메뉴 건너뛰기




Volumn 410, Issue 38-40, 2009, Pages 3670-3684

Overlap-free words and spectra of matrices

Author keywords

Combinatorics on words; Joint spectral radius; Joint spectral subradius; Lyapunov exponent; Overlap free words

Indexed keywords

COMBINATORICS ON WORDS; JOINT SPECTRAL RADIUS; JOINT SPECTRAL SUBRADIUS; LYAPUNOV EXPONENT; OVERLAP-FREE WORDS;

EID: 68349100152     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2009.04.022     Document Type: Article
Times cited : (38)

References (28)
  • 2
    • 20344388775 scopus 로고    scopus 로고
    • Growth of repetition-free words-a review
    • Berstel J. Growth of repetition-free words-a review. Theoretical Computer Science 340 2 (2005) 280-290
    • (2005) Theoretical Computer Science , vol.340 , Issue.2 , pp. 280-290
    • Berstel, J.1
  • 3
    • 33750585976 scopus 로고    scopus 로고
    • On the complexity of computing the capacity of codes that avoid forbidden difference patterns
    • Blondel V.D., Jungers R., and Protasov V. On the complexity of computing the capacity of codes that avoid forbidden difference patterns. IEEE Transactions on Information Theory 52 11 (2006) 5122-5127
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.11 , pp. 5122-5127
    • Blondel, V.D.1    Jungers, R.2    Protasov, V.3
  • 4
    • 33144459424 scopus 로고    scopus 로고
    • Computationally efficient approximations of the joint spectral radius
    • Blondel V.D., and Nesterov Y. Computationally efficient approximations of the joint spectral radius. SIAM Journal of Matrix Analysis 27 1 (2005) 256-272
    • (2005) SIAM Journal of Matrix Analysis , vol.27 , Issue.1 , pp. 256-272
    • Blondel, V.D.1    Nesterov, Y.2
  • 5
    • 7544242371 scopus 로고    scopus 로고
    • On the accuracy of the ellipsoid norm approximation of the joint spectral radius
    • Blondel V.D., Nesterov Y., and Theys J. On the accuracy of the ellipsoid norm approximation of the joint spectral radius. Linear Algebra and its Applications 394 1 (2005) 91-107
    • (2005) Linear Algebra and its Applications , vol.394 , Issue.1 , pp. 91-107
    • Blondel, V.D.1    Nesterov, Y.2    Theys, J.3
  • 6
    • 0030651078 scopus 로고    scopus 로고
    • The Lyapunov exponent and joint spectral radius of pairs of matrices are hard-when not impossible-to compute and to approximate
    • Blondel V.D., and Tsitsiklis J.N. The Lyapunov exponent and joint spectral radius of pairs of matrices are hard-when not impossible-to compute and to approximate. Mathematics of Control, Signals, and Systems 10 (1997) 31-40
    • (1997) Mathematics of Control, Signals, and Systems , vol.10 , pp. 31-40
    • Blondel, V.D.1    Tsitsiklis, J.N.2
  • 7
    • 0034264701 scopus 로고    scopus 로고
    • A survey of computational complexity results in systems and control
    • Blondel V.D., and Tsitsiklis J.N. A survey of computational complexity results in systems and control. Automatica 36 9 (2000) 1249-1274
    • (2000) Automatica , vol.36 , Issue.9 , pp. 1249-1274
    • Blondel, V.D.1    Tsitsiklis, J.N.2
  • 8
    • 38249025096 scopus 로고
    • Enumeration of factors in the Thue-Morse word
    • Brlek S. Enumeration of factors in the Thue-Morse word. Discrete Applied Mathematics 24 (1989) 83-96
    • (1989) Discrete Applied Mathematics , vol.24 , pp. 83-96
    • Brlek, S.1
  • 9
    • 0027624812 scopus 로고
    • Overlap-free words and finite automata
    • Carpi A. Overlap-free words and finite automata. Theoretical Computer Science 115 2 (1993) 243-260
    • (1993) Theoretical Computer Science , vol.115 , Issue.2 , pp. 243-260
    • Carpi, A.1
  • 11
    • 13644255442 scopus 로고    scopus 로고
    • An upper bound for the largest Lyapunov exponent of a Markovian product of nonnegative matrices
    • Gharavi R., and Anantharam V. An upper bound for the largest Lyapunov exponent of a Markovian product of nonnegative matrices. Theoretical Computer Science 332 (2005) 543-557
    • (2005) Theoretical Computer Science , vol.332 , pp. 543-557
    • Gharavi, R.1    Anantharam, V.2
  • 12
    • 68349091922 scopus 로고    scopus 로고
    • The joint spectral radius, theory and applications
