21 citations · 170 across the 25 of their papers we have counts for
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math.PR2013★ 1 cited
Pointwise weak existence of distorted skew Brownian motion with respect to discontinuous Muckenhoupt weights
Jiyong Shin, Gerald Trutnau
For any starting point in , we identify the stochastic differential equation that is satisfied by distorted Brownian motion with respect to a certain discontinuous Mu…
math.PR2013★ 16 cited
On countably skewed Brownian motion with accumulation point
Youssef Ouknine, Francesco Russo, Gerald Trutnau
In this work we connect the theory of Dirichlet forms and direct stochastic calculus to obtain strong existence and pathwise uniqueness for Brownian motion that is perturbed by a s…
math.PR2013★ 4 cited
Explicit recurrence criteria for symmetric gradient type Dirichlet forms satisfying a Hamza type condition
Minjung Gim, Gerald Trutnau
In this note, we present explicit conditions for symmetric gradient type Dirichlet forms to be recurrent. This type of Dirichlet form is typically strongly local and hence associat…