Decidability of the isomorphism and the factorization between minimal substitution subshifts
peer reviewed
peer reviewed
We obtain a generalisation of the Stroock–Varadhan support theorem for a large class of systems of subcritical singular stochastic partial differential equations driven by a noise that is either white or approximately self-similar. The main problem that we face is the presence of renormalisation. In particular, it may happen in general that differe...
status: published
status: published
status: published
At the start of the 2021 school year, all first grade Cours Préparatoire (CP) or second grade Cours Elémentaire première année (CE1) students were assessed in French and mathematics (nearly 1.6 million students in 33,000 schools) after a school year still disrupted by the health crisis in 2020-2021. At the beginning of both CP and CE1, there is an ...
This thesis explored how six teachers of mathematics embedded Aboriginal and Torres Strait Islander Peoples’ Histories and Cultures into the core mathematics curriculum. Semi-structured interviews were conducted, then written transcripts were analysed through the use of Bernstein’s Theory of Pedagogic Discourse. Teachers shared their perspectives o...
The objective of this article was to highlight the impressions of teachers regarding the Education of Mathematics in Early Childhood and how the use of digital technologies can contribute to the efficiency of this practice. Therefore, a case study was carried out with the participation of 66 teachers from a Municipal Early Childhood Education Unit,...
This thesis consists of three main topics in which we explore the geometry and other features of certain convex sets arising in probabilistic contexts.We first consider the set of laws of $K_n$, the number of distinct values among the first $n$ terms of a sequence, for infinite exchangeable sequences of random variables $(X_1,X_2,\ldots)$. We prove...
Motivated by the Calabi-Yau/Landau-Ginzburg correspondence, we study BCOV-type torsion for Landau-Ginzburg B-models. To pave the way for understanding the Landau-Ginzburg model from the index theoretic point of view, we study Witten deformation, which was introduced in one of Witten's extremely influential papers in 1987, on noncompact manifolds. I...