List of Publications


  1. Counting the number of stationary solutions of Partial Differential Equations via infinite dimensional sampling (with M. Kolodziejkzyk, G. Simpson), 2024. arxiv

  2. A Multiscale Perspective on Maximum Marginal Likelihood Estimation (with D. Akyildiz, I. Souttar), 2024. arxiv

  3. McKean-Vlasov SPDEs with additive noise as limits of weighted interacting particle systems. Invited contribution to Springer/Birkhauser Trends in Mathematics series, volume Women in Analysis and PDEs, to appear (with L. Angeli, D.Crisan, M. Kolodziejczyk), 2024.

  4. Intent matters: how flow and forms of information impact collective navigation (with T. Hodgson, S. T. Johnston, K. Painter), 2023 biorxiv .

  5. Approximation of non-linear SPDEs with additive noise via weighted interacting particle systems: the Stochastic McKean-Vlasov equation. (with L. Angeli, D.Crisan, M. Kolodziejczyk), 2024. arxiv

  6. On the study of slow-fast dynamics, when the fast process has multiple invariant measures (with B. Goddard, K. Painter, I. Souttar), 2023 arvix .

  7. Uniform in time convergence of numerical schemes for stochastic differential equations via Strong Exponential stability: Euler methods, Split-Step and Tamed Schemes (with L. Angeli and D.Crisan), 2023 arvix .

  8. Well-posedness and stationary solutions of McKean-Vlasov (S)PDEs (with L. Angeli, J. Barre, M. Kolodziejczyk), J. Math. Anal. and Appl., 2023. -- The published version of this paper contains a mistake, which we have rectified in this version . The mistake was in the assumption of formula (2.4). The (stronger) assumption of the new formula (2.4) is needed in the proof of Proposition 5.3 only.

  9. Non-mean-field Vicsek-type models for collective behaviour (with P. Butta', B. Goddard, T. M. Hodgson, K.J. Painter), Mathematical Models and Methods in the Applied Sciences, 2022 arvix

  10. Poisson Equations with locally-Lipschitz coefficients and Uniform in Time Averaging for Stochastic Differential Equations via Strong Exponential Stability (with D. Crisan, P.Dobson, B. Goddard, I. Souttar), arvix preprint (2022)

  11. Non-reversible Processes: GENERIC, Hypocoercivity and fluctuations. (with H. Doung), Nonlinearity, 2022 arvix

  12. Fast non mean-field networks: uniform in time averaging (with J. Barre, P.Dobson and E. Zatorska), SIAM analysis (2021) arxiv 2003.14230

  13. Uniform in time estimates for the weak error of the Euler method for SDEs and a pathwise approach to derivative estimates for diffusion semigroups. (with D. Crisan and P.Dobson), Trans. AMS (2020) arxiv 1905.03524

  14. Reversible and Non-reversible MCMC for reservoir simulation problems (with I. Fursov, G. Lord and P.Dobson), Computational Geosciences (2020) arxiv 1903.06960

  15. Long-time behaviour of Degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes (with T. Cass, D. Crisan, P. Dobson), Electronic Journal of Probability. (2020) arxiv 1805.01350

  16. A non-linear kinetic model of self-propelled particles with multiple equilibria (with. P.Butta, F.Flandoli and B. Zegarlinski) arxiv 1804.01247 Kinetic and Related Models (2019)

  17. Optimal Scaling of the MALA algorithm with irreversible proposals for Gaussian targets (with N. Pillai and K. Spiliopoulos) SPDE, 2019 - PDF

  18. Diffusion Limit for the Random Walk Metropolis Algorithm out of stationarity (with J. Kuntz and A.M. Stuart) PDF - Ann. Inst. Henri Poincare (2019)

  19. Non-stationary phase of the MALA algorithm (with J. Kuntz and A.M. Stuart) PDF - SPDE, 2018

  20. Pointwise gradient bounds for degenerate semigroups (of UFG type). Proc. Royal Soc. Series A, 2016 (with D. Crisan) PDF

  21. Bounding stationary averages of diffusions via semidefinite programming. SIAM Journal on Scientific Computing (with M. Barahona, J. Kuntz and G.B. Stan), 2016 arxiv 1606.01153

  22. Markov semigroups with hypocoercive-type generator in Infinite Dimensions: Ergodicity and Smoothing, J.Func. Anal. 270 ,no. 9, 3173-3223 (2016) (with V. Kontis and B. Zegarlinski) PDF

  23. Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: an analytic approach. Infinite Dimensional Analysis, Quantum Probability and Related topics, 2017 (with V. Kontis and B. Zegarlinski)

  24. A function space HMC algorithm with second order Langevin diffusion limit. Bernoulli 22, (2016), no. 1, 60-106. (with F. Pinski, N. Pillai, A.M. Stuart) PDF

  25. Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators. J. Math. Anal. Appl. 429 (2015), no. 2, 676-712. (with G. Pavliotis and K. Pravda-Starov) arxiv 1411.6223

  26. Markov Chain Monte Carlo and Irreversibility, Reports on Math. Phys. (2016) PDF

  27. Exponential return to equilibrium for hypoelliptic quadratic systems. J. Funct. Anal. 262 (2012), no. 9, 4000-4039. (with G. Pavliotis and K. Pravda-Starov) arxiv 1106.2326

  28. Asymptotic analysis for the generalized Langevin equation. (with G. Pavliotis) Nonlinearity 24 (2011), no. 5, 1629-1653. PDF

  29. Long time asymptotics of a Brownian particle coupled with a random environment with non-diffusive feedback force. Stochastic Process. Appl. 122 (2012), no. 3, 844-884. PDF

  30. Markovian Approximation of classical open systems, AIP Conf. Proc. 1479, 912 (2012)

  31. Co-authored Section in book: Hypoellipticity and Hypocoercivity , in Stochastic processes and applications, by G. Pavliotis, Springer (2014)