2018

Beskos, Alexandros, Roberts, Gareth O., Thiéry, Alexandre H. and Pillai, Natesh S. (2018) Asymptotic analysis of the random walk Metropolis algorithm on ridged densities. The Annals of Applied Probability, 28 (5). pp. 2966-3001. doi:10.1214/18-AAP1380

2014

Pillai, Natesh S., Stuart, A. M. and Thiéry, Alexandre H. (2014) Noisy gradient flow from a random walk in Hilbert space. Stochastic Partial Differential Equations: Analysis and Computations, 2 (2). pp. 196-232. doi:10.1007/s40072-014-0029-3

2013

Beskos, Alexandros, Pillai, Natesh S., Roberts, Gareth O., Sanz-Serna, Jesus and Stuart, A. M. (2013) Optimal tuning of the hybrid monte-carlo algorithm. Bernoulli, Volume 19 (Number 5a). pp. 1501-1534. doi:10.3150/12-BEJ414

2012

Mattingly, Jonathan C., Pillai, Natesh S. and Stuart, A. M. (2012) Diffusion limits of the random walk Metropolis algorithm in high dimensions. The Annals of Applied Probability, Vol.22 (No.3). pp. 881-930. doi:10.1214/10-AAP754

Pillai, Natesh S., Stuart, A. M. and Thiéry, Alexandre H. (2012) Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions. The Annals of Applied Probability, Vol.22 (No.6). pp. 2320-2356. doi:10.1214/11-AAP828

2011

Pillai, Natesh S., Stuart, A. M. and Thiéry, Alexandre H. (2011) Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2011 (No.8).

2009

Beskos, Alexandros, Roberts, Gareth O., Sanz-Serna, Chus, Stuart, A. M., Pillai, Natesh S. and Pinski, F. J. (2009) MCMC methods in high dimension. In: 2009-10 Program on Stochastic Dynamics Opening Tutorials & Workshops, Raleigh, NC, 30 Aug-2 Sep 2009 ISBN 978-0-7354-0709-1.

Hairer, Martin and Pillai, Natesh S. (2009) Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.38).

Mattingly, Jonathan C., McKinley, Scott A. and Pillai, Natesh S. (2009) Geometric erogdicity of a bead-spring pair with stochastic Stokes forcing. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.13).

Li, Wenbo V., Pillai, Natesh S. and Wolpert, Robert L. (2009) On the supremum of certain families of stochastic processes. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.14).

Mattingly, Jonathan C., Pillai, Natesh S. and Stuart, A. M. (2009) SPDE limits of the random walk Metropolis algorithm in high dimensions. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.19).