메뉴 건너뛰기




Volumn 18, Issue 4, 2008, Pages 1569-1587

Disordered pinning models and copolymers: Beyond annealed bounds

Author keywords

Annealed bounds; Copolymers at selective interfaces; Fractional moments; Pinning and wetting models

Indexed keywords


EID: 52949150809     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/07-AAP496     Document Type: Article
Times cited : (41)

References (29)
  • 1
    • 21344491724 scopus 로고
    • Localization at large disorder and at extreme energies: An elementary derivation
    • MR1244867
    • AIZENMAN, M. and MOLCHANOV, S. (1993). Localization at large disorder and at extreme energies: An elementary derivation. Comm. Math. Phys. 157 245-278. MR1244867
    • (1993) Comm. Math. Phys , vol.157 , pp. 245-278
    • AIZENMAN, M.1    MOLCHANOV, S.2
  • 2
    • 70249096349 scopus 로고    scopus 로고
    • The effect of disorder on polymer depinning transitions
    • ALEXANDER, K. S. (2008). The effect of disorder on polymer depinning transitions. Comm. Math. Phys. 279 117-146.
    • (2008) Comm. Math. Phys , vol.279 , pp. 117-146
    • ALEXANDER, K.S.1
  • 3
    • 33746902440 scopus 로고    scopus 로고
    • Pinning of polymers and interfaces by random potentials
    • MR2244428
    • ALEXANDER, K. S. and SIDORAVICIUS, V. (2006). Pinning of polymers and interfaces by random potentials. Ann. Appl. Probab. 16 636-669. MR2244428
    • (2006) Ann. Appl. Probab , vol.16 , pp. 636-669
    • ALEXANDER, K.S.1    SIDORAVICIUS, V.2
  • 4
    • 0033249373 scopus 로고    scopus 로고
    • A heteropolymer near a linear interface
    • MR1722277
    • BISKUP, M. and DEN HOLLANDER, F. (1999). A heteropolymer near a linear interface. Ann. Appl. Probab. 9 668-687. MR1722277
    • (1999) Ann. Appl. Probab , vol.9 , pp. 668-687
    • BISKUP, M.1    DEN HOLLANDER, F.2
  • 5
    • 10344255695 scopus 로고    scopus 로고
    • On the localization transition of random copolymers near selective interfaces
    • MR2107896
    • BODINEAU, T. and GIACOMIN, G. (2004). On the localization transition of random copolymers near selective interfaces. J. Statist. Phys. 117 801-818. MR2107896
    • (2004) J. Statist. Phys , vol.117 , pp. 801-818
    • BODINEAU, T.1    GIACOMIN, G.2
  • 6
    • 52949109632 scopus 로고    scopus 로고
    • BOLTHAUSEN, E., CARAVENNA, F. and DE TILIÈRE, B. (2007). The quenched critical point of a diluted disordered polymer model. Preprint. ArXiv:math.0711.0141v1 [math.PR].
    • BOLTHAUSEN, E., CARAVENNA, F. and DE TILIÈRE, B. (2007). The quenched critical point of a diluted disordered polymer model. Preprint. ArXiv:math.0711.0141v1 [math.PR].
  • 7
    • 0031506863 scopus 로고    scopus 로고
    • Localization transition for a polymer near an interface
    • MR 1457622
    • BOLTHAUSEN, E. and DEN HOLLANDER, F. (1997). Localization transition for a polymer near an interface. Ann. Probab. 25 1334-1366. MR 1457622
    • (1997) Ann. Probab , vol.25 , pp. 1334-1366
    • BOLTHAUSEN, E.1    DEN HOLLANDER, F.2
  • 8
    • 21144476720 scopus 로고    scopus 로고
    • BUFFET, E., PATRICK, A. and PULÉ, J. V. (1993). Directed polymers on trees: A martingale approach. J. Phys. A 26 1823-1834. MR1220795
    • BUFFET, E., PATRICK, A. and PULÉ, J. V. (1993). Directed polymers on trees: A martingale approach. J. Phys. A 26 1823-1834. MR1220795
