-
1
-
-
0035359357
-
On a coverage process ranging from the Boolean model to the Poisson-Voronoi tessellation with applications to wireless communications
-
BACCELLI, F. and BŁASZCZYSZYN, B. (2001). On a coverage process ranging from the Boolean model to the Poisson-Voronoi tessellation with applications to wireless communications. Adv. in Appl. Probab. 33 293-323.
-
(2001)
Adv. in Appl. Probab.
, vol.33
, pp. 293-323
-
-
Baccelli, F.1
BŁaszczyszyn, B.2
-
2
-
-
21744443011
-
Stochastic geometry and architecture of communication networks
-
BACCELLI, F., KLEIN, M., LEBOURGES, M. and ZUYEV, Z. (1997). Stochastic geometry and architecture of communication networks. J. Telecommunication Systems 2 209-227.
-
(1997)
J. Telecommunication Systems
, vol.2
, pp. 209-227
-
-
Baccelli, F.1
Klein, M.2
Lebourges, M.3
Zuyev, Z.4
-
3
-
-
0039346828
-
On the area and perimeter of a random convex hull in a bounded convex set
-
BRÄKER, H. and HSING, T. (1998). On the area and perimeter of a random convex hull in a bounded convex set. Probab. Theory Related Fields 111 517-550.
-
(1998)
Probab. Theory Related Fields
, vol.111
, pp. 517-550
-
-
Bräker, H.1
Hsing, T.2
-
4
-
-
0036955217
-
The distributions of the smallest disks containing the Poisson-Voronoi typical cell and the Crofton cell in the plane
-
CALKA, P. (2002). The distributions of the smallest disks containing the Poisson-Voronoi typical cell and the Crofton cell in the plane. Adv. in Appl. Probab. 34 702-717.
-
(2002)
Adv. in Appl. Probab.
, vol.34
, pp. 702-717
-
-
Calka, P.1
-
5
-
-
0141607465
-
An explicit expression of the distribution of the number of sides of the typical Poisson-Voronoi cell
-
CALKA, P. (2003). An explicit expression of the distribution of the number of sides of the typical Poisson-Voronoi cell. Adv. in Appl. Probab. 35 863-870.
-
(2003)
Adv. in Appl. Probab.
, vol.35
, pp. 863-870
-
-
Calka, P.1
-
6
-
-
0042380129
-
Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process
-
CALKA, P. (2003). Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process. Adv. in Appl. Probab. 35 551-562.
-
(2003)
Adv. in Appl. Probab.
, vol.35
, pp. 551-562
-
-
Calka, P.1
-
7
-
-
0029004611
-
The volume of atoms on the protein surface: Calculated from simulation, using Voronoi polyhedra
-
GERSTEIN, M., TSAI, J. and LEVITT, M. (1995). The volume of atoms on the protein surface: Calculated from simulation, using Voronoi polyhedra. Journal of Molecular Biology 249 955-966.
-
(1995)
Journal of Molecular Biology
, vol.249
, pp. 955-966
-
-
Gerstein, M.1
Tsai, J.2
Levitt, M.3
-
8
-
-
0000579421
-
Random subdivisions of space into crystals
-
GILBERT, E. N. (1962). Random subdivisions of space into crystals. Ann. Math. Statist. 33 958-972.
-
(1962)
Ann. Math. Statist.
, vol.33
, pp. 958-972
-
-
Gilbert, E.N.1
-
9
-
-
0032237131
-
Sur une conjecture de D. G. Kendall concernant la cellule de Crofton du plan et sur sa contrepartie brownienne
-
GOLDMAN, A. (1998). Sur une conjecture de D. G. Kendall concernant la cellule de Crofton du plan et sur sa contrepartie brownienne. Ann. Probab. 26 1727-1750.
-
(1998)
Ann. Probab.
, vol.26
, pp. 1727-1750
-
-
Goldman, A.1
-
12
-
-
2142640516
-
The limit shape of the zero cell in a stationary Poisson hyperplane process
-
HUG, D., REITZNER, M. and SCHNEIDER, R. (2004). The limit shape of the zero cell in a stationary Poisson hyperplane process. Ann. Probab. 32 1140-1167.
-
(2004)
Ann. Probab.
, vol.32
, pp. 1140-1167
-
-
Hug, D.1
Reitzner, M.2
Schneider, R.3
-
13
-
-
0012483780
-
A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons
-
KOVALENKO, I. N. (1999). A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons. J. Appl. Math. Stochastic Anal. 12 301-310.
-
(1999)
J. Appl. Math. Stochastic Anal.
, vol.12
, pp. 301-310
-
-
Kovalenko, I.N.1
-
14
-
-
0001008606
-
On the approximation of a ball by random polytopes
-
KÜFER, K.-H. (1994). On the approximation of a ball by random polytopes. Adv. in Appl. Probab. 26 876-892.
-
(1994)
Adv. in Appl. Probab.
, vol.26
, pp. 876-892
-
-
Küfer, K.-H.1
-
15
-
-
0029273858
-
Thermal conductivity of polycrystalline materials
-
KUMAR, S. and SINGH, R. N. (1995). Thermal conductivity of polycrystalline materials. J. Amer. Ceramics Soc. 78 728-736.
