15 citations · 34 across the 9 of their papers we have counts for
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math.PR2016★ 1 cited
On singular stochastic differential equations and Dirichlet forms
Jiyong Shin, Gerald Trutnau
This survey paper is a structured concise summary of four of our recent papers on the stochastic regularity of diffusions that are associated to regular strongly local (but not nec…
math.PR2016★ 1 cited
Elliptic regularity results: n-regularized Liouville Brownian motion and non-symmetric diffusions associated with degenerate forms
Jiyong Shin
We apply improved elliptic regularity results to a concrete symmetric Dirichlet form and various non-symmetric Dirichlet forms with possibly degenerate symmetric diffusion matrix.…
math.PR2016
Strict decomposition of diffusions associated to degenerate (sub)-elliptic forms
Jiyong Shin
For given strongly local Dirichlet forms with possibly degenerate symmetric (sub)-elliptic matrix, we show the existence of weak solutions to the stochastic differential equations…