Semimartingale with smooth density — The problem of "nodes"

Author(s):  
Zheng Weian
Keyword(s):  
2011 ◽  
Vol 26 (3) ◽  
pp. 722-749 ◽  
Author(s):  
Yaozhong Hu ◽  
Samy Tindel

2018 ◽  
Vol 128 (9) ◽  
pp. 3181-3219 ◽  
Author(s):  
Yasushi Ishikawa ◽  
Hiroshi Kunita ◽  
Masaaki Tsuchiya

1979 ◽  
Vol 22 (3) ◽  
pp. 293-298
Author(s):  
Dudley Paul Johnson

AbstractIn this paper we construct the hitting time distributions for stochastic processes Xk, taking on values amongst the integers 0, 1, …, d -1 for which has a smooth polynomial density with respect to the Lebesgue measure on [0,1].


2018 ◽  
Vol 14 (S343) ◽  
pp. 531-532
Author(s):  
M. Van de Sande ◽  
J. O. Sundqvist ◽  
T. J. Millar ◽  
D. Keller ◽  
L. Decin

AbstractThe chemistry within the outflow of an AGB star is determined by its elemental C/O abundance ratio. Thanks to the advent of high angular resolution observations, it is clear that most outflows do not have a smooth density distribution, but are inhomogeneous or “clumpy”. We have developed a chemical model that takes into account the effect of a clumpy outflow on its gas-phase chemistry by using a theoretical porosity formalism. The clumpiness of the model increases the inner wind abundances of all so-called unexpected species, i.e. species that are not predicted to be present assuming an initial thermodynamic equilibrium chemistry. By applying the model to the distribution of cyanopolyynes and hydrocarbon radicals within the outflow of IRC+10216, we find that the chemistry traces the underlying density distribution.


Fractals ◽  
2001 ◽  
Vol 09 (03) ◽  
pp. 305-316 ◽  
Author(s):  
F. J. CANIEGO ◽  
M. A. MARTÍN ◽  
F. SAN JOSÉ

In this paper, several features of pore-size soil distribution are first analyzed, suggesting that they are closer to those of singular measures than to those of distributions with smooth density. In a second step, the weighted singularity strength of an experimental measure obtained by image analysis of soil samples is evaluated. The results of this analysis show the singular nature of pore-size distribution. Finally, the distribution is characterized by means of a spectrum of entropies computed on distorted measures associated with the original experimental measure.


1996 ◽  
Vol 46 (S1) ◽  
pp. 307-307 ◽  
Author(s):  
S. S. Nazin ◽  
V. B. Shikin

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