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Randomness and pseudorandomness in discrete mathematics
Discrete mathematics has seen enormous advances in the last few years, with solutions being found to a number of famous and long-standing questions, such as the Erdos distinct distance problem and the existence conjecture for comb...
Discrete mathematics has seen enormous advances in the last few years, with solutions being found to a number of famous and long-standing questions, such as the Erdos distinct distance problem and the existence conjecture for combinatorial designs. Much of this progress owes to an increased understanding of random and pseudorandom objects. An entire framework, known as the probabilistic method, has grown around the application of randomness to combinatorial problems, while pseudorandomness is playing an increasingly important role.
In this proposal, we will consider a range of problems, some stemming from the direct study of random and pseudorandom objects and others arising in areas where randomness and pseudorandomness have proved to be of particular importance. We will be particularly concerned with extensions of the regularity method to sparse graphs and improving bounds for a number of classical problems in graph Ramsey theory. These problems are of a fundamental nature and any progress is likely to lead to new techniques with broader scope for application.
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Duración del proyecto: 62 meses
Fecha Inicio: 2016-04-05
Fecha Fin: 2021-06-30
Fecha Fin: 2021-06-30
Línea de financiación: concedida
El organismo H2020 notifico la concesión del proyecto el día 2021-06-30
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-StG-2015:
ERC Starting Grant
Cerrada
hace 9 años
Presupuesto
El presupuesto total del proyecto asciende a
1M€
Líder del proyecto
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Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
428.92K€ |
Participante