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math.PR2013★ 9 cited
Hölder continuity and bounds for fundamental solutions to non-divergence form parabolic equations
Seiichiro Kusuoka
We consider the non-degenerate second-order parabolic partial differential equations of non-divergence form with bounded measurable coefficients (not necessary continuous). Under s…
math.PR2013
Characterization of the convergence in total variation and extension of the Fourth Moment Theorem to invariant measures of diffusions
Seiichiro Kusuoka, Ciprian Tudor
We give necessary and sufficient conditions to characterize the convergence in distribution of a sequence of arbitrary random variables to a probability distribution which is the i…