRÖK, P. BAKALA, P. ERMÁK: Neutron Star Equation of State and QPO observations, RAGtime No.9, Hradec nad Moravici, Czech Republic, 2007 P. SLANÝ, Z. STUCHLÍK, G. TÖRÖK: Extedned orbital resonance model applied to QPOs observed in three near-extreme Kerr black hole candidate systems, RAGtime No.9, Hradec nad Moravici, Czech Republic, 2007
Z. STUCHLÍK, P. ERMÁK, G. TÖRÖK, M. URBANEC, P. BAKALA: Genetic Selection of Neutron Star Structure Matching the X-Ray Observations, The 11th World Multi-Conference on Systemics, Orlando, USA, 2007 P. BAKALA, G. TÖRÖK, Z. STUCHLÍK, E. ŠRÁMKOVÁ: On a multi-resonant origin of high frequency QPOs in the atoll source 4U 1636-53, Konferencia o upechoch stelarnej astronomie, Bezovec, Slovakia, 2007 Z. STUCHLÍK, M. URBANEC, G. TÖRÖK, S. HLEDÍK, J. HLADÍK: Trapping of Neutrinos in Extremely Compact Stars, Eleventh Marcel Grossmann Meeting on General Relativity, Berlin, Germany, 2006 rotating Kerr black holes, Eleventh Marcel Grossmann Meeting on General Relativity, Berlin, Germany, 2006 G. TÖRÖK, M. A. ABRAMOWICZ, W. KLU NIAK, Z. STUCHLÍK: Non-linear resonance model for blackhole and neutron-star QPOs, Eleventh Marcel Grossmann Meeting on General Relativity, Berlin, Germany, 2006 Z. STUCHLÍK, M. A. ABRAMOWICZ, W. KLU NIAK, G. TÖRÖK, E. ŠRÁMKOVÁ, P. SLANÝ: Resonances in accretion discs: theory and its observational manifestation, Black Holes: Power behind the Scene, Kathmandu, Nepal, 2006 Z. STUCHLÍK, S. HLEDÍK, M. URBANEC, G. TÖRÖK: Trapping of neutrinos in extremely compact stars, Albert Einstein Century Conference, Paris, France, 2005 G. TÖRÖK, M. A. ABRAMOWICZ, W. KLU NIAK, Z. STUCHLÍK: Orbital resonance models: Test of compatibility for microquasars and Sgr A*, Albert Einstein Century Conference, Paris, France, 2005 M. A. ABRAMOWICZ, D. BARRET, M. BURSA, J. HORÁK, W. KLU NIAK, P. REBUSCO, G. TÖRÖK: The anticorrelation between shift and slope - overlooked property of neutron star QPOs?, RAGtime No.7, Opava, Czech Republic, 2005 