메뉴 건너뛰기




Volumn , Issue , 2009, Pages 23-45

Statistical Mechanics of Complex Networks

Author keywords

Complex networks; Hamiltonians of networks; Network entropies; Network thermodynamics; Random networks; Statistical mechanics; Superstatistics

Indexed keywords


EID: 77958105421     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527627981.ch2     Document Type: Chapter
Times cited : (10)

References (41)
  • 2
    • 0001847481 scopus 로고
    • On the evolution of random graphs
    • On the evolution of random graphs, Publ. Math. Inst. Hung. Acad. Sci. 5 (1960), 17.
    • (1960) Publ. Math. Inst. Hung. Acad. Sci , vol.5 , pp. 17
  • 3
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Barabási, A.-L., Statistical mechanics of complex networks, Rev. Mod. Phys. 74 (2002), 47.
    • (2002) Rev. Mod. Phys , vol.74 , pp. 47
    • Barabási, A.-L.1
  • 4
    • 0013530319 scopus 로고    scopus 로고
    • Evolution of Networks: From Biological Nets to the Internet
    • and WWW, OxfordUniversity Press, Oxford
    • Dorogovtsev, S., Mendes, J.F.F., Evolution of Networks: From Biological Nets to the Internet and WWW, OxfordUniversity Press, Oxford, 2003.
    • (2003)
    • Dorogovtsev, S.1    Mendes, J.F.F.2
  • 5
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabási, A.-L., Albert R., Emergence of scaling in random networks, Science 286 (1999), 509-512.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 6
    • 0142077573 scopus 로고    scopus 로고
    • Topology of evolving networks: local events and universality
    • Albert R., Barabási, A.-L., Topology of evolving networks: local events and universality, Phys. Rev. Lett. 85 (2000), 5234-5237.
    • (2000) Phys. Rev. Lett , vol.85 , pp. 5234-5237
    • Albert, R.1    Barabási, A.-L.2
  • 7
    • 17144405316 scopus 로고    scopus 로고
    • Preferential attachment growth model and nonextensive statistical mechanics
    • Soares, D.J.B., Tsallis, C., Mariz, A.M., da Silva, L.R., Preferential attachment growth model and nonextensive statistical mechanics, Europhys. Lett. 70 (2005), 70-76.
    • (2005) Europhys. Lett , vol.70 , pp. 70-76
    • Soares, D.J.B.1    Tsallis, C.2    Mariz, A.M.3    Da Silva, L.R.4
  • 8
    • 17044434368 scopus 로고    scopus 로고
    • Self organized scale-free networks from merging and regeneration
    • Kim, B.J., Trusina, A., Minnhagen, P., Sneppen, K., Self organized scale-free networks from merging and regeneration, Eur. Phy. J. B 43 (2005), 369-372.
    • (2005) Eur. Phy. J. B , vol.43 , pp. 369-372
    • Kim, B.J.1    Trusina, A.2    Minnhagen, P.3    Sneppen, K.4
  • 9
    • 27344434823 scopus 로고    scopus 로고
    • Nonextensive aspects of self-organized scale-free gaslike networks
    • Thurner, S., Tsallis, C., Nonextensive aspects of self-organized scale-free gaslike networks, Europhys. Lett. 72 (2005), 197-203.
    • (2005) Europhys. Lett , vol.72 , pp. 197-203
    • Thurner, S.1    Tsallis, C.2
  • 10
    • 84889817376 scopus 로고    scopus 로고
    • Statistical mechanics of optimization problems
    • arxiv:condmat/0602350
    • Parisi, G., Statistical mechanics of optimization problems, arxiv:condmat/0602350 (2006).
    • (2006)
    • Parisi, G.1
  • 11
  • 12
    • 25144460398 scopus 로고    scopus 로고
    • Optimization in complex networks
    • Ferrer, R., Solé, R.V., Optimization in complex networks, Lect. Notes Phys. 625 (2003), 114.
    • (2003) Lect. Notes Phys , vol.625 , pp. 114
    • Ferrer, R.1    Solé, R.V.2
  • 13
    • 17344385066 scopus 로고    scopus 로고
    • Modeling dynamics of information networks
    • Rosvall, M., Sneppen, K., Modeling dynamics of information networks, Phys. Rev. Lett. 91 (2003), 178701.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 178701
    • Rosvall, M.1    Sneppen, K.2
  • 16
    • 0348195596 scopus 로고    scopus 로고
    • Scale-free networks from a Hamiltonian dynamics
    • Baiesi, M., Manna, S.S., Scale-free networks from a Hamiltonian dynamics, Phys. Rev. E 68 (2003), 047103.
    • (2003) Phys. Rev. E , vol.68 , pp. 047103
    • Baiesi, M.1    Manna, S.S.2