  • 9
    • 33645939212 scopus 로고    scopus 로고
    • A numerical approach to copolymers at selective interfaces
    • MR2213950
    • CARAVENNA, F., GIACOMIN, G. and GUBINELLI, M. (2006). A numerical approach to copolymers at selective interfaces. J. Statist. Phys. 122 799-832. MR2213950
    • (2006) J. Statist. Phys , vol.122 , pp. 799-832
    • CARAVENNA, F.1    GIACOMIN, G.2    GUBINELLI, M.3
  • 10
    • 24944431951 scopus 로고    scopus 로고
    • On constrained annealed bounds for pinning and wetting models
    • MR2162817
    • CARAVENNA, F. and GIACOMIN, G. (2005). On constrained annealed bounds for pinning and wetting models. Electron. Comm. Probab. 10 179-189. MR2162817
    • (2005) Electron. Comm. Probab , vol.10 , pp. 179-189
    • CARAVENNA, F.1    GIACOMIN, G.2
  • 11
    • 6144223864 scopus 로고    scopus 로고
    • Denaturation of heterogeneous DNA
    • CULE, D. and HWA, T. (1997). Denaturation of heterogeneous DNA. Phys. Rev. Lett. 79 2375-2378.
    • (1997) Phys. Rev. Lett , vol.79 , pp. 2375-2378
    • CULE, D.1    HWA, T.2
  • 12
    • 0012705088 scopus 로고
    • Effect of disorder on two-dimensional wetting
    • MR1156401
    • DERRIDA, B., HAKIM, V. and VANNIMENIUS, J. (1992). Effect of disorder on two-dimensional wetting. J. Statist. Phys. 66 1189-1213. MR1156401
    • (1992) J. Statist. Phys , vol.66 , pp. 1189-1213
    • DERRIDA, B.1    HAKIM, V.2    VANNIMENIUS, J.3
  • 13
    • 21144477830 scopus 로고
    • Improved bounds for the transition temperature of directed polymers in a finite-dimensional random medium
    • EVANS, M. R. and DERRIDA, B. (1992). Improved bounds for the transition temperature of directed polymers in a finite-dimensional random medium. J. Statist. Phys. 69 427-437.
    • (1992) J. Statist. Phys , vol.69 , pp. 427-437
    • EVANS, M.R.1    DERRIDA, B.2
  • 14
    • 3543012268 scopus 로고    scopus 로고
    • FORGACS, G., LUCK, J. M., NIEUWENHUIZEN, TH. M. and ORLAND, H. (1986). Wetting of a disordered substrate: Exact critical behavior in two dimensions. Phys. Rev. Lett. 57 2184-2187.
    • FORGACS, G., LUCK, J. M., NIEUWENHUIZEN, TH. M. and ORLAND, H. (1986). Wetting of a disordered substrate: Exact critical behavior in two dimensions. Phys. Rev. Lett. 57 2184-2187.
  • 16
    • 84956122025 scopus 로고
    • Localization transition of random chains at interfaces
    • GAREL, T., HUSE, D. A., LEIBLER, S. and ORLAND, H. (1989). Localization transition of random chains at interfaces. Europhys. Lett. 8 9-13.
    • (1989) Europhys. Lett , vol.8 , pp. 9-13
    • GAREL, T.1    HUSE, D.A.2    LEIBLER, S.3    ORLAND, H.4
  • 17
    • 84967538498 scopus 로고    scopus 로고
    • Imperial College Press, World Scientific
    • GIACOMIN, G. (2007). Random Polymer Models. Imperial College Press, World Scientific.
    • (2007) Random Polymer Models
    • GIACOMIN, G.1
  • 18
    • 33745623381 scopus 로고    scopus 로고
    • Smoothing effect of quenched disorder on polymer depinning transitions
    • MR2231963
    • GIACOMIN, G. and TONINELLI, F. L. (2006). Smoothing effect of quenched disorder on polymer depinning transitions. Comm. Math. Phys. 266 1-16. MR2231963
    • (2006) Comm. Math. Phys , vol.266 , pp. 1-16
    • GIACOMIN, G.1    TONINELLI, F.L.2
  • 19
