메뉴 건너뛰기




Volumn 1892, Issue , 2006, Pages 267-281

On the evolution equations of mean geometric densities for a class of space and time inhomogeneous stochastic birth-and-growth processes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33750521127     PISSN: 00758434     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-38175-4_6     Document Type: Article
Times cited : (1)

References (28)
  • 3
    • 0342869049 scopus 로고
    • Kinetic of phase change. Part I
    • Avrami A.: Kinetic of phase change. Part I. J. Chem. Phys., 7, 1103-112 (1939)
    • (1939) J. Chem. Phys. , vol.7 , pp. 1103-1112
    • Avrami, A.1
  • 4
    • 0041075294 scopus 로고    scopus 로고
    • On the expected measure of a random set
    • Jeulin, D. (ed) Advances in Theory and Applications of Random Sets, Oct. 9-11, 1996, Fontainebleau, France. World Sci. Publ., Singapore
    • Baddeley, A.J., Molchanov, I.S.: On the expected measure of a random set. In: Jeulin, D. (ed) Advances in Theory and Applications of Random Sets, Proc. International Symposium, Oct. 9-11, 1996, Fontainebleau, France. World Sci. Publ., Singapore (1997)
    • (1997) Proc. International Symposium
    • Baddeley, A.J.1    Molchanov, I.S.2
  • 7
    • 4744349862 scopus 로고    scopus 로고
    • Growth fronts of first-order Hamilton-Jacobi equations
    • J. Kepler University, Linz
    • Burger, M.: Growth fronts of first-order Hamilton-Jacobi equations. SFB Report 02-8, J. Kepler University, Linz (2002)
    • (2002) SFB Report , vol.2 , Issue.8
    • Burger, M.1
  • 9
    • 0040542054 scopus 로고    scopus 로고
    • Modelling multi-dimensional crystallization of polymers in interaction with heat transfer
    • Burger, M., Capasso, V., Salani, C.: Modelling multi-dimensional crystallization of polymers in interaction with heat transfer. Nonlinear Anal. Real World Appl., 3, 139-160 (2002)
    • (2002) Nonlinear Anal. Real World Appl. , vol.3 , pp. 139-160
    • Burger, M.1    Capasso, V.2    Salani, C.3
  • 10
    • 18044387075 scopus 로고    scopus 로고
    • Mathematical modelling for polymer processing
    • Capasso, V. (ed): Polymerization, Crystallization, Manufacturing. Springer, Heidelberg
    • Capasso, V. (ed): Mathematical Modelling for Polymer Processing. Polymerization, Crystallization, Manufacturing. Mathematics in Industry Series, 2, Springer, Heidelberg (2003)
    • (2003) Mathematics in Industry Series , vol.2
  • 11
    • 33750516777 scopus 로고    scopus 로고
    • Stochastic geometry of spatially structured birth-and-growth processes. Application to crystallization processes
    • Merzbach, E. (ed) Topics in Spatial Stochastic Processes. Springer, Heidelberg
    • Capasso, V., Micheletti, A.: Stochastic geometry of spatially structured birth-and-growth processes. Application to crystallization processes. In: Merzbach, E. (ed) Topics in Spatial Stochastic Processes. Lecture Notes in Mathematics (CIME Subseries), 1802, Springer, Heidelberg (2002)
    • (2002) Lecture Notes in Mathematics (CIME Subseries) , vol.1802
    • Capasso, V.1    Micheletti, A.2
  • 13
    • 15244360296 scopus 로고    scopus 로고
    • Survival functions and contact distribution functions for inhomogeneous, stochastic geometric marked point processes
    • Capasso, V., Villa, E.: Survival functions and contact distribution functions for inhomogeneous, stochastic geometric marked point processes. Stoch. Anal. Appl., 23, 79-96 (2005).
