×

Statistical mechanics of complex networks. (English) Zbl 1205.82086

Editorial remark: No review copy delivered.

MSC:

82B43 Percolation
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Adamic, L. A., Nature (London) 401 pp 131– (1999)
[2] Adamic, L. A., Science 287 pp 2115– (2000)
[3] Adamic, L. A., Phys. Rev. E 64 pp 046135– (2001)
[4] Albert, R., Phys. Rev. Lett. 85 pp 5234– (2000)
[5] Albert, R., Nature (London) 401 pp 130– (1999)
[6] Albert, R., Nature (London) 406 pp 378– (2000)
[7] Albert, R., Nature (London) 409 pp 542– (2001)
[8] Aldous, D., Bernoulli 5 pp 3– (1999) · Zbl 0930.60096
[9] Amaral, L. A. N., Proc. Natl. Acad. Sci. U.S.A. 97 pp 11– (2000)
[10] Ambjorn, J., Phys. Lett. B 244 pp 403– (1990)
[11] Argollo de Menezes, M., Europhys. Lett. 50 pp 574– (2000)
[12] Banavar, J. R., Phys. Rev. Lett. 78 pp 4522– (1997)
[13] Banavar, J. R., Phys. Rev. Lett. 84 pp 4745– (2000)
[14] Banavar, J. R., Nature (London) 399 pp 130– (1999)
[15] Barabási, A.-L., Science 286 pp 509– (1999) · Zbl 1226.05223
[16] Barabási, A.-L., Physica A 272 pp 173– (1999)
[17] Barrat, A., Eur. Phys. J. B 13 pp 547– (2000)
[18] Barthélémy, M., Phys. Rev. Lett. 82 pp 3180– (1999)
[19] Barthélémy, M., Phys. Rev. Lett. 82 pp 5180–
[20] Bianconi, G., Int. J. Mod. Phys. B 14 pp 3356– (2000)
[21] Bianconi, G., Int. J. Mod. Phys. B 15 pp 313– (2001)
[22] Bianconi, G., Europhys. Lett. 54 pp 436– (2001)
[23] Bianconi, G., Phys. Rev. Lett. 86 pp 5632– (2001)
[24] Bilke, S., Phys. Rev. E 64 pp 036106– (2001)
[25] Bollobás, B., Discrete Math. 33 pp 1– (1981) · Zbl 0447.05038
[26] Bollobás, B., Trans. Am. Math. Soc. 286 pp 257– (1984) · Zbl 0579.05046
[27] Bornholdt, S., Phys. Rev. E 64 pp 035104– (2001)
[28] Bornholdt, S., Proc. R. Soc. London, Ser. B 267 pp 2281– (2000)
[29] Broder, A., Comput. Netw. 33 pp 309– (2000)
[30] Burda, Z., Phys. Rev. E 64 pp 046118– (2001)
[31] Burton, R. M., Commun. Math. Phys. 121 pp 501– (1989) · Zbl 0662.60113
[32] Caldarelli, G., Europhys. Lett. 52 pp 386– (2000)
[33] Callaway, D. S., Phys. Rev. E 64 pp 041902– (2001)
[34] Callaway, D. S., Phys. Rev. Lett. 85 pp 5468– (2000)
[35] Carlson, J. M., Phys. Rev. E 60 pp 1412– (1999)
[36] Carlson, J. M., Phys. Rev. Lett. 84 pp 2529– (2000)
[37] Christensen, K., Phys. Rev. Lett. 81 pp 2380– (1998)
[38] Chung, F., Adv. Appl. Math. 26 pp 257– (2001) · Zbl 0977.05127
[39] Cohen, J. E., Discrete Appl. Math. 19 pp 113– (1988) · Zbl 0633.05065
[40] Cohen, R., Phys. Rev. Lett. 85 pp 4626– (2000)
[41] Cohen, R., Phys. Rev. Lett. 86 pp 3682– (2001)
[42] Coleman, J. S., Sociometry 20 pp 253– (1957)
[43] Comellas, F., Inf. Process. Lett. 76 pp 83– (2000) · Zbl 1338.68012
[44] Crovella, M. E., IEEE/ACM Trans. Netw. 5 pp 835– (1997)
[45] Derrida, B., J. Phys. A 15 pp L557– (1982)
[46] Dodds, P. S., Annu. Rev. Earth Planet Sci. 28 pp 571– (2000)
[47] Dodds, P. S., Phys. Rev. E 63 pp 016115– (2001)
[48] Dodds, P. S., Phys. Rev. E 63 pp 016116– (2001)
[49] Dodds, P. S., Phys. Rev. E 63 pp 016117– (2001)
