1. A counterexample to a nonlinear version of the Kreĭn–Rutman theorem by R. Mahadevan. (June 2018) Authors: Arapostathis, Ari Journal: Nonlinear analysis Issue: Volume 171(2018) Page Start: 170 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
2. Exponential ergodicity and steady-state approximations for a class of markov processes under fast regime switching. (March 2021) Authors: Arapostathis, Ari; Pang, Guodong; Zheng, Yi Journal: Advances in applied probability Issue: Volume 53:Number 1(2021) Page Start: 1 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
3. On the policy improvement algorithm for ergodic risk-sensitive control. Issue 4 (August 2021) Authors: Arapostathis, Ari; Biswas, Anup; Pradhan, Somnath Journal: Proceedings Issue: Volume 151:Issue 4(2021) Page Start: 1305 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
4. On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient. Issue 12 (2nd December 2019) Authors: Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis Journal: Communications in partial differential equations Issue: Volume 44:Issue 12(2019) Page Start: 1466 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
5. The Dirichlet problem for stable-like operators and related probabilistic representations. Issue 9 (1st September 2016) Authors: Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis Journal: Communications in partial differential equations Issue: Volume 41:Issue 9(2016) Page Start: 1472 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