TY - JOUR
T1 - Transition density of diffusion on the Sierpinski gasket and extension of Flory's formula
AU - Hattori, Tetsuya
AU - Nakajima, Hideo
PY - 1995
Y1 - 1995
N2 - Some problems related to the transition density u(t,x) of the diffusion on the Sierpinski gasket are considered, based on recent rigorous results and detailed numerical calculations. The main contents are an extension of Flory's formula for the end-to-end distance exponent of self-avoiding walks on the fractal spaces, and evidence of the oscillatory behavior of u(t,x) on the Sierpinski gasket.
AB - Some problems related to the transition density u(t,x) of the diffusion on the Sierpinski gasket are considered, based on recent rigorous results and detailed numerical calculations. The main contents are an extension of Flory's formula for the end-to-end distance exponent of self-avoiding walks on the fractal spaces, and evidence of the oscillatory behavior of u(t,x) on the Sierpinski gasket.
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U2 - 10.1103/PhysRevE.52.1202
DO - 10.1103/PhysRevE.52.1202
M3 - Article
AN - SCOPUS:0008634482
VL - 52
SP - 1202
EP - 1205
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 1
ER -