scholarly journals On self-adjointness of symmetric diffusion operators

2020 ◽  
Author(s):  
Derek W. Robinson
Keyword(s):  
Symmetric Diffusion

Weak convergence of symmetric diffusion processes

1997 ◽  
Vol 109 (2) ◽  
pp. 159-182 ◽  
Author(s):  
Kazuhiro Kuwae ◽  
Toshihiro Uemura
Keyword(s):  
Weak Convergence ◽  
Diffusion Processes ◽  
Symmetric Diffusion

Time-reversible diffusions

1978 ◽  
Vol 10 (04) ◽  
pp. 819-835 ◽  
Author(s):  
John Kent
Keyword(s):  
Large Family ◽  
Equilibrium Density ◽  
Manifolds With Boundary ◽  
Symmetric Diffusion

Symmetric diffusions on manifolds with boundary are studied. Symmetric diffusions are nicer to work with than non-symmetric diffusions because (1) it is easier to tell if an equilibrium density exists, and (2) it is easier to find the equilibrium density when it does exist. If an equilibrium density exists, a symmetric diffusion istime reversible.On the line essentiallyalldiffusions are symmetric.Using symmetric diffusions, it is shown that a large family of densities can be realized as equilibrium densities of time-reversible diffusions. Some examples are given.

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