Publication list
Differentiable and topological dynamics
S. Das, J. Yorke, 2020 Crinkled changes of variables Non. dyn. (2020), 102
S Das. Universal Bound on the Measure of Periodic Windows of Parameterized Circle Maps, Topology Proc., (2018), 52, 179-187 (preprint here)
S Das, J Yorke. Multi-chaos from Quasiperiodicity, SIAM J. App. Dyn. Syst. (2017), 16.4, 2196-2212. (preprint here)
S Das. Dense saddles in torus maps✎ EditSign, Topology Proceedings (2015), 47, 177-190.
S Das, J Yorke. Avoiding extremes in chaotic systems, J. Diff. Eq. App. (July 2015), 22.2, 217-234. (preprint here)
S Das. Almost-sure quasiperiodicity in countably many co-existing circles
Ergodic theory
S Das, et. al. Measuring quasiperiodicity, Europhysics Lett. (2016), 114.4, 40005-40012. (preprint here)
S Das, J Yorke. Super convergence of ergodic averages for quasiperiodic orbits, Nonlinearity, (2018), 31.2, 391. (preprint here)
S Das, Y Saiki, E Sander, J Yorke. Quantitative Quasiperiodicity, Nonlinearity (2017), 30.11, 4111. (preprint here)
T Berry, S Das. Learning theory for dynamical systems, SIAM J. Appl. Dyn. Sys., (2023), 22.3, (preprint here) .
S Das. Reconstructing dynamical systems as zero-noise limits, (2024), (preprint here) .
S Das. Discrete-time dynamics, step-skew products, and pipe-flows, (2024), (preprint here) .
Operator theory and dynamics
D Giannakis, S Das, J Slawinska. Reproducing kernel Hilbert space compactification of unitary evolution groups Appl. Comput. Harm. Anal. (2021) 54. (preprint here)
S Das, D Giannakis. Koopman spectra in reproducing kernel Hilbert spaces Appl. Comput. Harm. Anal. (2020) 49.2 (preprint here)
D Giannakis, S Das. Extraction and Prediction of Coherent Patterns in Incompressible Flows through Space-Time Koopman Analysis Phys. D (2019), 402:132211. (preprint here)
S Das, D Giannakis. Delay-coordinate maps and the spectra of Koopman operators J. Stat.Phys. (2019), 175 (preprint here)
S Das. Lie group valued Koopman eigenfunctions Nonlinearity (2023), 36.5 (preprint here)
S Das. Smooth Koopman eigenfunctions, (2023) (preprint here).
S Das, D Giannakis, Y Gu, J Slawinska. Learning Dynamical Systems with the Spectral Exterior Calculus (2024). (preprint here)
Applied dynamical systems
S. Mustavee, S. Agarwal, C. Enyioha, S. Das. A Linear Dynamical Perspective on Epidemiology: Interplay Between Early {C}OVID-19 Outbreak and Human Activity .
S Das, Y Saiki, E Sander, J Yorke. Solving the Babylonian Problem of quasiperiodic rotation rates, Discrete Contin. Dyn. Syst. (2018), 12.8, (preprint here)
S Das, J Yorke. Quasiperiodicity:Rotation numbers, The Foundations of Chaos Revisited: From Poincare to Recent Advancements (2016), 23-37.
Numerical methods for dynamical systems
Physics-informed machine learning for reconstruction of dynamical systems with invariant measure score matching - Y. Chen, S. Das, W. Guo, X. Zhong
S. Mustavee, S. Das, S. Agarwal. Data-driven discovery of quasiperiodically driven dynamics Nonlinear Dynamics (2024) (preprint here).
S. Das, S. Mustavee, S. Agarwal, S. Hassan. Koopman-Theoretic Modeling of Quasiperiodically Driven Systems: Example of Signalized Traffic Corridor, IEEE Trans. SMC Systems (2023), 53.4 (preprint here).
S. Mustavee, S. Agarwal, C. Enyioha, S. Das. A Linear Dynamical Perspective on Epidemiology: Interplay Between Early {C}OVID-19 Outbreak and Human Activity .
S. Das. Drift estimation in stochastic flows using kernel integral operators (preprint here).
T. Berry, S. Das. Limits of learning Dynamical Systems (2024) (preprint here)
Category theory and Dynamics
S. Das. The categorical basis of dynamical entropy. Applied Categorical Structures (2024), 32.8, (preprint here)
S. Das, T. Suda. Dynamics, data and reconstruction (2024). (preprint here)
Information and computability theory
S. Das, D. Giannakis, E. Szekely. An information-geometric approach for feature extraction in ergodic dynamical systems
M. Burr, Michael, S. Das, C. Wolf, Y. Yang. Computability of topological pressure on compact shift spaces beyond finite type (preprint here ).
Operator theory, Harmonic analysis
S. Das, D. Giannakis. Reproducing kernel Hilbert algebras on compact Lie groups. J. Funct. Anal. Appl. (2023), 29.13 ( preprint here )
S. Das. Conditional expectation using compactification operators Appl. Comput. Harmonic Anal. (2024), 71 (preprint here).
Miscellaneous
S Das, S R Chowdhury, H Saha. Accuracy enhancement in a fuzzy expert decision making system through appropriate determination of membership functions and its application in a medical diagnostic decision making system, Journal of medical systems (2012), 36.3, 1607-1620.
Books
বাঁধাইতত্ত্ব - ধাঁচকাঠামোর নিরিখে গণিতের নতুন ঢালাই (transl. Rethinkinking Mathematics using Category theory)