    • Springer-Verlag Ed, Berlin, in press
    • R.M. Jungers, The joint spectral radius, theory and applications, in: Springer-Verlag (Ed.), Lecture Notes in Information and Computer Sciences, vol. 385, Berlin, 2009 (in press)
    • (2009) Lecture Notes in Information and Computer Sciences , vol.385
    • Jungers, R.M.1
  • 13
  • 14
    • 40949125172 scopus 로고    scopus 로고
    • Efficient algorithms for deciding the type of growth of products of integer matrices
    • Jungers R.M., Protasov V., and Blondel V.D. Efficient algorithms for deciding the type of growth of products of integer matrices. Linear Algebra and its Applications 428 10 (2008) 2296-2311
    • (2008) Linear Algebra and its Applications , vol.428 , Issue.10 , pp. 2296-2311
    • Jungers, R.M.1    Protasov, V.2    Blondel, V.D.3
  • 15
    • 11144354707 scopus 로고    scopus 로고
    • Polynomial versus exponential growth in repetition-free binary words
    • Karhumäki J., and Shallit J. Polynomial versus exponential growth in repetition-free binary words. Journal of Combinatorial Theory Series A 105 2 (2004) 335-347
    • (2004) Journal of Combinatorial Theory Series A , vol.105 , Issue.2 , pp. 335-347
    • Karhumäki, J.1    Shallit, J.2
  • 16
    • 0041457495 scopus 로고
    • A linear time algorithm to decide whether a binary word contains an overlap
    • Kfoury A.J. A linear time algorithm to decide whether a binary word contains an overlap. Theoretical Informatics and Applications 22 (1988) 135-145
    • (1988) Theoretical Informatics and Applications , vol.22 , pp. 135-145
    • Kfoury, A.J.1
  • 17
    • 38249028908 scopus 로고
    • Enumeration of irreducible binary words
    • Kobayashi Y. Enumeration of irreducible binary words. Discrete Applied Mathematics 20 (1988) 221-232
    • (1988) Discrete Applied Mathematics , vol.20 , pp. 221-232
    • Kobayashi, Y.1
  • 19
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems
    • Oseledets V.I. A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Transactions of the Moscow Mathematical Society 19 (1968) 197-231
    • (1968) Transactions of the Moscow Mathematical Society , vol.19 , pp. 197-231
    • Oseledets, V.I.1
  • 20
    • 40849089385 scopus 로고    scopus 로고
    • Approximation of the joint spectral radius using sum of squares
    • Parrilo P., and Jadbabaie A. Approximation of the joint spectral radius using sum of squares. Linear Algebra and its Applications 428 10 (2008) 2385-2402
    • (2008) Linear Algebra and its Applications , vol.428 , Issue.10 , pp. 2385-2402
    • Parrilo, P.1    Jadbabaie, A.2
  • 21
    • 0001446685 scopus 로고    scopus 로고
    • The joint spectral radius and invariant sets of linear operators
    • Protasov V.Y. The joint spectral radius and invariant sets of linear operators. Fundamentalnaya i prikladnaya matematika 2 1 (1996) 205-231
    • (1996) Fundamentalnaya i prikladnaya matematika , vol.2 , Issue.1 , pp. 205-231
    • Protasov, V.Y.1
  • 22
    • 33144455873 scopus 로고    scopus 로고
    • The generalized spectral radius. A geometric approach
    • Protasov V.Y. The generalized spectral radius. A geometric approach. Izvestiya Mathematics 61 5 (1997) 995-1030
    • (1997) Izvestiya Mathematics , vol.61 , Issue.5 , pp. 995-1030
    • Protasov, V.Y.1
  • 23
    • 0034338840 scopus 로고    scopus 로고
    • On the asymptotics of the partition function
    • Protasov V.Y. On the asymptotics of the partition function. Sbornik Mathematics 191 3-4 (2000) 381-414
    • (2000) Sbornik Mathematics , vol.191 , Issue.3-4 , pp. 381-414
    • Protasov, V.Y.1
  • 24
    • 33746491704 scopus 로고    scopus 로고
    • On the regularity of de Rham curves
    • Protasov V.Y. On the regularity of de Rham curves. Izvestiya Mathematics 68 3 (2004) 567-606
    • (2004) Izvestiya Mathematics , vol.68 , Issue.3 , pp. 567-606
    • Protasov, V.Y.1
  • 26
    • 68349086182 scopus 로고    scopus 로고
    • On-line encyclopedia of integer sequences. Url
    • N.J.A. Sloane, On-line encyclopedia of integer sequences. Url: http://www.research.att.com/~njas/sequences
    • Sloane, N.J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.