    • 24944489276 scopus 로고    scopus 로고
    • Estimates on path derealization for copolymers at selective interfaces
    • MR2197110
    • GIACOMIN, G. and TONINELLI, F. L. (2005). Estimates on path derealization for copolymers at selective interfaces. Probab. Theory Related Fields 133 464-482. MR2197110
    • (2005) Probab. Theory Related Fields , vol.133 , pp. 464-482
    • GIACOMIN, G.1    TONINELLI, F.L.2
  • 20
    • 33745626464 scopus 로고    scopus 로고
    • The localized phase of disordered copolymers with adsorption
    • MR2249653
    • GIACOMIN, G. and TONINELLI, F. L. (2006). The localized phase of disordered copolymers with adsorption. ALEA 1 149-180. MR2249653
    • (2006) ALEA , vol.1 , pp. 149-180
    • GIACOMIN, G.1    TONINELLI, F.L.2
  • 23
    • 0042974048 scopus 로고
    • Effect of random defects on the critical behaviour of Ising models
    • HARRIS, A. B. (1974). Effect of random defects on the critical behaviour of Ising models. J. Phys. C 7 1671-1692.
    • (1974) J. Phys. C , vol.7 , pp. 1671-1692
    • HARRIS, A.B.1
  • 24
    • 0034351060 scopus 로고    scopus 로고
    • Why is the DNA denaturation transition first order?
    • KAFRI, Y., MUKAMEL, D. and PELITI., L. (2000). Why is the DNA denaturation transition first order? Phys. Rev. Lett. 85 4988-4991.
    • (2000) Phys. Rev. Lett , vol.85 , pp. 4988-4991
    • KAFRI, Y.1    MUKAMEL, D.2    PELITI, L.3
  • 25
    • 0013196970 scopus 로고    scopus 로고
    • On the localization of random heteropolymers at the interface between two selective solvents
    • MONTHUS, C. (2000). On the localization of random heteropolymers at the interface between two selective solvents. Eur. Phys. J. B 13 111-130.
    • (2000) Eur. Phys. J. B , vol.13 , pp. 111-130
    • MONTHUS, C.1
  • 26
    • 0242373810 scopus 로고
    • Statistical mechanics of quenched solid solutions with application to magnetically dilute alloys
    • MR0169647
    • MORITA, T. (1966). Statistical mechanics of quenched solid solutions with application to magnetically dilute alloys. J. Math. Phys. 5 1401-1405. MR0169647
    • (1966) J. Math. Phys , vol.5 , pp. 1401-1405
    • MORITA, T.1
  • 27
    • 7444258632 scopus 로고
    • Boson localization and correlated pinning of superconducting vortex arrays
    • NELSON, D. R. and VINOKUR, V. M. (1993). Boson localization and correlated pinning of superconducting vortex arrays. Phys. Rev. B 48 13060-13097.
    • (1993) Phys. Rev. B , vol.48 , pp. 13060-13097
    • NELSON, D.R.1    VINOKUR, V.M.2
  • 28
    • 34047227132 scopus 로고    scopus 로고
    • Critical properties and finite-size estimates for the depinning transition of directed random polymers
    • MR2311896
    • TONINELLI, F. L. (2007). Critical properties and finite-size estimates for the depinning transition of directed random polymers. J. Statist. Phys. 126 1025-1044. MR2311896
    • (2007) J. Statist. Phys , vol.126 , pp. 1025-1044
    • TONINELLI, F.L.1
  • 29
    • 42449141418 scopus 로고    scopus 로고
    • A replica-coupling approach to disordered pinning models
    • To appear
    • TONINELLI, F. L. (2008). A replica-coupling approach to disordered pinning models. Comm. Math. Phys. To appear.
    • (2008) Comm. Math. Phys
    • TONINELLI, F.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.