메뉴 건너뛰기




Volumn 23, Issue 3, 2013, Pages 1219-1253

On a preferential attachment and generalized Pólya's urn model

Author keywords

P lya's urn process; Preferential attachment; Reinforcement processes; Species sampling sequence

Indexed keywords


EID: 84879618811     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/12-AAP869     Document Type: Article
Times cited : (54)

References (27)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • MR1895096
    • ALBERT, R. and BARABÁSI, A.-L. (2002). Statistical mechanics of complex networks. Rev. Modern Phys. 74 47-97. MR1895096
    • (2002) Rev. Modern Phys. , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 2
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling inrandom networks
    • MR2091634
    • BARABÁSI, A.-L. and ALBERT, R. (1999). Emergence of scaling inrandom networks. Science 286 509-512. MR2091634
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 3
    • 84879614479 scopus 로고    scopus 로고
    • Universal techniques to analyze preferential attachment tree and networks: Global and local analysis
    • To appear
    • BHAMIDI, S. (2012). Universal techniques to analyze preferential attachment tree and networks: Global and local analysis. Probab. Surv. To appear.
    • (2012) Probab. Surv
    • Bhamidi, S.1
  • 5
    • 27744542770 scopus 로고    scopus 로고
    • Generalizations ofPolya's urnproblem
    • CHUNG, F., HANDJANI, S. and JUNGREIS, D. (2003). Generalizations ofPolya's urnproblem. Ann. Comb. 7 141-153.
    • (2003) Ann. Comb. , vol.7 , pp. 141-153
    • Chung, F.1    Handjani, S.2    Jungreis, D.3
  • 6
    • 73949121962 scopus 로고    scopus 로고
    • Attraction time for strongly reinforced walks
    • MR2569814
    • COTAR, C. and LIMIC, V. (2009). Attraction time for strongly reinforced walks. Ann. Appl. Probab. 19 1972-2007. MR2569814
    • (2009) Ann. Appl. Probab. , vol.19 , pp. 1972-2007
    • Cotar, C.1    Limic, V.2
  • 7
    • 0000560875 scopus 로고
    • Reinforced random walk
    • MR1030727
    • DAVIS, B. (1990). Reinforced random walk. Probab. Theory Related Fields 84 203-229. MR1030727
    • (1990) Probab. Theory Related Fields , vol.84 , pp. 203-229
    • Davis, B.1
  • 9
    • 0347427624 scopus 로고    scopus 로고
    • Large Deviations Techniques and Applications, 2nd ed
    • Springer, New York, MR1619036
    • DEMBO, A. and ZEITOUNI, O. (1998). Large Deviations Techniques and Applications, 2nd ed. Applications ofMathematics (New York) 38. Springer, New York. MR1619036
    • (1998) Applications OfMathematics (New York) , vol.38
    • Dembo, A.1    Zeitouni, O.2
  • 11
    • 67651227045 scopus 로고    scopus 로고
    • Random networks with sublinear preferential attachment: Degree evolutions
    • MR2511283
    • DEREICH, S. and MÖRTERS, P. (2009). Random networks with sublinear preferential attachment: Degree evolutions. Electron. J. Probab. 14 1222-1267. MR2511283
    • (2009) Electron. J. Probab. , vol.14 , pp. 1222-1267
    • Dereich, S.1    Mörters, P.2
  • 14
    • 0013333373 scopus 로고    scopus 로고
    • Prediction rules for exchangeable sequences related to species sampling
    • MR1745692
    • HANSEN, B. and PITMAN, J. (2000). Prediction rules for exchangeable sequences related to species sampling. Statist. Probab. Lett. 46 251-256. MR1745692
    • (2000) Statist. Probab. Lett. , vol.46 , pp. 251-256
    • Hansen, B.1    Pitman, J.2
  • 15
    • 0008941781 scopus 로고
    • Exchangeable urn processes
    • MR0905350
    • HILL, B. M., LANE, D. and SUDDERTH, W. (1987). Exchangeable urn processes. Ann. Probab. 15 1586-1592. MR0905350
    • (1987) Ann. Probab. , vol.15 , pp. 1586-1592
    • Hill, B.M.1    Lane, D.2    Sudderth, W.3
  • 16
    • 0346338291 scopus 로고    scopus 로고
