Infinite-finite range inequalities and their sharpness

Author(s):  
Doron S. Lubinsky ◽  
Edward B. Saff
Keyword(s):  

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
C. Gonzalez-Boquera ◽  
M. Centelles ◽  
X. Viñas ◽  
L. M. Robledo
Keyword(s):  


1996 ◽  
Vol 28 (2) ◽  
pp. 346-355 ◽  
Author(s):  
A. J. Baddeley ◽  
M. N. M. Van Lieshout ◽  
J. Møller

We show that a Poisson cluster point process is a nearest-neighbour Markov point process [2] if the clusters have uniformly bounded diameter. It is typically not a finite-range Markov point process in the sense of Ripley and Kelly [12]. Furthermore, when the parent Poisson process is replaced by a Markov or nearest-neighbour Markov point process, the resulting cluster process is also nearest-neighbour Markov, provided all clusters are non-empty. In particular, the nearest-neighbour Markov property is preserved when points of the process are independently randomly translated, but not when they are randomly thinned.







2000 ◽  
Vol 33 (50) ◽  
pp. L497-L502
Author(s):  
L B Ioffe ◽  
D Sherrington
Keyword(s):  




1988 ◽  
Vol 37 (13) ◽  
pp. 7920-7923 ◽  
Author(s):  
R. M. Fleming ◽  
L. F. Schneemeyer ◽  
P. K. Gallagher ◽  
B. Batlogg ◽  
L. W. Rupp ◽  
...  




Sign in / Sign up

Export Citation Format

Share Document