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Volumn 90, Issue 2, 2014, Pages

Full eigenvalues of the Markov matrix for scale-free polymer networks

Author keywords

[No Author keywords available]

Indexed keywords

LARGE SCALE SYSTEMS; RANDOM PROCESSES;

EID: 84936957060     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.90.022816     Document Type: Article
Times cited : (19)

References (59)
  • 4
    • 2342616749 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.118701
    • J. D. Noh and H. Rieger, Phys. Rev. Lett. 92, 118701 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.118701
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 118701
    • Noh, J.D.1    Rieger, H.2
  • 6
    • 30344486302 scopus 로고    scopus 로고
    • First-passage times for random walks in bounded domains
    • DOI 10.1103/PhysRevLett.95.260601, 260601
    • S. Condamin, O. Bénichou, and M. Moreau, Phys. Rev. Lett. 95, 260601 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.260601 (Pubitemid 43061522)
    • (2005) Physical Review Letters , vol.95 , Issue.26 , pp. 1-4
    • Condamin, S.1    Benichou, O.2    Moreau, M.3
  • 7
    • 23244459882 scopus 로고    scopus 로고
    • What is special about diffusion on scale-free nets?
    • DOI 10.1088/1367-2630/7/1/026, PII S1367263005872799
    • E. M. Bollt and D. ben-Avraham, New J. Phys. 7, 26 (2005). NJOPFM 1367-2630 10.1088/1367-2630/7/1/026 (Pubitemid 41093488)
    • (2005) New Journal of Physics , vol.7
    • Bollt, E.M.1    Ben-Avraham, D.2
  • 8
    • 34547340449 scopus 로고    scopus 로고
    • First-passage time distributions for subdiffusion in confined geometry
    • DOI 10.1103/PhysRevLett.98.250602
    • S. Condamin, O. Bénichou, and J. Klafter, Phys. Rev. Lett. 98, 250602 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.250602 (Pubitemid 47139905)
    • (2007) Physical Review Letters , vol.98 , Issue.25 , pp. 250602
    • Condamin, S.1    Benichou, O.2    Klafter, J.3
  • 9
    • 35948955551 scopus 로고    scopus 로고
    • First-passage times in complex scale-invariant media
    • DOI 10.1038/nature06201, PII NATURE06201
    • S. Condamin, O. Bénichou, V. Tejedor, R. Voituriez, and J. Klafter, Nature (London) 450, 77 (2007). NATUAS 0028-0836 10.1038/nature06201 (Pubitemid 350070561)
    • (2007) Nature , vol.450 , Issue.7166 , pp. 77-80
    • Condamin, S.1    Benichou, O.2    Tejedor, V.3    Voituriez, R.4    Klafter, J.5
  • 13
    • 77149175442 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.80.065104
    • V. Tejedor, O. Bénichou, and R. Voituriez, Phys. Rev. E 80, 065104 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.065104
    • (2009) Phys. Rev. e , vol.80 , pp. 065104
    • Tejedor, V.1    Bénichou, O.2    Voituriez, R.3
  • 14
    • 68949122324 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.80.016107
    • A. Fronczak and P. Fronczak, Phys. Rev. E 80, 016107 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.016107
    • (2009) Phys. Rev. e , vol.80 , pp. 016107
    • Fronczak, A.1    Fronczak, P.2
  • 15
    • 77954833402 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.011118
    • E. Agliari, R. Burioni, and A. Manzotti, Phys. Rev. E 82, 011118 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.011118
    • (2010) Phys. Rev. e , vol.82 , pp. 011118
    • Agliari, E.1    Burioni, R.2    Manzotti, A.3
  • 16
    • 79953134789 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.83.031113
    • A. P. Roberts and C. P. Haynes, Phys. Rev. E 83, 031113 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.031113
    • (2011) Phys. Rev. e , vol.83 , pp. 031113
    • Roberts, A.P.1    Haynes, C.P.2
  • 17
    • 79961086778 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.83.066102
    • V. Tejedor, O. Bénichou, and R. Voituriez, Phys. Rev. E 83, 066102 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.066102
    • (2011) Phys. Rev. e , vol.83 , pp. 066102
    • Tejedor, V.1    Bénichou, O.2    Voituriez, R.3
  • 18
    • 84872583127 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.87.012112
    • Z. Z. Zhang, T. Shan, and G. R. Chen, Phys. Rev. E 87, 012112 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.012112
