scholarly journals A self-similarity principle for the computation of rare event probability

2019 ◽  
Vol 52 (49) ◽  
pp. 495701
Author(s):  
Malik Hassanaly ◽  
Venkat Raman
Keyword(s):  
Rare Event ◽  
Self Similarity ◽  
Similarity Principle ◽  
Event Probability

scholarly journals Recommendations for the tuning of rare event probability estimators

2015 ◽  
Vol 133 ◽  
pp. 68-78 ◽  
Author(s):  
Mathieu Balesdent ◽  
Jérôme Morio ◽  
Julien Marzat
Keyword(s):  
Rare Event ◽  
Event Probability

FRACTAL MAGMAS AND PUBLIC-KEY CRYPTOGRAPHY

2021 ◽  
Vol 26 (2) ◽  
pp. 23-49
Author(s):  
V. P. Tsvetov
Keyword(s):  
Binary Operation ◽  
Public Key Cryptography ◽  
The Self ◽  
Public Key ◽  
Self Similarity ◽  
Key Exchange Protocol ◽  
Binary Operations ◽  
Similarity Principle ◽  
Diffie Hellman ◽  
Cayley Tables

In this paper, we deal with magmas the simplest algebras with a single binary operation. The main result of our research is algorithms for generating chain of finite magmas based on the self-similarity principle of its Cayley tables. In this way the cardinality of a magmas domain is twice as large as the previous one for each magma in the chain, and its Cayley table has a block-like structure. As an example, we consider a cyclic semigroup of binary operations generated by a finite magmas operation with a low-cardinality domain, and a modify the Diffie-Hellman-Merkle key exchange protocol for this case.

Sign in / Sign up

Export Citation Format

Share Document