Z. STUCHLÍK, P. SLANÝ, G. TÖRÖK: Toroidal LNRF-velocity profiles in thick accretion discs orbiting rapidly rotating Kerr black holes, Albert Einstein Century Conference, Paris, France, 2005 Názvy diserta ních prací, které vedl za posledních 5 let jako školitel P sobení v zahrani í University of Göteborg; NORDITA, Nordic Institute for Theoretical Physics, Sweden; University of Leicester, Leicester; CESR Space Research Laboratory, Toulouse, France; Nicolaus Copernicus Astromical Centre, Warsaw Obor habilita ního nebo jmenovacího ízení nebo ud lení v decké hodnosti Rok ud lení (prof ) Písemný souhlas p ednáš., školitele, lena ob. rady s p sob. v SP v daném rozsahu Ph.D. v oboru Teoretická fyzika a astrofyzika, 2008 Datum ízení na VŠ ohlasy publikací mezinár. tuzem. >60
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`;(0%.-/,/H(1#:/J4J+6&'(/(,2:G(a+**4%. <LL?(_(:4%):(3B3(![(,(01/,2H(V%./,(5A$+&AH(:46#*. $3%I+%4"("0=/+?G.1),"."4.+5,">9O&1,"1?))('>?"-."0('+%4),7I"P"+%> 0%,2:a#*9H(/).4-+$/6#b c(0%,2:a#*9(4(4:d4-*d($1e%4d+"4%.+(f8#:*9u4(e28+a#g(0d4-(-/:+4/&.+,+./h(y#%&g(e#.-4"4j+6&g(+*%.+.).(_(i*%1#&.4-'.(1-4( +4*+$)]969($'8#*9G c(@).4-+$/6#(1-4(,g&4*(f8#:*9u4(e28#*9h(v8/:(1-4(.#6u*+6&4)(*4-e/"+$/6+h(e#.-4"4j++(/(%.'.*9($&)h#d*+6.,9g c(b4,4"#*9(&(*/&"':'*9(%#($:-4]+(+4*+$)]969u4($'8#*9h(!.'.*9(f8/:(1-4(]/:#-*4)(d#$1#a*4%.g c(p,"'h.*9(4:d4-*'($1e%4d+"4%.(&(,a&4*','*9(a+**4%.9($,"'h.2(:e"#i+.g6u($(u"#:+%&/(-/:+/a*9(46u-/*ah(!.'.*9(f8/:(1-4( ]/:#-*4)(D#$1#a*4%.G $O'(/%),"9"-.I&.)?1, Q/(& " I./?+?>.1),I( " )%/(" 3,-%),").":; 6B%)(9.7,I( " 3,-%), " )%/( " =4K+%)," 9K4%7GC"I(4)('>? (I+.'E"0=/+?G.7, F(G"=4K+%),"R0&(STU B%-?)*&H >=-%BH $(40?'"03%4)*5%6,7,I( 4.>=B
!"#"$%&'()*+),"-./%-0%1%),"2"03%4)*5%6,7, 8*-%9":;"<"'(=1*'>?!"#$%&'()*+,#-$+./(,(01/,2 3+"4$45+6&47189-4:4,2:#6&'(5/&)"./ 8*-%9"@$ ;(<=>?(@1"+&4,/*'(5A$+&/ ABC)("."03,6B%), CA*#&(!#&/*+*/ D?>=+E jof-gh(bugfg F(G").&(-%), <LM< >E0"9->H 11G &(-'.I N> 4("G4E O J.+5,"'(=1.'),"-.BK'>).9.