Research Output per year

## Fingerprint Dive into the research topics where Jan Severin Reimann is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Randomness
Mathematics

Hausdorff Dimension
Mathematics

Formal languages
Engineering & Materials Science

Stochasticity
Mathematics

Probability Measure
Mathematics

Normality
Mathematics

Theorem
Mathematics

Effective Dimension
Mathematics

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## Research Output 2000 2018

## Irrationality exponent, Hausdorff dimension and effectivization

Becher, V., Reimann, J. S. & Slaman, T. A., Feb 1 2018, In : Monatshefte fur Mathematik. 185, 2, p. 167-188 22 p.Research output: Contribution to journal › Article

Irrationality

Hausdorff Dimension

Exponent

Effective Dimension

Cantor

3
Citations
(Scopus)

## Symbolic analysis-based reduced order Markov modeling of time series data

Jha, D. K., Virani, N., Reimann, J. S., Srivastav, A. & Ray, A., Aug 1 2018, In : Signal Processing. 149, p. 68-81 14 p.Research output: Contribution to journal › Article

Time series

Bearings (structural)

Data storage equipment

Hamming distance

Finite automata

8
Citations
(Scopus)

## Measures and their random reals

Reimann, J. S. & Slaman, T. A., Jul 1 2015, In : Transactions of the American Mathematical Society. 367, 7, p. 5081-5097 17 p.Research output: Contribution to journal › Article

Atoms

Probability Measure

Turing Degrees

Cantor

Randomness

2
Citations
(Scopus)

## Independence, relative randomness, and PA degrees

Day, A. R. & Reimann, J. S., Feb 5 2014, In : Notre Dame Journal of Formal Logic. 55, 1, p. 1-10 10 p.Research output: Contribution to journal › Article

Randomness

Probability Measure

Theorem

Independence

1
Citation
(Scopus)

## The strength of the Besicovitch-Davies theorem

Kjos-Hanssen, B. & Reimann, J. S., Jul 29 2010,*Programs, Proofs, Processes - 6th Conference on Computability in Europe, CiE 2010, Proceedings.*p. 229-238 10 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 6158 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Theorem

Cantor

Reducibility

Hausdorff Dimension

If and only if