메뉴 건너뛰기




Volumn 56, Issue 3, 2010, Pages 1345-1350

On the statistical physics of directed polymers in a random medium and their relation to tree codes

Author keywords

Cayley tree; Delay; Directed polymer; Free energy; Partition function; Rate distortion theory; Tree coding

Indexed keywords

CAYLEY TREE; CAYLEY TREES; DELAY; DIRECTED POLYMER; RATE-DISTORTION THEORY;

EID: 77949501971     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2009.2039033     Document Type: Article
Times cited : (1)

References (20)
  • 3
    • 21144476720 scopus 로고
    • Directed polymers on trees: A martingale approach
    • E. Buffet, A. Patrick, and J. V. Pulé, "Directed polymers on trees: A martingale approach," J. Phys. A: Math. Gen., vol.26, pp. 1823-1834, 1993.
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 1823-1834
    • Buffet, E.1    Patrick, A.2    Pulé, J.V.3
  • 4
    • 21244503322 scopus 로고    scopus 로고
    • Probabilistic analysis of directed polymers in a random environment: A review
    • F. Comets, T. Shiga, and N.Yoshida, "Probabilistic analysis of directed polymers in a random environment: A review," Adv. Stud. Pure Math., 2004.
    • (2004) Adv. Stud. Pure Math.
    • Comets, F.1    Shiga, T.2    Yoshida, N.3
  • 5
    • 0000952174 scopus 로고
    • Finite-size effects in random energy models and in the problem of polymers in a random medium
    • J. Cook and B. Derrida, "Finite-size effects in random energy models and in the problem of polymers in a random medium," J. Statist. Phys., vol. 63, no. 3/4, 1991.
    • (1991) J. Statist. Phys. , vol.63 , Issue.3-4
    • Cook, J.1    Derrida, B.2
  • 6
    • 0016615527 scopus 로고
    • On tree coding with a fidelity criterion
    • Jul.
    • C. R. Davis and M. E. Hellman, "On tree coding with a fidelity criterion," IEEE Trans. Inf. Theory, vol.IT-21, pp. 373-378, Jul. 1975.
    • (1975) IEEE Trans. Inf. Theory , vol.IT-21 , pp. 373-378
    • Davis, C.R.1    Hellman, M.E.2
  • 7
    • 0001792037 scopus 로고
    • Directed polymers in a random medium
    • Feb.
    • B. Derrida, "Directed polymers in a random medium," Phys. A, vol.163, pp. 71-84, Feb. 1990.
    • (1990) Phys. A , vol.163 , pp. 71-84
    • Derrida, B.1
  • 8
    • 0003176181 scopus 로고
    • Mean field theory of directed polymers with random complex weights
    • B. Derrida, M. R. Evans, and E. R. Speer, "Mean field theory of directed polymers with random complex weights," Commun. Math. Phys., vol.156, pp. 221-244, 1993.
    • (1993) Commun. Math. Phys. , vol.156 , pp. 221-244
    • Derrida, B.1    Evans, M.R.2    Speer, E.R.3
  • 9
    • 0001044333 scopus 로고
    • Polymers on disordered trees, spin glasses, and traveling waves
    • B. Derrida and H. Spohn, "Polymers on disordered trees, spin glasses, and traveling waves," J. Statist. Phys., vol. 51, no. 5/6, pp. 817-840, 1988.
    • (1988) J. Statist. Phys. , vol.51 , Issue.5-6 , pp. 817-840
    • Derrida, B.1    Spohn, H.2
  • 10
  • 11
    • 21144477830 scopus 로고
    • Improved bounds for the transition temperature of directed polymers in a finite-dimensional random medium
    • M. R. Evans and B. Derrida, "Improved bounds for the transition temperature of directed polymers in a finite-dimensional random medium," J. Statist. Phys., vol. 69, no. 1/2, pp. 427-437, 1992.
    • (1992) J. Statist. Phys. , vol.69 , Issue.1-2 , pp. 427-437
    • Evans, M.R.1    Derrida, B.2
  • 12
    • 0015974314 scopus 로고
    • Tree encoding for symmetric sources with a distortion measure
    • Jan.
    • R. G. Gallager, "Tree encoding for symmetric sources with a distortion measure," IEEE Trans. Inf. Theory, vol.IT-20, pp. 65-76, Jan. 1974.
    • (1974) IEEE Trans. Inf. Theory , vol.IT-20 , pp. 65-76
    • Gallager, R.G.1
  • 14
    • 0014566879 scopus 로고
    • Tree encoding of memoryless time-discrete sources with a fidelity criterion
    • Sep.
    • F. Jelinek, "Tree encoding of memoryless time-discrete sources with a fidelity criterion," IEEE Trans. Inf. Theory, vol.IT-15, pp. 584-590, Sep. 1969.
    • (1969) IEEE Trans. Inf. Theory , vol.IT-15 , pp. 584-590
    • Jelinek, F.1
  • 15
    • 0014973211 scopus 로고
    • Instrumentable tree encoding of information sources
    • Jan.
    • F. Jelinek and J. B. Anderson, "Instrumentable tree encoding of information sources," IEEE Trans. Inf. Theory, vol.IT-17, pp. 118-119, Jan. 1971.
    • (1971) IEEE Trans. Inf. Theory , vol.IT-17 , pp. 118-119
    • Jelinek, F.1    Anderson, J.B.2
  • 16
    • 48849114063 scopus 로고    scopus 로고
    • An identity of Chernoff bounds with an interpretation in statistical physics and applications in information theory
    • Aug.
    • N. Merhav, "An identity of Chernoff bounds with an interpretation in statistical physics and applications in information theory," IEEE Trans. Inf. Theory, vol.54, pp. 3710-3721, Aug. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , pp. 3710-3721
    • Merhav, N.1
  • 19
    • 0001357764 scopus 로고    scopus 로고
    • A remark on high temperature polymer expansion for lattice systems with infinite range pair interactions
    • A. Procacci, B. N. B. de Lima, and B. Scoppola, "A remark on high temperature polymer expansion for lattice systems with infinite range pair interactions," Lett. Math. Phys., vol.45, pp. 303-322, 1998.
    • (1998) Lett. Math. Phys. , vol.45 , pp. 303-322
    • Procacci, A.1    De Lima, B.N.B.2    Scoppola, B.3
  • 20
    • 0028550580 scopus 로고
    • A mapping approach to rate-distortion computation and analysis
    • Nov.
    • K. Rose, "A mapping approach to rate-distortion computation and analysis," IEEE Trans. Inf. Theory, vol.40, pp. 1939-1952, Nov. 1994.
    • (1994) IEEE Trans. Inf. Theory , vol.40 , pp. 1939-1952
    • Rose, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.