[50] Dorogovtsev, S. N., Europhys. Lett. 50 pp 1– (2000)
[51] Dorogovtsev, S. N., Phys. Rev. E 62 pp 1842– (2000)
[52] Dorogovtsev, S. N., Europhys. Lett. 52 pp 33– (2000)
[53] Dorogovtsev, S. N., Phys. Rev. E 63 pp 025101– (2001)
[54] Dorogovtsev, S. N., Phys. Rev. E 63 pp 056125– (2001)
[55] Dorogovtsev, S. N., Proc. R. Soc. London Ser. B 268 pp 2603– (2001)
[56] Dorogovtsev, S. N., Phys. Rev. Lett. 85 pp 4633– (2000)
[57] Dorogovtsev, S. N., Phys. Rev. E 63 pp 056125– (2001)
[58] Dorogovtsev, S. N., Phys. Rev. E 64 pp R025101– (2001)
[59] Doyle, J., Phys. Rev. Lett. 84 pp 5656– (2000)
[60] Durrett, R. T., Z. Wahrscheinlichkeitstheor. Verwandte Geb. 69 pp 421– (1985) · Zbl 0548.60099
[61] Duxbury, P. M., Phys. Rev. B 51 pp 3476– (1995)
[62] Elowitz, M. B., Nature (London) 403 pp 335– (2000)
[63] Enquist, B. J., Nature (London) 395 pp 163– (1998)
[64] Enquist, B. J., Nature (London) 401 pp 907– (1999)
[65] Erdos, P., Publ. Math. (Debrecen) 6 pp 290– (1959)
[66] Erdos, P., Publ. Math. Inst. Hung. Acad. Sci. 5 pp 17– (1960)
[67] Erdos, P., Bull. Inst. Int. Stat. 38 pp 343– (1961)
[68] Faloutsos, M., Comput. Commun. Rev. 29 pp 251– (1999)
[69] Farkas, I. J., Phys. Rev. E 64 pp 026704– (2001)
[70] Fell, D. A., Nat. Biotechnol. 18 pp 1121– (2000)
[71] Gardner, T. S., Nature (London) 403 pp 520– (2000)
[72] Gleiss, P. M., Adv. Complex Syst. 4 pp 207– (2001) · Zbl 1028.05108
[73] Goh, K.-I., Phys. Rev. E 64 pp 051903– (2001)
[74] Granovetter, M. S., Am. J. Sociol. 78 pp 1360– (1973)
[75] Guhr, T., Phys. Rep. 299 pp 189– (1998)
[76] Guimerà, R., Physica A 299 pp 247– (2001) · Zbl 0978.94001
[77] Hammersley, J. M., Ann. Math. Stat. 28 pp 790– (1957) · Zbl 0091.13903
[78] Hara, T., Commun. Math. Phys. 128 pp 333– (1990) · Zbl 0698.60100
[79] Hartwell, L. H., Nature (London) 402 pp C47– (1999)
[80] Havlin, S., J. Phys. A 17 pp L427– (1984)
[81] Hohenberg, P. C., Rev. Mod. Phys. 49 pp 435– (1977)
[82] Hubermann, B. A., Science 280 pp 95– (1998)
[83] Jain, S., Proc. Natl. Acad. Sci. U.S.A. 98 pp 543– (2001)
[84] Jeong, H., Nature (London) 411 pp 41– (2001)
[85] Jeong, H., Nature (London) 407 pp 651– (2000)
[86] Jespersen, S., Phys. Rev. E 62 pp 6270– (2000)
[87] Johansen, A., Physica A 276 pp 338– (2000)
[88] Keeling, M. J., Proc. R. Soc. London, Ser. B 266 pp 859– (1999)
[89] Kleinberg, J. M., Nature (London) 406 pp 845– (2000)
[90] Kolchin, V. F., Theor. Probab. Appl. 31 pp 439– (1986) · Zbl 0616.60013
[91] Krapivsky, P. L., Phys. Rev. E 63 pp 066123– (2001)
[92] Krapivsky, P. L., Phys. Rev. Lett. 85 pp 4629– (2000)
[93] Krapivsky, P. L., Phys. Rev. Lett. 86 pp 5401– (2001)
[94] Kulkarni, R. V., Phys. Rev. E 61 pp 4268– (2000)
[95] Kullmann, L., Phys. Rev. E 63 pp 051112– (2001)
[96] Kuperman, M., Phys. Rev. Lett. 86 pp 2909– (2001)
[97] Lago-Fernández, L. F., Phys. Rev. Lett. 84 pp 2758– (2000)
[98] Lässig, M., Phys. Rev. Lett. 86 pp 4418– (2001)
[99] Lawrence, S., Science 280 pp 98– (1998)
[100] Lawrence, S., Nature (London) 400 pp 107– (1999)