>%+C >E0"0&.7H"9->.I= &(-'.I $3%4)*5GE"9"03%4BK>%7I P'&"/:A(#"#&.8+*A(/(E/J*#.+%E)(WR?k(B-/&.+&)E(II(_(P'&"/:A(#"#&.8+*A(/(E/J*#.+%E)(>RWk(P'&"/:A(41.+&A(<R<k(B-/&.+&)E( III(_(P'&"/:A(41.+&A(>RW L4.6%"("(/(&="9-4K+*),").":;"."("0&.M?"(4"./'(+9(9*),":;N"91H"'>=4?."9"4(G>(&'GCB"@$ Z$:2"'*9b <L=M(7(B83([B(0"4E4)6H(T/.#E/.+&/73A$+&/ B-/l#b <L=M(_<L^>(Z`;(0%.-/,/H(/%+%.#*.H(4:D4-*g(/%+%.#*. <L^>(_<L^?(m#4"4J+6&g(1-e$&)E(0%.-/,/H(4:D4-*g(5A$+& <L^?(_<LL<(mAE*'$+)E(0%.-/,/H(%.8#:4h&4"%&g()a+.#" <LL>(_(:4%):H(3B3(![(,(01/,2H(V%./,(5A$+&AH(4:D4-*g(/%+%.#*. $3%I+%4"("0=/+?G.1),"."4.+5,">9O&1,"1?))('>?"-."0('+%4),7I"P"+%> [a#d*9(.#l.a!no@oio@h(cgh(pnt@og(tgb(b4a9./a4,d(%9.2(ik(%.):+]*9(414-ah(01/,/(?>>^!no@oio@h(cgh(pnt@og(tgb(c/-:p/-#(bkk(%.):+]*9(414-ah(01/,/(?>>^!no@oio@h(cgb(p'&"/:a(#"#&.8+*a(/(e/j*#.+%e)k(%.):+]*9(414-ah(01/,/(?>>^!no@oio@h(cgb(p'&"/:a(41.+&ak(%.):+]*9(414-ah(01/,/(?>>^ $O'(/%),"9"-.I&.)?1,?>><7?>>^(KnjOH(q#*#,/H(,2:#6&47,g$&)E*'(a+**4%. <LL?(n-"/*J#*H(O2E#6&4H(18#:*'h&4,'(a+**4%. Q/(& " I./?+?>.1),I( " )%/(" BUGFG ( _ ( B83 ( [B ( 0"4E4)6H ( 0D#6*' ( / ( E/.#E/.+6&'( 3,-%),").":; 6B%)(9.7,I( " 3,-%), " )%/( " =4K+%)," 5A$+&/H(F+J+.'"*9(U4"4J-/5+6&d(E#.4:A 9K4%7GC"I(4)('>? (I+.'E"0=/+?G.7, F(G"=4K+%),"R0&(STU?>>? B%-?)*&H >=-%BH $(40?'"03%4)*5%6,7,I( 4.>=B
!"#"$%&'()*+),"-./%-0%1%),"2"03%4)*5%6,7, 8*-%9":;"<"'(=1*'>?!"#$%&'()*+,#-$+./(,(01/,2 3+"4$45+6&47189-4:4,2:#6&'(5/&)"./ 8*-%9"@$ ;(<=>?(@1"+&4,/*'(5A$+&/ ABC)("."03,6B%), T+-4%"/,(Z/"/ D?>=+E I*JGH(K!6G F(G").&(-%), <LNr >E0"9->H 11G &(-'.I N> 4("G4E >rr>l( &/i:4-4a*2 J.+5,"'(=1.'),"-.BK'>).9.>%+C >E0"0&.7H"9->.I= &(-'.I 0%.-/,%&'()*+,#-$+./(,(0%.-/,2 $3%4)*5GE"9"03%4BK>%7I B-/&.+&)E(I(_(T#6U/*+&/(/(E4"#&)"4,'(5A$+&/(1-4(@1"+&4,/*4)(5A$+&)(>RWk(3A$+&'"*9($'&"/:A(#"#&.-4*+&A(I(?R?k( B-/&.+&)E($#($'&"/:e(#"#&.-4*+&A(I(_(>R?k(3A$+&'"*9($'&"/:A(#"#&.-4*+&A(II(?R?H(B-/&.+&)E($#($'&"/:e(#"#&.-4*+&A(II(?R?k( @1"+&/6#(E28+696U(%A%.dEe(%(BK(<R?k(3A$+&'"*9(E#.4:A(/(1-+*6+1A(E28#*9(,#"+a+*(6U/-/&.#-+$)]9696U(i+,4.*9(1-4%.8#:9(II(_( >R?k(!