Papers in reverse chronological order.

Conference

1. A Weyl Criterion for Finite-State Dimension (joint work with Jack Lutz and Subin Pulari), 48^th Conference on Mathematical Foundations of Computer Science, Bordeaux, France, 2023. [PDF]
2. Effective Continued Fraction Dimension versus Effective Hausdorff Dimension of Reals (joint work with Akhil S. and Prateek Vishnoi), 48^th Conference on Mathematical Foundations of Computer Science, Bordeaux, France, 2023. [PDF]
3. Real numbers equally compressible in every base (joint work with Subin Pulari), [PDF], 40^th Symposium on Theoretical Aspects of Computer Science, Hamburg, 2023. (invited to the special issue)
4. Finite-State Relative Dimension and the Dimensions of AP Subsequences (joint work with Subin Pulari and Akhil S), 17^th Annual Conference on Theory and Applications of Models of Computation 2022, Tianjin, China, 2022. [PDF]
5. Ergodic theorems and converses for PSPACE functions (joint work with Subin Pulari), 46^th International Symposium on the Mathematical Foundations of Computer Science 2021, Tallin, Estonia. [ArXiv]
6. Randomness and effective dimension of continued fractions (joint work with Prateek Vishnoi), 45^th International Symposium on the Mathematical Foundations of Computer Science 2020, Prague, Czech Republic.[PDF]
7. On Resource-Bounded van Lambalgen's Theorems (joint work with Diptarka Chakraborty and Himanshu Shukla), 14^th Annual Conference on Theory and Applications of Models of Computation, Bern 2017. [PDF]
8. Dimension, Pseudorandomness and Extraction of Pseudorandomness (joint work with Manindra Agrawal, Diptarka Chakraborty and Debarati Das), 35^th Foundations of Software Technology and Theoretical Computer Science, Bangalore 2015. [PDF]
9. Multiple Recurrence and Algorithmic Randomness (joint work with Rodney G. Downey and André Nies), 10^th International Conference on Computability and Randomness, Heidelberg, Germany, 2015. [PDF]
10. Ornstein Isomorphism and Algorithmic Randomness (joint work with Mrinalkanti Ghosh and Atanu Pal), 9^th International Conference on Computability and Randomness, Singapore, 2014. [PDF]
11. Normality and Finite-State Dimension of Liouville Numbers (joint work with Santosh Kumar Vangepalli.) 8^thInternational Conference on Computability and Randomness, Moscow, Russia, 2013. (invited to the Special Issue) [PDF]
12. Predictive Complexity and Generalized Entropy of Stationary Ergodic Processes, (joint work with Mrinalkanti Ghosh), 23^rd Conference on Algorithmic Learning Theory, Lyon, France, 2012.[PDF]
13. Axiomatizing Resource Bounded Measure (joint work with Xiaoyang Gu, Jack Lutz and Jim Royer),7^th conference on Computability in Europe, Sofia, Bulgaria, 2011. [PDF]
14. An Effective Ergodic Theorem and Some Applications, 40^th ACM Annual Symposium on Theory of Computing, Victoria, BC, Canada, 2008.[PDF]
15. A Characterization of Constructive Dimension, Computability and Complexity in Analysis, Siena, Tuscany, Italy, 2007. [Slides] (This paper unfortunately contains an error, which was corrected in the journal version.)
16. Finite State Dimension and Real Arithmetic, (joint work with David Doty and Jack Lutz) 33^rd International Colloquium on Automata, Logic and Programming, Venice, Italy, 2006.[PDF] [PS]

Journal

1. Ergodic theorems and converses for PSPACE functions (joint work with Subin Pulari). Theory of Computing Systems (accepted for publication).
2. On continued fractions and normality (joint work with Prateek Vishnoi). Information and Computation(accepted for publication).
3. An analogue of Pillai's theorem for continued fraction normality and and application to subsequences (joint work with Subin Pulari, Prateek Vishnoi and Gopal Viswanathan). Bulletin of the London Mathematical Society, 53(5):1414-1428, 2021. [PDF]
4. A weak-2 generic which bounds a minimal degree, (joint work with Rod Downey). Journal of Symbolic Logic 84(4): 1326-1347, 2019. [PDF]
5. Martin-Löf randomness implies multiple recurrence in effectively closed sets, (joint work with Rod Downey and André Nies), Notre Dame of Formal Logic, 60(3):491-502, 2019.[PDF]
6. Dimension, Pseudorandomness and Extraction of Pseudorandomness (joint work with Manindra Agrawal, Diptarka Chakraborty and Debarati Das), Computability vol. 6, no. 3, pp. 277-305, 2017. [PDF]
7. Normality and Finite-State Dimension of Liouville Numbers (joint work with Santosh Kumar Vangepalli.) Special Issue for CCR 2013, Theory of Computing Systems, 8 June 2014 (online), pages 1-11.
8. A Characterization of Constructive Dimension, Mathematical Logic Quarterly, 55 (3), 271-286, 2009.[PDF]
9. Finite State Dimension and Real Arithmetic(joint work with Dave Doty and Jack Lutz), Information and Computation, 205 (207), pp. 1640-1651, 2007.

Workshop

1. Axiomatizing Resource Bounded Measure (joint work with Xiaoyang Gu, Jack Lutz and Jim Royer), Logic and Computational Complexity, 2009. arXiv:1102.2095v1[PDF]

Preprints

1. Martingales and Restricted Ratio Betting (joint work with Keng Meng Ng and S. Masulkar), [PDF]

Ph D. Thesis

Co-authors (alphebetical order)