메뉴 건너뛰기




Volumn 272, Issue 1, 2007, Pages 167-183

Gaussian limits for multidimensional random sequential packing at saturation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34248182987     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0218-2     Document Type: Article
Times cited : (18)

References (27)
  • 2
    • 0037279607 scopus 로고    scopus 로고
    • Gaussian fields and random packing
    • Baryshnikov, Yu., Yukich, J.E.: Gaussian fields and random packing. J. Stat. Phys. 111, 443-463 (2003)
    • (2003) J. Stat. Phys , vol.111 , pp. 443-463
    • Baryshnikov, Y.1    Yukich, J.E.2
  • 3
    • 14544281094 scopus 로고    scopus 로고
    • Gaussian limits for random measures in geometric probability
    • Baryshnikov, Yu., Yukich, J.E.: Gaussian limits for random measures in geometric probability. Annals Appl. Prob. 15, 213-253 (2005)
    • (2005) Annals Appl. Prob , vol.15 , pp. 213-253
    • Baryshnikov, Y.1    Yukich, J.E.2
  • 4
    • 0000385703 scopus 로고
    • Kinetics of irreversible monolayer and multilayer sequential adsorption
    • Bartelt, M.C., Privman, V.: Kinetics of irreversible monolayer and multilayer sequential adsorption. Internat. J. Mod. Phys. B 5, 2883-2907 (1991)
    • (1991) Internat. J. Mod. Phys. B , vol.5 , pp. 2883-2907
    • Bartelt, M.C.1    Privman, V.2
  • 8
    • 0000249454 scopus 로고
    • On the "parking" problem
    • Publications of the Math. Res. Inst. of the Hungarian Academy of Sciences
    • Dvoretzky, A., Robbins, H.: On the "parking" problem. MTA Mat Kut. Int. Kz̈l., (Publications of the Math. Res. Inst. of the Hungarian Academy of Sciences), 9, 209-225 (1964)
    • (1964) MTA Mat Kut. Int. Kz̈l , vol.9 , pp. 209-225
    • Dvoretzky, A.1    Robbins, H.2
  • 9
    • 12044256185 scopus 로고
    • Random and cooperative adsorption
    • Evans, J.W.: Random and cooperative adsorption. Rev. Mod. Phys. 65, 1281-1329 (1993)
    • (1993) Rev. Mod. Phys , vol.65 , pp. 1281-1329
    • Evans, J.W.1
  • 10
    • 0004246476 scopus 로고    scopus 로고
    • Second Edition, Berlin: Springer
    • Grimmett, G.: Percolation, Second Edition, Berlin: Springer 1999
    • (1999) Percolation
    • Grimmett, G.1
  • 11
    • 0043088752 scopus 로고
    • Sequential filling of a line by intervals placed at random and its application to linear adsorption
    • Mackenzie, J.K.: Sequential filling of a line by intervals placed at random and its application to linear adsorption. J. Chem. Phys. 37(4), 723-728 (1962)
    • (1962) J. Chem. Phys , vol.37 , Issue.4 , pp. 723-728
    • Mackenzie, J.K.1
  • 12
    • 0035531727 scopus 로고    scopus 로고
    • Random parking, sequential adsorption, and the jamming limit
    • Penrose, M.D.: Random parking, sequential adsorption, and the jamming limit. Commun. Math. Phys. 218, 153-176 (2001)
    • (2001) Commun. Math. Phys , vol.218 , pp. 153-176
    • Penrose, M.D.1
  • 13
    • 0035498178 scopus 로고    scopus 로고
    • Limit theorems for monolayer ballistic deposition in the continuum
    • Penrose, M.D.: Limit theorems for monolayer ballistic deposition in the continuum. J. Stat. Phys. 105, 561-583 (2001)
    • (2001) J. Stat. Phys , vol.105 , pp. 561-583
    • Penrose, M.D.1
  • 14
    • 27644525072 scopus 로고    scopus 로고
    • Multivariate spatial central limit theorems with applications to percolation and spatial graphs
    • Penrose, M.D.: Multivariate spatial central limit theorems with applications to percolation and spatial graphs. Ann. Prob. 33, 1945-1991 (2005)
    • (2005) Ann. Prob , vol.33 , pp. 1945-1991
    • Penrose, M.D.1
  • 17
    • 0036117358 scopus 로고    scopus 로고
    • Limit theory for random sequential packing and deposition