  • 17
    • 18744409361 scopus 로고    scopus 로고
    • Correlated random networks
    • Berg, J., Lässig, M., Correlated random networks, Phys. Rev. Lett. 89 (2002), 228701.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 228701
    • Berg, J.1    Lässig, M.2
  • 18
    • 41349102726 scopus 로고    scopus 로고
    • The statistical mechanics of networks
    • Park, J., Newman, M.E.J., The statistical mechanics of networks, Phys. Rev. E 70, (2004), 066117.
    • (2004) Phys. Rev. E , vol.70 , pp. 066117
    • Park, J.1    Newman, M.E.J.2
  • 19
    • 33644985172 scopus 로고    scopus 로고
    • Equilibrium statistical mechanics of network structures
    • Farkas, I., Derenyi, I., Palla, G., Vicsek, T., Equilibrium statistical mechanics of network structures, Lect. Notes Phys. 650 (2004), 163.
    • (2004) Lect. Notes Phys , vol.650 , pp. 163
    • Farkas, I.1    Derenyi, I.2    Palla, G.3    Vicsek, T.4
  • 20
    • 37649033050 scopus 로고    scopus 로고
    • Statistical mechanics of topological phase transitions in networks
    • Palla, G., Derenyi, I., Farkas, I., Vicsek, T., Statistical mechanics of topological phase transitions in networks, Phys. Rev. E 69 (2004), 046117.
    • (2004) Phys. Rev. E , vol.69 , pp. 046117
    • Palla, G.1    Derenyi, I.2    Farkas, I.3    Vicsek, T.4
  • 21
    • 0037405687 scopus 로고    scopus 로고
    • Superstatistics
    • Beck, C., Cohen, E.G.D., Superstatistics, Physica A 322 (2003), 267-275.
    • (2003) Physica A , vol.322 , pp. 267-275
    • Beck, C.1    Cohen, E.G.D.2
  • 22
    • 28844496346 scopus 로고    scopus 로고
    • Complex networks emerging from fluctuating random graphs: analytic formula for the hidden variable distribution
    • Abe, S., Thurner, S., Complex networks emerging from fluctuating random graphs: analytic formula for the hidden variable distribution, Phys. Rev. E 72 (2005), 036102.
    • (2005) Phys. Rev. E , vol.72 , pp. 036102
    • Abe, S.1    Thurner, S.2
  • 23
    • 33749547142 scopus 로고    scopus 로고
    • Hierarchical and mixing properties of static complex networks emerging from fluctuating classical random graphs
    • Abe, S., Thurner, S., Hierarchical and mixing properties of static complex networks emerging from fluctuating classical random graphs, Int. J. Phys. C 17 (2006), 1303-1311.
    • (2006) Int. J. Phys. C , vol.17 , pp. 1303-1311
    • Abe, S.1    Thurner, S.2
  • 24
    • 80052728568 scopus 로고    scopus 로고
    • Instability of q-expectation value
    • arxiv:0806.3934
    • Abe, S., Instability of q-expectation value, arxiv:0806.3934 (2008).
    • (2008)
    • Abe, S.1
  • 25
    • 14844311250 scopus 로고    scopus 로고
    • Power law tails in the Italian personal income
    • Clementi, F., Gallegati, M., Power law tails in the Italian personal income, Physica A 350 (2005), 427.
    • (2005) Physica A , vol.350 , pp. 427
    • Clementi, F.1    Gallegati, M.2
  • 26
    • 84889826876 scopus 로고    scopus 로고
    • Empirical study and model of personal income
    • arxiv:physics/0505173
    • Souma,W., Nirei, M., Empirical study and model of personal income, arxiv:physics/0505173 (2005).
    • (2005)
    • Souma, W.1    Nirei, M.2
  • 27
    • 84930064585 scopus 로고    scopus 로고
    • Hierarchical organization in complex networks
    • Ravasz, E., Barabasi, A.-L., Hierarchical organization in complex networks, Phys. Rev. E 67 (2003), 026112.
    • (2003) Phys. Rev. E , vol.67 , pp. 026112
    • Ravasz, E.1    Barabasi, A.-L.2
  • 28
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts, D.J., Strogatz, S.H., Collective dynamics of 'small-world' networks, Nature 393 (1998), 440.
    • (1998) Nature , vol.393 , pp. 440
    • Watts, D.J.1    Strogatz, S.H.2
  • 29
    • 33846391978 scopus 로고    scopus 로고
    • Statistical mechanics of scale-free networks at a critical point: complexity without irreversibility?
    • Biely, C., Thurner, S., Statistical mechanics of scale-free networks at a critical point: complexity without irreversibility?, Phys. Rev. E 74 (2006), 066116.
    • (2006) Phys. Rev. E , vol.74 , pp. 066116
