Some of the PDF files are available here

Publications: Refereed - journal and conference

33. A.S. Reddy, Amarjit Budhiraja, A. Apte, "Some Large Deviation Asymptotics in Small Noise Filtering Problems," SIAM Journal on Control and Optimization, v.60(1), pp.385-409 (2022) https://doi.org/10.1137/21M142616X

32. P. Mandal, S. K. Roy and A. Apte, "Stability of nonlinear filters - numerical explorations of particle and ensemble Kalman filters," 2021 Seventh Indian Control Conference (ICC), pp. 307-312 (2021) https://doi.org/10.1109/ICC54714.2021.9703185

31. A.S. Reddy, A. Apte, “Stability of non-linear filter for deterministic dynamics,” Foundations of Data Science, v.3(3), pp.647-675 (2021) http://dx.doi.org/10.3934/fods.2021025

30. S. Ganapa, A. Apte, A. Dhar, “Thermalization of local observables in the α-FPUT chain,” Journal of Statistical Physics v.180, pp.1010–1030 (2020) doi:10.1007/s10955-020-02576-2

29. A.S. Reddy, A. Apte, S. Vadlamani, “Asymptotic Properties of linear filter for deterministic processes,” Systems & Control Letters v.139, pp.104676 (2020) doi:10.1016/j.sysconle.2020. 104676

28. A. Mitra, A. Apte, R. Govindarajan, V. Vasan, S. Vadlamani, “Spatio-temporal patterns of daily Indian summer monsoon rainfall,” Dynamics and Statistics of the Climate System v.3, dzy010 (2018) doi:10.1093/climsys/dzy010

27. A. Mitra, A. Apte, R. Govindarajan, V. Vasan, S. Vadlamani, “A discrete view of the Indian monsoon to identify spatial patterns of rainfall,” Dynamics and Statistics of the Climate System v.3, dzy009 (2018) doi:10.1093/climsys/dzy009

26. A. Apte, D. Auroux, M. Ramaswamy, “Observers for compressible Navier-Stokes equation,” SIAM Journal on Control and Optimization v.56, pp.1081-1104 (2018) doi:10.1137/ 16M1060601

25. A. Mitra, A. Apte, R. Govindarajan, V. Vasan, S. Vadlamani, “Tracking the propagation of planetary scale cloud zones over Indian ocean and south Asia with Markov random fields,” in V. Lyubchich, N.C. Oza, A. Rhines, and E. Szekely (editors), Proceedings of the 7th International Workshop on Climate Informatics: CI 2017, pp.9-12 (2017) doi:10.5065/ D6222SH7

24. A. Mitra, A. Apte, R. Govindarajan, V. Vasan, S. Vadlamani, “Finding active and break spells of Indian monsoon by Markov random fields,” in V. Lyubchich, N.C. Oza, A. Rhines, and E. Szekely (editors), Proceedings of the 7th International Workshop on Climate Informatics: CI 2017, pp.5-8 (2017) doi:10.5065/D6222SH7

23. M. Ray, A. Amodkar, A. Apte, “Data assimilation with Chua’s circuit,” Indian Academy of Sciences Conference Series v.1, pp.25-34 (2017) webpage

22. K.S. Gurumoorthy, C. Grudzien, A. Apte, A. Carrassi, C.K.R.T. Jones, “Rank deficiency of Kalman error covariance matrices in linear time-varying system with deterministic evolution,” SIAM Journal on Control and Optimization v.55, pp.741-759 (2017) doi:10.1137/ 15M1025839

21. M. Bocquet, K.S. Gurumoorthy, A. Apte, A. Carrassi, C. Grudzien, C.K.R.T. Jones, “Degenerate Kalman filter error covariances and their convergence onto the unstable subspace,” SIAM/ASA Journal on Uncertainty Quantification v.5, pp.304-333 (2017) doi:10.1137/16M1068712

20. L.C. Slivinski, E.T. Spiller, A. Apte, “A hybrid particle-ensemble Kalman filter for highdimensional Lagrangian data assimilation,” in S. Ravela, A. Sandu (editors), Dynamic DataDriven Environmental Systems Science DyDESS 2014, Lecture Notes in Computer Science v.8964, pp 263–273 (2015) doi:10.1007/978-3-319-25138-7 24

19. A. Apte, “An introduction to data assimilation,” in S. Sarkar, U. Basu, S. De (editors), Applied Mathematics, Springer Proceedings in Mathematics & Statistics v.146, pp.31–42 (2015) doi:10.1007/978-81-322-2547-8 4

18. L. Slivinski, E.T. Spiller, A. Apte, and B. Sandstede, “A hybrid particle-ensemble Kalman filter for Lagrangian data assimilation,” Monthly Weather Review v.143, pp.195–211 (2015) doi:10.1175/MWR-D-14-00051.1

17. E.T. Spiller, A. Apte, C.K.R.T. Jones, “Assimilating en-route Lagrangian observations,” Tellus A: Dynamic Meteorology and Oceanography v.65, pp.20319 (2013) doi:10.3402/ tellusa.v65i0.20319

16. A. Apte, C.K.R.T. Jones, “The impact of nonlinearity in Lagrangian data assimilation,” Nonlinear Processes in Geophysics v.20, pp.329–341 (2013) doi: 10.5194/npg-20-329-2013