[101] Leath, P. L., Phys. Rev. B 14 pp 5064– (1976)
[102] Liljeros, F., Nature (London) 411 pp 907– (2001)
[103] Lotka, A. J., J. Wash. Acad. Sci. 16 pp 317– (1926)
[104] Luczak, T., Random Struct. Algorithms 1 pp 287– (1990) · Zbl 0745.05048
[105] Margulis, G. A., Probl. Inf. Transm. 10 pp 101– (1974)
[106] Medina, A., Comput. Commun. Rev. 30 pp 18– (2000) · Zbl 05745331
[107] Milgram, S., Psychol. Today 1 pp 60– (1967)
[108] Molloy, M., Random Struct. Algorithms 6 pp 161– (1995)
[109] Molloy, M., Combinatorics, Probab. Comput. 7 pp 295– (1998) · Zbl 0916.05064
[110] Monasson, R., Eur. Phys. J. B 12 pp 555– (2000)
[111] Moore, C., Phys. Rev. E 61 pp 5678– (2000)
[112] Moore, C., Phys. Rev. E 62 pp 7059– (2000)
[113] Moore, E. F., J. Franklin Inst. 262 pp 201– (1956)
[114] Moore, E. F., J. Franklin Inst. 262 pp 281– (1956)
[115] Moukarzel, C., Phys. Rev. E 60 pp R6263– (1999) · Zbl 1062.82507
[116] Newman, M. E. J., J. Stat. Phys. 101 pp 819– (2000) · Zbl 1049.82520
[117] Newman, M. E. J., Proc. Natl. Acad. Sci. U.S.A. 98 pp 404– (2001)
[118] Newman, M. E. J., Phys. Rev. E 64 pp 016131– (2001)
[119] Newman, M. E. J., Phys. Rev. E 64 pp 016132– (2001)
[120] Newman, M. E. J., Phys. Rev. E 64 pp 025102– (2001)
[121] Newman, M. E. J., Phys. Rev. Lett. 84 pp 3201– (2000)
[122] Newman, M. E. J., Phys. Lett. A 263 pp 341– (1999) · Zbl 0940.82029
[123] Newman, M. E. J., Phys. Rev. E 60 pp 7332– (1999)
[124] Newman, M. E. J., Phys. Rev. E 64 pp 026118– (2001)
[125] Pandit, S. A., Phys. Rev. E 60 pp R1119– (1999)
[126] Pastor-Satorras, R., Phys. Rev. Lett. 86 pp 3200– (2001)
[127] Rapoport, A., Bull. Math. Biophys. 19 pp 257– (1957)
[128] Redner, S., Eur. Phys. J. B 4 pp 131– (1998)
[129] Savageau, M. A., BioSystems 47 pp 9– (1998)
[130] Scala, A., Europhys. Lett. 55 pp 594– (2000)
[131] Schilling, C. H., Proc. Natl. Acad. Sci. U.S.A. 95 pp 4193– (1998)
[132] Simon, H. A., Biometrika 42 pp 425– (1955)
[133] Slanina, F., Phys. Rev. Lett. 83 pp 5587– (1999)
[134] Slanina, F., Phys. Rev. E 62 pp 6170– (2000)
[135] Solé, R. V., Proc. R. Soc. London Ser. B 268 pp 2039– (2001)
[136] Solé, R. V., Physica A 289 pp 595– (2001) · Zbl 0971.68500
[137] Solomonoff, R., Bull. Math. Biophys. 13 pp 107– (1951)
[138] Strogatz, S. H., Nature (London) 410 pp 268– (2001) · Zbl 1370.90052
[139] Tadić, B., Physica A 293 pp 273– (2001) · Zbl 0978.68108
[140] Vogelstein, B., Nature (London) 408 pp 307– (2000)
[141] Watts, D. J., Nature (London) 393 pp 440– (1998) · Zbl 1368.05139
[142] Weigt, M., Phys. Rev. Lett. 86 pp 1658– (2001)
[143] West, G. B., Science 276 pp 122– (1997)
[144] Wigner, E. P., Ann. Math. 62 pp 548– (1955) · Zbl 0067.08403
[145] Wigner, E. P., Ann. Math. 65 pp 203– (1957) · Zbl 0077.31901
[146] Wigner, E. P., Ann. Math. 67 pp 325– (1958) · Zbl 0085.13203
[147] Willinger, W., IEEE/ACM Trans. Netw. 5 pp 71– (1997)
[148] Yook, S., Phys. Rev. Lett. 86 pp 5835– (2001)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.