*9E/a#(/(E28#*9(5A$+&'"*96U(,#"+a+*(<R?k(.#-d**9(6,+a#*9($(E4*+.4-4,'*9(1e:(/(,4:(>R<? L4.6%"("(/(&="9-4K+*),").":;"."("0&.M?"(4"./'(+9(9*),":;N"91H"'>=4?."9"4(G>(&'GCB"@$ Z$:2"'*9b Z`;73!7Fe"*9(%.-4]*+6.,9(/(#"#&.-+5+&/6#H<LrM B-/l#b <Lrr(_(<LrL(\@P!T0(0%.-/,/H(%/EG(4:DG(1-/6G( <LrL(_(<L==(Z`;(0%.-/,/1-/6G(1-4(ZZH(4:DG(/%+%.#*. <L==(_(<L=L(IT@F0!(B-/U/H(%/EG(4:DG(1-/6G(%1#6G( <L=L(_(<LLW(Y!@Z(0%.-/,/H(,2:#6&g(1-/64,*9& <LLW(_(:4%):(0%.-/,%&'()*+,#-$+./H(4:D4-*g(/%+%.#*.?>><(_(:4%):(3B3(![(,(01/,2H(V%./,(5A$+&AH(4:D4-*g(/%+%.#*. $3%I+%4"("0=/+?G.1),"."4.+5,">9O&1,"1?))('>?"-."0('+%4),7I"P"+%> $&%-%)>.7%")."G()V&%'%7I"."'%B?)*3,7I"9"-.I&.)?1,W Z@s@H(TG(B-#$#*./6#b(\#6U*+6&'(,g6U4,/(*#D4(1-/64,*9(,g6U4,/(14,#a:4)(&(1-4%1#-+.2G(Z#"&'(s4E*+6/b([*+,#-$+./( T/.#]/(;#"/H(;/*%&'(;A%.-+6/(_(?>>^ Z@s@H(TG(B-#$#*./6#b(r>("#.(%14"#a*d(6#%.A(&AD#-*#.+&A(/(.-/*$+%.4-)G(Z#"&'(s4E*+6/b([*+,#-$+./(T/.#]/(;#"/H(;/*%&'( ;A%.-+6/(_(?>>^ X+*)GE"9%"'/(&),G=W Z@s@H(TG(r>("#.(%14"#a*d(6#%.A(&AD#-*#.+&A(/(.-/*$+%.4-)G(\#6U*+6&d(,$:#"/,/*+#(]/&4(%fa/%.(,h#4D#6*dU4(,$:#"',/*+/7 /D%.-/&.AG(;/*%&/(;A%.-+6/b([*+,#-$+./(T/.#]/(;#"/(,(;'*%&#](;A%.-+6+H(3/&)"./(1-9-4:*g6U(,#:H(?>>^ Z@s@H(TG(\#6U*+6&' (,g6u4,/ (*#D4 (1-/64,*9(,g6U4,/ (14,#a:4) (&(1-4%1#-+.2G(\#6U*+6&d(,$:#"/,/*+# (]/&4(%fa/%.(,h#4D#6*dU4(,$:#"',/*+/7/D%.-/&.AG(;/*%&/(;A%.-+6/b([*+,#-$+./(T/.#]/(;#"/(,(;'*%&#](;A%.-+6+H(3/&)"./(1-9-4:*g6U(,#:H(?>>^G Y1%/),">%M>W Z@s@H(TGH(!\[KCstoH(PGb(3A$+&'"*9(E#.4:A(/(1-+*6+1A(E28#*9(,#"+a+*(6U/-/&.#-+$)]9696U(i+,4.*9(1-4%.8#:9k(%.):+]*9( 414-AH(01/,/(?>>^ $O'(/%),"9"-.I&.)?1, <L^N(7(V%./,(5A$+&A($#E"+(@&/:G(O/)&H(T4%&,/H(%.'i <L^^(7(@&/:#E+#(,2:(O4,4%+D+-%&H(%.'i <LL>(7(@&/:#E+#(,2:(O4,4%+D+-%&H(%.'i Q/(& " I./?+?>.1),I( " )%/(" K!6G ( 7 ( T28#*9 (,AD-/*g6U ( 5A$+&'"*96U (,#"+a+* ( 18+( 3,-%),").":; 6B%)(9.7,I( " 3,-%), " )%/( " =4K+%)," 1-46#%) ( -4$14]4,'*9 ( U4-*+* (,A%4&4."/&gE (,4:*9E( 9K4%7GC"I(4)('>? 1/1-%&#E (I+.'E"0=/+?G.7, F(G"=4K+%),"R0&(STU <LLN B%-?)*&H >=-%BH $(40?'"03%4)*5%6,7,I(? 4.>=B