    • Biely, C.1    Thurner, S.2
  • 30
    • 33750067363 scopus 로고    scopus 로고
    • Two statistical mechanics aspects of complex networks
    • Thurner, S., Biely, C., Two statistical mechanics aspects of complex networks, Physica A 372 (2006), 346-353.
    • (2006) Physica A , vol.372 , pp. 346-353
    • Thurner, S.1    Biely, C.2
  • 31
    • 33749547252 scopus 로고    scopus 로고
    • Nonextensive statistical mechanics and complex scale-free networks
    • Thurner, S., Nonextensive statistical mechanics and complex scale-free networks, Eur. Phys. News 36 (2005), 218.
    • (2005) Eur. Phys. News , vol.36 , pp. 218
    • Thurner, S.1
  • 32
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • Tsallis, C., Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys. 52 (1988), 479-487.
    • (1988) J. Stat. Phys , vol.52 , pp. 479-487
    • Tsallis, C.1
  • 33
    • 0004305358 scopus 로고    scopus 로고
    • Nonextensive Entropy -Interdisciplinary Applications
    • Oxford University Press, New York
    • Gell-Mann, M., Tsallis, C., Nonextensive Entropy -Interdisciplinary Applications, Oxford University Press, New York, 2004.
    • (2004)
    • Gell-Mann, M.1    Tsallis, C.2
  • 34
    • 27344449202 scopus 로고    scopus 로고
    • Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive
    • Tsallis, C., Gell-Mann, M., Sato, Y., Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive, Proc. Natl. Acad. Sc. USA 102 (2005), 15377-15382.
    • (2005) Proc. Natl. Acad. Sc. USA , vol.102 , pp. 15377-15382
    • Tsallis, C.1    Gell-Mann, M.2    Sato, Y.3
  • 35
    • 0032299256 scopus 로고    scopus 로고
    • The role of constraints within generalized nonextensive statistics
    • Tsallis, C., Mendes, R.S., Plastino, A.R., The role of constraints within generalized nonextensive statistics, Physica A 261 (1998), 534-554.
    • (1998) Physica A , vol.261 , pp. 534-554
    • Tsallis, C.1    Mendes, R.S.2    Plastino, A.R.3
  • 36
    • 34247847982 scopus 로고    scopus 로고
    • Generalized Boltzmann factors and the maximum entropy principle: entropies for complex systems
    • Hanel, R., Thurner, S., Generalized Boltzmann factors and the maximum entropy principle: entropies for complex systems, Physica A 380 (2007), 109-114.
    • (2007) Physica A , vol.380 , pp. 109-114
    • Hanel, R.1    Thurner, S.2
  • 37
    • 72349097162 scopus 로고    scopus 로고
    • Entropies for complex systems: generalized-generalized entropies
    • in Complexity, Metastability, and Nonextensivity, AIP 965
    • Hanel, R., Thurner, S., Entropies for complex systems: generalized-generalized entropies, in Complexity, Metastability, and Nonextensivity, AIP 965, 2007, pp. 68-75.
    • (2007) , pp. 68-75
    • Hanel, R.1    Thurner, S.2
  • 38
    • 16344367589 scopus 로고    scopus 로고
    • Derivation of power-law distributions within standard statistical mechanics
    • Hanel, R., Thurner, S., Derivation of power-law distributions within standard statistical mechanics, Physica A 351 (2005), 260-268.
    • (2005) Physica A , vol.351 , pp. 260-268
    • Hanel, R.1    Thurner, S.2
  • 39
    • 34548839416 scopus 로고    scopus 로고
    • Unified model for network dynamics exhibiting nonextensive statistics
    • Thurner, S., Kyriakopoulos, F., Tsallis, C., Unified model for network dynamics exhibiting nonextensive statistics, Phys. Rev. E 76 (2007), 036111.
    • (2007) Phys. Rev. E , vol.76 , pp. 036111
    • Thurner, S.1    Kyriakopoulos, F.2    Tsallis, C.3
  • 40
    • 0003776388 scopus 로고
    • Theory of Financial Decision Making
    • Rowman & Littlefield Publishers
    • Ingersoll, J.E., Theory of Financial Decision Making, Rowman & Littlefield Publishers, 1987.
    • (1987)
    • Ingersoll, J.E.1
  • 41
    • 84884079276 scopus 로고
    • Theory of Games and Economic Behavior
    • Princeton University Press, Princeton
    • von Neumann, J., Morgenstern, O., Theory of Games and Economic Behavior, Princeton University Press, Princeton, 1944.
    • (1944)
    • Von Neumann, J.1    Morgenstern, O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.