CORDIS Project
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This project explores advanced probabilistic methods in combinatorics and cryptography, focusing on measurable combinatorial objects, improving classical lemmas, analyzing extremal graphs, and enhancing cryptographic efficiency through relaxed correctness requirements. It aims to expand understanding in these mathemati…
The probabilistic method, pioneered by Paul Erdős, can show the existence of combinatorial objects without hinting how to construct them effectively.
Recent developments concerning the constructive version of Lovász Local Lemma (LLL) showed how to modify the probabilistic method to make it effective.
This proposal lists four research directions in analysis, combinatorics, and cryptography, where this method opened new possibilities to go beyond our present knowledge.1.
The measurable version of…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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