    • (2013) Phys. Rev. e , vol.87 , pp. 012112
    • Zhang, Z.Z.1    Shan, T.2    Chen, G.R.3
  • 20
    • 0006217743 scopus 로고    scopus 로고
    • in, Vol. 2, edited by D. Miklós, V. T. Só, and T. Szönyi (Jáos Bolyai Mathematical Society, Budapest), pp..
    • L. Lováz, in Combinatorics, Paul Erdös is Eighty, Vol. 2, edited by D. Miklós, V. T. Só, and T. Szönyi (Jáos Bolyai Mathematical Society, Budapest, 1996), pp. 353-398, http://research. microsoft.com/users/∼lovasz/erdos.ps.
    • (1996) Combinatorics, Paul Erdös Is Eighty , pp. 353-398
    • Lováz, L.1
  • 21
    • 84940336902 scopus 로고    scopus 로고
    • D. Aldous and J. Fill (1999), http://www.stat.berkeley.edu/∼aldous/ RWG/book.html
    • (1999)
    • Aldous, D.1    Fill, J.2
  • 23
    • 0036799452 scopus 로고    scopus 로고
    • AMMYAE 0002-9890 10.2307/3072398
    • M. Levene and G. Loizou, Am. Math. Mon. 109, 741 (2002). AMMYAE 0002-9890 10.2307/3072398
    • (2002) Am. Math. Mon. , vol.109 , pp. 741
    • Levene, M.1    Loizou, G.2
  • 24
    • 0003882879 scopus 로고    scopus 로고
    • (American Mathematical Society, Providence).
    • F. Chung, Spectral Graph Theory (American Mathematical Society, Providence, 1997).
    • (1997) Spectral Graph Theory
    • Chung, F.1
  • 25
    • 33846837302 scopus 로고    scopus 로고
    • Resistance distance and the normalized Laplacian spectrum
    • DOI 10.1016/j.dam.2006.09.008, PII S0166218X06003891
    • H. Y. Chen and F. J. Zhang, Discrete Appl. Math. 155, 654 (2007). DAMADU 0166-218X 10.1016/j.dam.2006.09.008 (Pubitemid 46209322)
    • (2007) Discrete Applied Mathematics , vol.155 , Issue.5 , pp. 654-661
    • Chen, H.1    Zhang, F.2
  • 26
    • 84861585788 scopus 로고    scopus 로고
    • LAAPAW 0024-3795 10.1016/j.laa.2012.04.005
    • H. Chen and J. Jost, Linear Algebra Appl. 437, 1089 (2012). LAAPAW 0024-3795 10.1016/j.laa.2012.04.005
    • (2012) Linear Algebra Appl. , vol.437 , pp. 1089
    • Chen, H.1    Jost, J.2
  • 27
    • 84887308017 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.88.042822
    • M. E. J. Newman, Phys. Rev. E 88, 042822 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.042822
    • (2013) Phys. Rev. e , vol.88 , pp. 042822
    • Newman, M.E.J.1
  • 33
    • 34948848201 scopus 로고    scopus 로고
    • Spectra of Husimi cacti: Exact results and applications
    • DOI 10.1063/1.2787005
    • M. Galiceanu and A. Blumen, J. Chem. Phys. 127, 134904 (2007). 0021-9606 10.1063/1.2787005 (Pubitemid 47531641)
    • (2007) Journal of Chemical Physics , vol.127 , Issue.13 , pp. 134904
    • Galiceanu, M.1    Blumen, A.2
  • 34
    • 84861595853 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.108.218701
    • C. Grabow, S. Grosskinsky, and M. Timme, Phys. Rev. Lett. 108, 218701 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.218701
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 218701
    • Grabow, C.1    Grosskinsky, S.2    Timme, M.3
  • 35
    • 84875712053 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.4794921
    • H. Liu and Z. Z. Zhang, J. Chem. Phys. 138, 114904 (2013). 0021-9606 10.1063/1.4794921
    • (2013) J. Chem. Phys. , vol.138 , pp. 114904
    • Liu, H.1    Zhang, Z.Z.2
  • 36
    • 84872503160 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.87.012803
    • R. R. Nadakuditi and M. E. J. Newman, Phys. Rev. E 87, 012803 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.012803
    • (2013) Phys. Rev. e , vol.87 , pp. 012803
    • Nadakuditi, R.R.1    Newman, M.E.J.2
  • 37
    • 84899753053 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.89.042816
    • X. Zhang, R. R. Nadakuditi, and M. E. J. Newman, Phys. Rev. E 89, 042816 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.89.042816
    • (2014) Phys. Rev. e , vol.89 , pp. 042816
    • Zhang, X.1    Nadakuditi, R.R.2    Newman, M.E.J.3
  • 38
    • 34547341247 scopus 로고    scopus 로고
    • Calculation of the distribution of eigenvalues and eigenvectors in Markovian state models for molecular dynamics
    • DOI 10.1063/1.2740261
    • N. S. Hinrichs and V. S. Pande, J. Chem. Phys. 126, 244101 (2007). 0021-9606 10.1063/1.2740261 (Pubitemid 47141397)
    • (2007) Journal of Chemical Physics , vol.126 , Issue.24 , pp. 244101
    • Hinrichs, N.S.1    Pande, V.S.2