    • Generalized weighted Chinese restaurantprocesses for species sampling mixture models
    • MR2026070
    • ISHWARAN, H. and JAMES, L. F. (2003). Generalized weighted Chinese restaurantprocesses for species sampling mixture models. Statist. Sinica 13 1211-1235. MR2026070
    • (2003) Statist. Sinica , vol.13 , pp. 1211-1235
    • Ishwaran, H.1    James, L.F.2
  • 17
    • 0035363060 scopus 로고    scopus 로고
    • Organization of growing random networks
    • KRAPIVSKY, P. L. and REDNER, S. L. (2001). Organization of growing random networks. Phys. Rev. E 63 066123.
    • (2001) Phys. Rev. e , vol.63 , pp. 066123
    • Krapivsky, P.L.1    Redner, S.L.2
  • 19
    • 4043080704 scopus 로고    scopus 로고
    • On random trees
    • MR1909153
    • MÓRI, T. F. (2002). On random trees. Studia Sci. Math. Hungar. 39 143-155. MR1909153
    • (2002) Studia Sci. Math. Hungar. , vol.39 , pp. 143-155
    • Móri, T.F.1
  • 20
    • 50249104858 scopus 로고    scopus 로고
    • Connectivity transitions in networks with super-linear preferential attachment
    • MR2193157
    • OLIVEIRA, R. and SPENCER, J. (2005). Connectivity transitions in networks with super-linear preferential attachment. Internet Math. 2 121-163. MR2193157
    • (2005) Internet Math. , vol.2 , pp. 121-163
    • Oliveira, R.1    Spencer, J.2
  • 21
    • 66149184086 scopus 로고    scopus 로고
    • The onset of dominance in balls-in-bins processes with feedback
    • MR2531779
    • OLIVEIRA, R. I. (2009). The onset of dominance in balls-in-bins processes with feedback. Random Structures Algorithms 34 454-477. MR2531779
    • (2009) Random Structures Algorithms , vol.34 , pp. 454-477
    • Oliveira, R.I.1
  • 22
    • 64549146385 scopus 로고    scopus 로고
    • A survey of random processes with reinforcement
    • MR2282181
    • PEMANTLE, R. (2007). A survey of random processes with reinforcement. Probab. Surv. 4 1-79. MR2282181
    • (2007) Probab. Surv. , vol.4 , pp. 1-79
    • Pemantle, R.1
  • 23
    • 21844504293 scopus 로고
    • Exchangeable and partially exchangeable random partitions
    • MR1337249
    • PITMAN, J. (1995). Exchangeable and partially exchangeable random partitions. Probab. Theory Related Fields 102 145-158. MR1337249
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 145-158
    • Pitman, J.1
  • 24
    • 0000130672 scopus 로고    scopus 로고
    • Some developments of the Blackwell-Mac Queen urn scheme
    • (T S. Ferguson, L. S. Shapley and J. B. MacQueen, eds.). Institute of Mathematical Statistics Lecture Notes\Monograph Series, IMS Hayward CA MR1481784
    • PITMAN, J. (1996). Some developments of the Blackwell-MacQueen urn scheme. In Statistics, Probability and Game Theory (T S. Ferguson, L. S. Shapley and J. B. MacQueen, eds.). Institute of Mathematical Statistics Lecture Notes\Monograph Series 30 245-267. IMS, Hayward, CA. MR1481784
    • (1996) Statistics, Probability and Game Theory , vol.30 , pp. 245-267
    • Pitman, J.1
  • 25
    • 34548534837 scopus 로고    scopus 로고
    • Randomtrees and general branch in gprocesses
    • MR2343718
    • RUDAS, A., TÓTH, B. and VALKÓ, B. (2007). Randomtrees and general branch in gprocesses. Random Structures Algorithms 31 186-202. MR2343718
    • (2007) Random Structures Algorithms , vol.31 , pp. 186-202
    • Rudas, A.1    Tóth, B.2    Valkó, B.3
  • 26
    • 77954086950 scopus 로고    scopus 로고
    • Trail formation in ants. A generalized Polya urn process
    • SHAH, S., KOTHARI, R., JAYADEVA and CHANDRA, S. (2010). Trail formation in ants. A generalized Polya urn process. Swarm Intelligence 4 145-171.
    • (2010) Swarm Intelligence , vol.4 , pp. 145-171
    • Shah, S.1    Jayadeva, K.R.2    Chandra, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.