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Theoretical Computer Science, ISSN 0304-3975, 07/2016, Volume 635, pp. 35 - 50
Journal Article
Oikos, ISSN 0030-1299, 5/2010, Volume 119, Issue 5, pp. 896 - 896
Journal Article
Zagadnienia Filozoficzne w Nauce, ISSN 0867-8286, 12/2018, Volume 65, pp. 111 - 143
I show how classical and quantum physics approach the problem of randomness and probability. Contrary to popular opinions, neither we can prove that classical... 
randomness enhancement | randomness in classical and quantum physics | amplification of randomness | randomness | ontic and epistemic randomness
Journal Article
Experimental Mathematics, ISSN 1058-6458, 07/2017, Volume 26, Issue 3, pp. 306 - 307
Journal Article
The Journal of Symbolic Logic, ISSN 0022-4812, 9/2014, Volume 79, Issue 3, pp. 776 - 791
We extend our work on difference randomness. Each component of a difference test is a Boolean combination of two r.e. open sets; here we consider tests in... 
Randomness | Difference randomness | Omega-change | Weak Demuth randomness | Balanced randomness
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 11/2016, Volume 653, pp. 26 - 41
Hjorth and Nies proposed notions of randomness corresponding to the higher recursion setting. In particular, they defined the notion of Π -Martin-Löf... 
Higher randomness | Higher recursion | Algorithmic randomness
Journal Article
Theory of Computing Systems, ISSN 1432-4350, 11/2017, Volume 61, Issue 4, pp. 1353 - 1375
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 11/2016, Volume 653, pp. 26 - 41
Hjorth and Nies proposed notions of randomness corresponding to the higher recursion setting. In particular, they defined the notion of -Martin-Löf randomness.... 
Higher randomness | Higher recursion | Algorithmic randomness
Journal Article
Zagadnienia Filozoficzne w Nauce, ISSN 0867-8286, 12/2018, Issue 65, pp. 111 - 143
Journal Article
Journal of Symbolic Logic, ISSN 0022-4812, 12/2015, Volume 80, Issue 4, pp. 1131 - 1148
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 09/2019, Volume 60, Issue 9
We extend the key notion of Martin-Löf randomness for infinite bit sequences to the quantum setting, where the sequences become states of an infinite... 
Randomness | Sequences | Turing machines | Incompressibility
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 11/2016, Volume 653, pp. 26 - 41
Hjorth and Nies proposed notions of randomness corresponding to the higher recursion setting. In particular, they defined the notion of -Martin-Lof randomness.... 
Randomness | Topology | Recursion
Journal Article
The Journal of Symbolic Logic, ISSN 0022-4812, 3/2014, Volume 79, Issue 1, pp. 20 - 44
By the complexity of a finite sequence of 0's and 1's we mean the Kolmogorov complexity, that is the length of the shortest input to a universal recursive... 
Partial randomness | Martin-L¨of randomness | Kolmogorov complexity | Algorithmic randomness | Effective Hausdorff dimension | RANDOMNESS | MATHEMATICS | effective Hausdorff dimension | algorithmic randomness | Martin-Lof randomness | LOGIC
Journal Article
Science, ISSN 0036-8075, 03/2015, Volume 347, Issue 6229, pp. 1425 - 1425
  The life of Ivan Pavlov was characterized by both sluchainost' (chance and randomness) and pravil'nost' (regularity and lawfulness), two words which appear... 
Randomness | Biographies | Regularity | Transforms
Journal Article
Journal of Experimental Psychology: Human Perception and Performance, ISSN 0096-1523, 05/2018, Volume 44, Issue 5, pp. 663 - 680
Human randomness perception is commonly described as biased. This is because when generating random sequences humans tend to systematically under- and... 
Sequences | Bias | Cognitive ability | Randomness | Lay people | Perception | Experimental psychology | Sensory perception | cognitive bias | perception of randomness | Research Reports | gambler’s fallacy
Journal Article
2017 IEEE Symposium on Security and Privacy (SP), ISSN 1081-6011, 05/2017, pp. 444 - 460
Bias-resistant public randomness is a critical component in many (distributed) protocols. Generating public randomness is hard, however, because active... 
randomness beacon | Protocols | Scalability | Aggregates | Public key | verifiable randomness | distributed randomness | Servers | secret sharing | collective authority | Distributed randomness | Collective authority | Secret sharing | Randomness beacon | Verifiable randomness
Conference Proceeding
Annals of Mathematics, ISSN 0003-486X, 5/2019, Volume 189, Issue 3, pp. 653 - 705
We explicitly construct an extractor for two independent sources on bits, each with min-entropy at least log for a large enough constant Our extractor outputs... 
NONMALLEABLE EXTRACTORS | RANDOMNESS | MATHEMATICS | NON-MALLEABLE EXTRACTORS | Randomness extractors | Ramsey graphs | CRYPTOGRAPHY | ENTROPY
Journal Article
EPL, ISSN 0295-5075, 2019, Volume 125, Issue 3, p. 30001
Inferring causal relations from empirical data is a central task in any scientific inquiry. To that aim, a mathematical theory of causality has been developed,... 
RANDOMNESS | MODELS | PHYSICS, MULTIDISCIPLINARY | VIOLATION
Journal Article
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