Overview
Background
My primary interest in research revolves around studying the statistical characteristics of dynamical systems, using a functional analytical approach to study the behaviour of "chaotic" dynamical systems. This method involves analysing the spectral properties of the transfer operator on suitable Banach spaces. I am also interested in studying the optimal control theory for statistical properties of chaotic dynamical systems. Additionally, I study dynamical systems from a topological point of view.
I am a postdoc (John Nesbit Fellow) at School of Mathematics and Physics in The University of Queensland.
Previously, I was a Research Fellow at Monash University with Prof. Warwick Tucker.
I received my PhD in Mathematics at University of Rome Tor Vergata, under the supervision of Prof. Carlangelo Liverani.
Availability
- Dr Sakshi Jain is:
- Available for supervision
Qualifications
- Bachelor (Honours) of Mathematics, University of Delhi
- Masters (Coursework) of Mathematics, University of Delhi
- Doctor of Philosophy of Mathematics, Università degli Studi di Roma Tor Vergata
Research interests
-
Dynamical systems
I study qualitative and quantitative statistical properties and optimal control theory for statistical properties of dynamical systems, including various chaotic systems, stochastic differential equations etc, from a transfer operator theoretic approach. I also study topological dynamics like shadowing properties of topological flows etc.
Works
Search Professor Sakshi Jain’s works on UQ eSpace
2025
Journal Article
Optimal response for stochastic differential equations by local kernel perturbations
Del Sarto, Gianmarco, Galatolo, Stefano and Jain, Sakshi (2025). Optimal response for stochastic differential equations by local kernel perturbations. Chaos, 35 (7) 073121. doi: 10.1063/5.0265433
2024
Journal Article
Piecewise contractions
Jain, Sakshi and Liverani, Carlangelo (2024). Piecewise contractions. Ergodic Theory and Dynamical Systems, 45 (5), 1503-1540. doi: 10.1017/etds.2024.78
2022
Journal Article
Discontinuities cause essential spectrum
Butterley, Oliver, Canestrari, Giovanni and Jain, Sakshi (2022). Discontinuities cause essential spectrum. Communications in Mathematical Physics, 398 (2), 627-653. doi: 10.1007/s00220-022-04531-6
2021
Journal Article
Ergodic decomposition
Jain, Sakshi and Faisal, Shah (2021). Ergodic decomposition. Indagationes Mathematicae, 32 (2), 375-393. doi: 10.1016/j.indag.2020.10.008
Supervision
Availability
- Dr Sakshi Jain is:
- Available for supervision
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