45 citations · 131 across the 33 of their papers we have counts for
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math.PR2018
Simultaneous Small Noise Limit for Singularly Perturbed Slow-Fast Coupled Diffusions
Siva R. Athreya, Vivek S. Borkar, K. Suresh Kumar +1
We consider a simultaneous small noise limit for a singularly perturbed coupled diffusion described by \begin{eqnarray*} dX^{\varepsilon}_t &=& b(X^{\varepsilon}_t, Y^{\varepsilon}…
math.PR2018★ 5 cited
Central limit theorem for statistics of subcritical configuration models
Siva Athreya, D. Yogeshwaran
We consider sub-critical configuration models and show that the central limit theorem for any additive statistic holds when the statistics satisfies a fourth moment assumption, a v…
math.PR2018
Strong existence and uniqueness for stable stochastic differential equations with distributional drift
Siva Athreya, Oleg Butkovsky, Leonid Mytnik
We consider the stochastic differential equation where the drift is a generalized function and is a symmetric one dimensional -stable Lévy…