  • 39
    • 0038483826 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.286.5439.509
    • A.-L. Barabási and R. Albert, Science 286, 509 (1999). SCIEAS 0036-8075 10.1126/science.286.5439.509
    • (1999) Science , vol.286 , pp. 509
    • Barabási, A.-L.1    Albert, R.2
  • 40
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • DOI 10.1038/30918
    • D. J. Watts and H. Strogatz, Nature (London) 393, 440 (1998). NATUAS 0028-0836 10.1038/30918 (Pubitemid 28292183)
    • (1998) Nature , vol.393 , Issue.6684 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 41
    • 0036013593 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.74.47
    • R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002). RMPHAT 0034-6861 10.1103/RevModPhys.74.47
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 47
    • Albert, R.1    Barabási, A.-L.2
  • 42
    • 0038718854 scopus 로고    scopus 로고
    • SIREAD 0036-1445 10.1137/S003614450342480
    • M. E. J. Newman, SIAM Rev. 45, 167 (2003). SIREAD 0036-1445 10.1137/S003614450342480
    • (2003) SIAM Rev. , vol.45 , pp. 167
    • Newman, M.E.J.1
  • 43
    • 31344474880 scopus 로고    scopus 로고
    • Complex networks: Structure and dynamics
    • DOI 10.1016/j.physrep.2005.10.009, PII S037015730500462X
    • S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwanga, Phys. Rep. 424, 175 (2006). PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 (Pubitemid 43135890)
    • (2006) Physics Reports , vol.424 , Issue.4-5 , pp. 175-308
    • Boccaletti, S.1    Latora, V.2    Moreno, Y.3    Chavez, M.4    Hwang, D.-U.5
  • 45
    • 33645780366 scopus 로고    scopus 로고
    • Origins of fractality in the growth of complex networks
    • DOI 10.1038/nphys266, PII N266
    • C. Song, S. Havlin, and H. A. Makse, Nat. Phys. 2, 275 (2006). 1745-2473 10.1038/nphys266 (Pubitemid 43553650)
    • (2006) Nature Physics , vol.2 , Issue.4 , pp. 275-281
    • Song, C.1    Havlin, S.2    Makse, H.A.3
  • 46
    • 34547240742 scopus 로고    scopus 로고
    • Fractal and transfractal recursive scale-free nets
    • DOI 10.1088/1367-2630/9/6/175, PII S1367263007391520
    • H. D. Rozenfeld, S. Havlin, and D. ben-Avraham, New J. Phys. 9, 175 (2007). NJOPFM 1367-2630 10.1088/1367-2630/9/6/175 (Pubitemid 47146380)
    • (2007) New Journal of Physics , vol.9 , pp. 175
    • Rozenfeld, H.D.1    Havlin, S.2    Ben-Avraham, D.3
  • 48
    • 79551677934 scopus 로고    scopus 로고
    • 1751-8113 10.1088/1751-8113/44/7/075102
    • Z. Z. Zhang, Y. Lin, and Y. J. Ma, J. Phys. A 44, 075102 (2011). 1751-8113 10.1088/1751-8113/44/7/075102
    • (2011) J. Phys. A , vol.44 , pp. 075102
    • Zhang, Z.Z.1    Lin, Y.2    Ma, Y.J.3
  • 50
    • 0000683755 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.46.1850
    • M. G. Cosenza and R. Kapral, Phys. Rev. A 46, 1850 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.46.1850
    • (1992) Phys. Rev. A , vol.46 , pp. 1850
    • Cosenza, M.G.1    Kapral, R.2
  • 54
    • 79961105718 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.84.011801
    • A. Jurjiu, A. Volta, and T. Beu, Phys. Rev. E 84, 011801 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.011801
    • (2011) Phys. Rev. e , vol.84 , pp. 011801
    • Jurjiu, A.1    Volta, A.2    Beu, T.3
  • 56
    • 84874896493 scopus 로고    scopus 로고
    • 10.1063/1.4793309
    • Y. Lin and Z. Z. Zhang, J. Chem. Phys. 138, 094905 (2013). 10.1063/1.4793309
    • (2013) J. Chem. Phys. , vol.138 , pp. 094905
    • Lin, Y.1    Zhang, Z.Z.2
  • 58
    • 79951684651 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/90/68002
    • Z. Z. Zhang, H. X. Liu, B. Wu, and S. G. Zhou, Europhys. Lett. 90, 68002 (2010). EULEEJ 0295-5075 10.1209/0295-5075/90/68002
    • (2010) Europhys. Lett. , vol.90 , pp. 68002
    • Zhang, Z.Z.1    Liu, H.X.2    Wu, B.3    Zhou, S.G.4
  • 59
    • 79951705659 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.83.016116
    • Z. Z. Zhang, H. X. Liu, B. Wu, and T. Zou, Phys. Rev. E 83, 016116 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.016116
    • (2011) Phys. Rev. e , vol.83 , pp. 016116
    • Zhang, Z.Z.1    Liu, H.X.2    Wu, B.3    Zou, T.4


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