-
(1995)
J. Amer. Ceramics Soc.
, vol.78
, pp. 728-736
-
-
Kumar, S.1
Singh, R.N.2
-
16
-
-
0034268627
-
On the LLN for the number of vertices of a random convex hull
-
MASSÉ, B. (2000). On the LLN for the number of vertices of a random convex hull. Adv. in Appl. Probab. 32 675-681.
-
(2000)
Adv. in Appl. Probab.
, vol.32
, pp. 675-681
-
-
Massé, B.1
-
17
-
-
0003746585
-
Interface area, edge length, and number of vertices in crystal aggregates with random nucleation
-
MEIJERING, J. L. (1953). Interface area, edge length, and number of vertices in crystal aggregates with random nucleation. Philips Res. Rep. 8.
-
(1953)
Philips Res. Rep.
, pp. 8
-
-
Meijering, J.L.1
-
19
-
-
0002745625
-
The various aggregates of random polygons determined by random lines in a plane
-
MILES, R. E. (1973). The various aggregates of random polygons determined by random lines in a plane. Adv. Math. 10 256-290.
-
(1973)
Adv. Math.
, vol.10
, pp. 256-290
-
-
Miles, R.E.1
-
21
-
-
0011377213
-
Some properties of convex hulls generated by homogeneous Poisson point processes in an unbounded convex domain
-
NAGAEV, A. V. (1995). Some properties of convex hulls generated by homogeneous Poisson point processes in an unbounded convex domain. Ann. Inst. Statist. Math. 47 21-29.
-
(1995)
Ann. Inst. Statist. Math.
, vol.47
, pp. 21-29
-
-
Nagaev, A.V.1
-
22
-
-
0003760944
-
-
Wiley, Chichester
-
OKABE, A., BOOTS, B., SUGIHARA, K. and CHIU, S. N. (2000). Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd ed. Wiley, Chichester.
-
(2000)
Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd Ed.
-
-
Okabe, A.1
Boots, B.2
Sugihara, K.3
Chiu, S.N.4
-
23
-
-
0348222278
-
Random polytopes and the Efron-Stein jackknife inequality
-
REITZNER, M. (2003). Random polytopes and the Efron-Stein jackknife inequality. Ann. Probab. 31 2136-2166.
-
(2003)
Ann. Probab.
, vol.31
, pp. 2136-2166
-
-
Reitzner, M.1
-
24
-
-
0001888582
-
Über die konvexe Hülle von n zufällig gewählten Punkten
-
RÉNYI, A. and SULANKE, R. (1963). Über die konvexe Hülle von n zufällig gewählten Punkten. Z. Wahrsch. Verw. Gebiete 2 75-84.
-
(1963)
Z. Wahrsch. Verw. Gebiete
, vol.2
, pp. 75-84
-
-
Rényi, A.1
Sulanke, R.2
-
25
-
-
84986685654
-
Random approximation of convex sets
-
SCHNEIDER, R. (1988). Random approximation of convex sets. J. Microscopy 151 211-227.
-
(1988)
J. Microscopy
, vol.151
, pp. 211-227
-
-
Schneider, R.1
-
27
-
-
0345099687
-
Large deviation principle for set-valued union processes
-
SCHREIBER, T. (2000). Large deviation principle for set-valued union processes. Probab. Math. Statist. 20 273-285.
-
(2000)
Probab. Math. Statist.
, vol.20
, pp. 273-285
-
-
Schreiber, T.1
-
28
-
-
0011266358
-
Limit theorems for certain functionals of unions of random closed sets
-
SCHREIBER, T. (2002). Limit theorems for certain functionals of unions of random closed sets. Tear. Veroyatnost. i Primenen. 47 130-142.
-
(2002)
Tear. Veroyatnost. i Primenen.
, vol.47
, pp. 130-142
-
-
Schreiber, T.1
-
29
-
-
0036756372
-
Variance asymptotics and central limit theorems for volumes of unions of random closed sets
-
SCHREIBER, T. (2002). Variance asymptotics and central limit theorems for volumes of unions of random closed sets. Adv. in Appl. Probab. 34 520-539.
-
(2002)
Adv. in Appl. Probab.
, vol.34
, pp. 520-539
-
-
Schreiber, T.1
-
30
-
-
0345376255
-
Asymptotic geometry of high density smooth-grained Boolean models in bounded domains
-
SCHREIBER, T. (2003). Asymptotic geometry of high density smooth-grained Boolean models in bounded domains. Adv. in Appl. Probab. 35 913-936.
-
(2003)
Adv. in Appl. Probab.
, vol.35
, pp. 913-936
-
-
Schreiber, T.1
-
33
-
-
84990710893
-
Estimates for distributions of the Voronoi polygon's geometric characteristics
-
ZUYEV, S. A. (1992). Estimates for distributions of the Voronoi polygon's geometric characteristics. Random Structures Algorithms 3 149-162.
-
(1992)
Random Structures Algorithms
, vol.3
, pp. 149-162
-
-
Zuyev, S.A.1
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