Research

Research Interests

1. Topological Dynamics

2. Symbolic Dynamics

3. Chaos Theory and its Applications

Research Projects

3. 1. Dynamics of Non-Autonomous Schmidt Games, NBHM (2023).

   2. Modeling Irrationality in N-person General Sum games, IIT Jodhpur (2023).

   3. On Graph Induced Symbolic Dynamics, MATRICS, DST (2020).

   4. Automorphism Groups of Induced Symbolic Systems, NBHM (2017).

Publications

1. 1. Deepanshu Dhawan and Puneet Sharma, Notions of Mixing and Sensitivities for Triangular map and its Non-Autonomous Components,  Appl. Gen. Topol. (Accepted).

   2. Sushmita Yadav and Puneet Sharma, Equivalence of Equicontinuity and Distality for Real Non-autonomous systems, Filomat (Accepted).

   3. Sushmita Yadav and Puneet Sharma, Dynamical behavior of a general non-autonomous Dynamical System, Appl. Gen. Topol., vol. 26, no. 1, pp. 203–219, Apr. 2025, doi:10.4995/agt.2025.21468.

   4. Ahmad Mir, S., Sharma, P., Randomness from Deterministic Chaos: A Novel Algorithm for Random Number Generation. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2025. ICCSA 2025. Lecture Notes in Computer Science, vol 15648. Springer, Cham. https://doi.org/10.1007/978-3-031-97000-9_2.

   5. Puneet Sharma, "On Stronger Dynamical Notions For A General Non-Autonomous Dynamical System", Topology Proceedings, 66 (2025), 49-57.

   6. Deepanshu Dhawan and Puneet Sharma, Various notions of shadowing in triangular system and its component systems, Topology and its Applications, Volume 357, 2024, 109109, ISSN 0166-8641, https://doi.org/10.1016/j.topol.2024.109109.

   7. Prashant Kumar and Puneet Sharma, "On Graph Induced Symbolic Systems", Appl. Gen. Topol., vol. 24, no. 2, pp. 359–378, Oct. 2023.  

   8. Puneet Sharma and Dileep Kumar; "Multidimensional Shifts And Finite Matrices", Topology Proceedings, 57 (2021), 241-257.

   9. N Arya, P Mrig, SK Bhatia, S Chauhan, P Sharma,  "Dynamical analysis of polluted prey-predator System with Infected Prey", Commun. Math. Biol. Neurosci., 2021, Article ID 32. 

   10. Siddharth Dwivedi, Andrea Addazi, Yang Zhou and Puneet Sharma; "Multi-boundary entanglement in Chern-Simons theory with finite gauge groups", Journal of High Energy Physics 2020, 158 (2020).

   11. Puneet Sharma and Dileep Kumar; "Matrix Characterization Of Multidimensional Subshifts Of Finite Type", Applied General Topology, 20 (2) 2019, 407-418.

   12. Manish Raghav and Puneet Sharma; "Alterations And Rearrangements Of A Non-Autonomous Dynamical System", Bulletin of Iranian Mathematical Society (2019) https://doi.org/10.1007/s41980-019-00206-6.

   13. Puneet Sharma and Manish Raghav; "On Dynamics Generated by a Uniformly Convergent Sequence of Maps", Topology and its Applications, 247 (2018), 81-90.

   14. Puneet Sharma and Manish Raghav; "Dynamics of Nonautonomous Discrete Dynamical Systems", Topology Proceedings, 52 (2018), 45-59.

   15. Puneet Sharma; "Induced Dynamics on the Hyperspaces", Applied General Topology, 17 (2) (2016), 93-104.

   16. S.G.Dani, Riddhi Shah and Puneet Sharma; "Affine Almost Automorphic Actions On Compact Nil-Manifolds", Ergodic Theory and Dynamical Systems, 35 (6) (2015), 1783-1794.

   17. Puneet Sharma; "Uniform Convergence And Dynamical Behavior Of A Discrete Dynamical System", Journal of Applied Mathematics and Physics, 3 (2015), 766-770.

   18. Rattandeep Singh, Sandeep Gupta, S. Raman, Prodyut Chakraborty, Puneet Sharma, Rakesh Kumar Sharma, Larry C. Brown, Xiaohua Wei & Anand Plappally; "Comparative analysis of hydrodynamics of treatment wetlands using finite volume models with empirical data", Desalination and Water Treatment, 55 (13) (2014), 3587-3612.

   19. Govind Salvi, Puneet Sharma and Shanmuganathan Raman; "Efficient Image Retargeting for High Dynamic Range Scenes", The 5th International Conference - The Next Generation Information Technology Summit, CONFLUENCE 2014, 543-548, IEEE.

   20. Anima Nagar and Puneet Sharma; "Combined Dynamics on Hyperspaces",Topology Proceedings, 38 (2011), 399-410.

   21. Puneet Sharma and Anima Nagar; "Inducing Sensitivity on Hyperspaces", Topology and its Applications, 157 (2010), 2052-2058.

   22. Puneet Sharma and Anima Nagar; "Topological Dynamics on Hyperspaces", Applied General Topology, 11 (1), 2010, 1-19.

   23. Puneet Sharma and Anima Nagar; "On Dynamics of Circle Maps", Far East Journal of Dynamical Systems, 10 (2) (2008), 185-201.

 Packages Developed

1. Mir, S.A., Sharma, P.:  PRNG, Pseudo-random number generator, R Package Version 0.0.2.1.2 (2024). https://doi.org/10.32614/CRAN.package.PRNG.