TY - JOUR
T1 - A diffusion process with a self-similar random potential with two exponents, III
AU - Suzuki, Yuki
N1 - Publisher Copyright:
© 2020 Taylor & Francis Group, LLC.
PY - 2021
Y1 - 2021
N2 - We consider a new class of one-dimensional diffusion processes with self-similar random potentials. The self-similar random potential has different exponents to the left and the right hand sides of the origin. We show that, because of the difference between the two exponents, the long-time behaviors of our process on the left and the right hand sides of the origin are quite different from each other.
AB - We consider a new class of one-dimensional diffusion processes with self-similar random potentials. The self-similar random potential has different exponents to the left and the right hand sides of the origin. We show that, because of the difference between the two exponents, the long-time behaviors of our process on the left and the right hand sides of the origin are quite different from each other.
KW - Random environment
KW - diffusion process
KW - self-similar process
UR - http://www.scopus.com/inward/record.url?scp=85089444799&partnerID=8YFLogxK
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U2 - 10.1080/07362994.2020.1803754
DO - 10.1080/07362994.2020.1803754
M3 - Article
AN - SCOPUS:85089444799
SN - 0736-2994
VL - 39
SP - 405
EP - 433
JO - Stochastic Analysis and Applications
JF - Stochastic Analysis and Applications
IS - 3
ER -