Geodesic
Killed Random Processes and Heat Kernels [Erratum]
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1

Voir la notice de l'article provenant de la source Math-Net.Ru

In J. Villarroel “Killed random processes and heat kernels” (Vol. 144, No. 2, August, 2005) on page 1238, the sentence before (2) should be: "We suppose that given that $\widehat B_t=x\in\mathbb{R}$ ($\widehat B_t$ took a value $x$ and hence has not yet been killed), the probability of being killed at any time $t+h>t$ is $O(h)\dots$" On page 1239, the expression for $\zeta(t;p\mid x')$ after Eq. (6) should be: $$ \zeta(t;p\mid x')\equiv\int f(t,x;p\mid x')\,dx=\int_0^{\infty}e^{-pz}\pi(t,z\mid x')\,dz. $$
Keywords: Brownian motion, heat equation propagator. 
@article{TMF_2005_145_1_a8,
     author = {Kh. Villarroel},
     title = {Killed {Random} {Processes} and {Heat} {Kernels} {[Erratum]}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {144},
     publisher = {mathdoc},
     volume = {145},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a8/}
}
TY  - JOUR
AU  - Kh. Villarroel
TI  - Killed Random Processes and Heat Kernels [Erratum]
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2005
SP  - 144
VL  - 145
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a8/
LA  - ru
ID  - TMF_2005_145_1_a8
ER  - 
%0 Journal Article
%A Kh. Villarroel
%T Killed Random Processes and Heat Kernels [Erratum]
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2005
%P 144
%V 145
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a8/
%G ru
%F TMF_2005_145_1_a8
Kh. Villarroel. Killed Random Processes and Heat Kernels [Erratum]. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1. http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a8/