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Matemática

Quasi-invariant gaussian measures for the nonlinear wave equation

Nikolay Tzvetkov
Univ. de Cergy-Pontoise

Abstract: We will show that a natural class of gaussian measures living on Sobolev spaces of varying regularity are quasi-invariant under the flow of the two dimensional cubic defocusing wave equation. For that purpose, we introduce renormalised energies and we establish the associated energy estimates.
This is a joint work with Tadahiro Oh (Edinburgh University).

Predicative ordinal notations (I)

João Enes
CMAF-CIO, Universidade de Lisboa

Abstract: In this talk we will present the standard ordinal notation system for ordinals less than $\varepsilon_0$. We will introduce the Veblen hierarchy of functions based on the class of additively indecomposable ordinals. This will allow us to go beyond $\varepsilon_0$ and present a notation system for ordinals less than the Feferman-Schütte ordinal $\Gamma_0$.

Quasi-invariant gaussian measures for the nonlinear wave equation

Nikolay Tzvetkov
Univ. de Cergy-Pontoise

Abstract: We will show that a natural class of gaussian measures living on Sobolev spaces of varying regularity are quasi-invariant under the flow of the two dimensional cubic defocusing wave equation. For that purpose, we introduce renormalised energies and we establish the associated energy estimates. This is a joint work with Tadahiro Oh (Edinburgh University).

Mathematics and Literature

O programa do workshop consta de dez comunicações, que abordam as novelas gráficas na comunicação da matemática, por Jorge Buescu, incluindo uma apresentação do recente livro Imaginary Engines: Ada Lovelace and Between Byron and Babbage, por Sydney Padua, a potencial interação “Mathematico-literary gleanings, as seen in relation to secondary education”, por Bernard Hodgson, as metáforas matemáticas em Proust, por António Machiavelo, abordagens a autores como Borges, Dostoyevsky e Péter Esterházy "as mathematicians”, por Jerô

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