    • Penrose, M.D., Yukich, J.E.: Limit theory for random sequential packing and deposition. Ann. Appl. Probab. 12, 272-301 (2002)
    • (2002) Ann. Appl. Probab , vol.12 , pp. 272-301
    • Penrose, M.D.1    Yukich, J.E.2
  • 18
    • 0037274513 scopus 로고    scopus 로고
    • Weak laws of large numbers in geometric probability
    • Penrose, M.D., Yukich, J.E.: Weak laws of large numbers in geometric probability. Ann. Appl. Probab. 13, 277-303 (2003)
    • (2003) Ann. Appl. Probab , vol.13 , pp. 277-303
    • Penrose, M.D.1    Yukich, J.E.2
  • 19
    • 34248180565 scopus 로고    scopus 로고
    • Penrose, M.D., Yukich, J.E.: Normal approximation in geometric probability. In: Stein's Method and Applications, Lecture Note Series, Institute for Mathematical Sciences, National University of Singapore, 5, A.D. Barbour, Louis H.Y. Chen, eds., 2005, pp. 37-58. Also available electronically from http://arxiv.org/list/math.PR/0409088, 2004
    • Penrose, M.D., Yukich, J.E.: Normal approximation in geometric probability. In: Stein's Method and Applications, Lecture Note Series, Institute for Mathematical Sciences, National University of Singapore, 5, A.D. Barbour, Louis H.Y. Chen, eds., 2005, pp. 37-58. Also available electronically from http://arxiv.org/list/math.PR/0409088, 2004
  • 20
    • 0004898654 scopus 로고    scopus 로고
    • Adhesion of Submicron Particles on Solid Surfaces
    • edited by V. Privman
    • Privman V.: Adhesion of Submicron Particles on Solid Surfaces. In: A Special Issue of Colloids and Surfaces A 165, edited by V. Privman, 2000
    • (2000) A Special Issue of Colloids and Surfaces A , vol.165
    • Privman, V.1
  • 21
    • 0000409044 scopus 로고
    • On a one-dimensional random space-filling problem
    • Publications of the Math. Res. Inst. of the Hungarian Academy of Sciences
    • Rényi, A.: On a one-dimensional random space-filling problem, MTA Mat Kut. Int. Kz̈l., (Publications of the Math. Res. Inst. of the Hungarian Academy of Sciences) 3, 109-127 (1958)
    • (1958) MTA Mat Kut. Int. Kz̈l , vol.3 , pp. 109-127
    • Rényi, A.1
  • 22
    • 0008862816 scopus 로고    scopus 로고
    • Local volume fluctuations in random media
    • Quintanilla, J., Torquato, S.: Local volume fluctuations in random media. J. Chem. Phys. 106, 2741-2751 (1997)
    • (1997) J. Chem. Phys , vol.106 , pp. 2741-2751
    • Quintanilla, J.1    Torquato, S.2
  • 24
    • 21244487535 scopus 로고    scopus 로고
    • Large deviations for functionals of spatial point processes with applications to random packing and spatial graphs
    • Schreiber, T., Yukich, J.E.: Large deviations for functionals of spatial point processes with applications to random packing and spatial graphs. Stochastic Processes and Their Applications 115, 1332-1356 (2005)
    • (2005) Stochastic Processes and Their Applications , vol.115 , pp. 1332-1356
    • Schreiber, T.1    Yukich, J.E.2
  • 25
    • 0033969782 scopus 로고    scopus 로고
    • From car parking to protein adsorption: An overview of sequential adsorption processes
    • Talbot, J., Tarjus, G., Van Tassel, P.R., Viot, P.: From car parking to protein adsorption: an overview of sequential adsorption processes. Colloids and Surfaces A 165, 287-324 (2000)
    • (2000) Colloids and Surfaces A , vol.165 , pp. 287-324
    • Talbot, J.1    Tarjus, G.2    Van Tassel, P.R.3    Viot, P.4
  • 27
    • 33845776611 scopus 로고    scopus 로고
    • Random sequential addition of hard spheres in high Euclidean dimensions
    • Torquato, S., Uche, O.U., Stillinger, F.H.: Random sequential addition of hard spheres in high Euclidean dimensions. Phys. Rev. E 74, 061308 (2006)
    • (2006) Phys. Rev. E , vol.74 , pp. 061308
    • Torquato, S.1    Uche, O.U.2    Stillinger, F.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.