15. Md. Nurujjaman, A. Apte, P. Vinayachandran, “Data assimilation using ensemble transform Kalman filter (ETKF) in ROMS model for Indian Ocean,” European Physical Journal Special Topics v.222, pp.875-883 (2013) doi:10.1140/epjst/e2013-01890-3

14. Md. Nurujjaman, S. Shivamurthy, A. Apte, T. Singla, P. Parmananda, “Effect of discrete time observations on synchronization in Chua model and applications to data assimilation,” Chaos v.22, pp.023125 (2012) doi:10.1063/1.4712591

13. A. Apte, “Renormalization group operators for maps and universal scaling of universal scaling exponents,” Physica D: Nonlinear Phenomena v.240, pp.317-322 (2010) doi:10.1016/ j.physd.2010.09.005

12. A. Apte, D. Auroux, M. Ramaswamy, “Variational data assimilation for discrete Burgers equation,” Electronic Journal of Differential Equations, Conference v.19, pp.15-30 (2010) webpage

11. A. Apte, C.K.R.T. Jones, A. M. Stuart, J. Voss, “Data assimilation: mathematical and statistical perspectives,” Int. J. Numer. Methods in Fluids v.56, pp.1033-1046 (2008) doi:10.1002/fld.1698

10. A. Apte, C.K.R.T. Jones, A. M. Stuart, “A Bayesian approach to Lagrangian data assimilation,” Tellus A: Dynamic Meteorology and Oceanography v.60, pp.336-347 (2008) doi:10.1111/j.1600-0870.2007.00295.x

9. T.B. Krause, A. Apte, P.J. Morrison, “A unified approach to the Darwin approximation,”Physics of Plasmas v.14, pp.102112 (2007) doi:10.1063/1.2799346

8. A. Apte, M. Hairer, A. M. Stuart, J. Voss, “Sampling the posterior an approach to non-Gaussian data assimilation,” Physica D: Nonlinear Phenomena v.230, pp.50-64 (2007) doi:10.1016/j.physd.2006.06.009

7. K. Fuchss, A. Wurm, A. Apte, P.J. Morrison, “Breakup of shearless meanders and ‘outer’ tori in the standard nontwist map,” Chaos v.16, pp.033120 (2006) doi:10.1063/1.2338026

6. A. Apte, R. de la Llave, E. Petrisor, “Comment on ‘Reconnection scenarios . . . ,’ Chaos Solitons and Fractals 2002;10(1):117-127,” Chaos, Solitons & Fractals v.27, pp.1115-1116 (2006) doi:10.1016/j.chaos.2004.12.018

5. A. Wurm, A. Apte, K. Fuchss, P.J. Morrison, “Meanders and reconnection-collision sequences in the standard nontwist map,” Chaos v.15, pp.023108 (2005) doi:10.1063/1.1915960

4. A. Apte, R. de la Llave, N.P. Petrov, “Regularity of critical invariant circles of the standard nontwist map,” Nonlinearity v.18, pp.1173-1187 (2005) doi:10.1088/0951-7715/18/3/013

3. A. Apte, A. Wurm, P.J. Morrison, “Renormalization for breakup of invariant tori,” Physica D: Nonlinear Phenomena v.200, pp.47-59 (2005) doi:10.1016/j.physd.2004.09.010

2. A. Wurm, A. Apte, P.J. Morrison, “On reconnection phenomena in the standard nontwist map,” Brazilian Journal of Physics v.34, pp.1700-1706 (2004) doi:10.1590/S0103-97332004000800035

1. A. Apte, A. Wurm, P.J. Morrison, “Renormalization and destruction of 1/γ2 tori in the standard nontwist map,” Chaos v.13, pp.421-433 (2003) doi:10.1063/1.1555472

Publications: Submitted, in preparation

1. A. Ghosh, S. Bhattacharyya, S. Sinha, A. Apte, “Parameter estimation in models with complex dynamics,” arxiv:1705.03868

Publications: Non-refereed, proceedings, reports

5. Hans Engler, Amit Apte, Pedro Leite Da Silva Dias, Maria J. Esteban, Edward Lungu, Claudia Sagastiz´abal, “Mathematicians and planetary challenges,”in Proceedings of the International Congress of Mathematicians (ICM 2018), pp.1111-1123 (2019) doi:10.1142/9789813272880 0039

4. Mathematics of planet earth 2013: “An interactive exhibition: mathematics for the billion” - ICTS website and Exhibition booklet

3. A. Apte, Ravi Nanjundiah, Vijay Chandru, Roddam Narasimha, Spenta Wadia, “Report of the ICTS program ‘Scientific discovery through intensive exploration of data’,” Submitted to the Scientific Advisory Committee to the Prime Minister of India, Apr 2011, and a shortened version to Current Science; http://sactopm.gov.in/SAC PM AR2011.pdf or link to archived version pp.91-98

2. A. Apte, C.K.R.T. Jones, A. M. Stuart, “A Bayesian approach to Lagrangian data assimilation: Langevin sampling and model error,” Proceedings of the International Conference on Recent Developments in Nonlinear Systems and Dynamics, Bharathidasan University, Tiruchirapalli, India, Feb 2008

1. A. Apte, “Wave–mean-flow interaction in Oldroyd-B fluid,” Proceedings of the 2003 Program in Geophysical Fluid Dynamics Woods Hole Oceanographic Institution, Woods Hole, MA 02543 USA Proceedings Volume 2003