    • (2005) Stoch. Anal. Appl. , vol.23 , pp. 79-96
    • Capasso, V.1    Villa, E.2
  • 16
    • 0742288806 scopus 로고    scopus 로고
    • A local Steiner-type formula for general closed sets and applications
    • Hug, D., Last, G., Weil, W.: A local Steiner-type formula for general closed sets and applications. Math. Z., 246, 237-272 (2004)
    • (2004) Math. Z. , vol.246 , pp. 237-272
    • Hug, D.1    Last, G.2    Weil, W.3
  • 17
    • 0000732349 scopus 로고
    • Reaction Kinetics in processes of nucleation and growth
    • Johnson, W.A., Mehl, R.F.: Reaction Kinetics in processes of nucleation and growth. Trans. A.I.M.M.E., 135, 416-458 (1939)
    • (1939) Trans. A.I.M.M.E. , vol.135 , pp. 416-458
    • Johnson, W.A.1    Mehl, R.F.2
  • 18
    • 0000053713 scopus 로고
    • On the statistical theory of the crystallization of metals
    • Kolmogorov, A.N.: On the statistical theory of the crystallization of metals. Bull. Acad. Sci. USSR, Math. Ser., 1, 355-359 (1937)
    • (1937) Bull. Acad. Sci. USSR, Math. Ser. , vol.1 , pp. 355-359
    • Kolmogorov, A.N.1
  • 20
    • 0003833931 scopus 로고
    • Marked point processes on the real line
    • Springer, New York
    • Last, G., Brandt, A.: Marked Point Processes on the Real Line. The Dynamic Approach. Springer, New York (1995)
    • (1995) The Dynamic Approach
    • Last, G.1    Brandt, A.2
  • 21
    • 14344255737 scopus 로고    scopus 로고
    • Set valued maps for image segmentation
    • Lorenz, T.: Set valued maps for image segmentation. Comput. Visual. Sci., 4, 41-57 (2001)
    • (2001) Comput. Visual. Sci. , vol.4 , pp. 41-57
    • Lorenz, T.1
  • 22
    • 0000605457 scopus 로고
    • Random Johnson-Mehl tessellations
    • Møller, J.: Random Johnson-Mehl tessellations. Adv. in Appl. Probab., 24, 814-844 (1992)
    • (1992) Adv. in Appl. Probab. , vol.24 , pp. 814-844
    • Møller, J.1
  • 23
    • 33750510955 scopus 로고    scopus 로고
    • A stochastic particle model for vasculogenesis: A multiple scale approach
    • Capasso, V. (ed.) The MIRIAM Project Series, ESCULAPIO Pub. Co., Bologna
    • Morale, D.: A stochastic particle model for vasculogenesis: a multiple scale approach. In: Capasso, V. (ed.) Mathematical Modelling and Computing in Biology and Medicine. The MIRIAM Project Series, ESCULAPIO Pub. Co., Bologna (2003)
    • (2003) Mathematical Modelling and Computing in Biology and Medicine
    • Morale, D.1
  • 24
    • 0345373937 scopus 로고    scopus 로고
    • Modeling the early stages of vascular network assembly
    • Serini, G., et al.: Modeling the early stages of vascular network assembly. EMBO J., 22, 1771-1779 (2003)
    • (2003) EMBO J. , vol.22 , pp. 1771-1779
    • Serini, G.1
  • 27
    • 33750495023 scopus 로고    scopus 로고
    • Computer modelling of microscopic features of molluscan shells
    • Sekimura, T., et al. (eds). Springer, Tokyo
    • Ubukata, T.: Computer modelling of microscopic features of molluscan shells. In: Sekimura, T., et al. (eds) Morphogenesis and Pattern Formation in Biological Systems. Springer, Tokyo (2003)
    • (2003) Morphogenesis and Pattern Formation in Biological Systems
    • Ubukata, T.1
  • 28
    • 0002222913 scopus 로고
    • Random processes of Hausdorff rectifiable closed sets
    • Zähle, M.: Random processes of Hausdorff rectifiable closed sets. Math. Nachr., 108, 49-72 (1982)
    • (1982) Math. Nachr. , vol.108 , pp. 49-72
    • Zähle, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.