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Abstract TBA

Abstract TBA

The reconfiguration of one discrete structure into another one, through a sequence small local modifications, is a wide research area. Famous topics of study range from games like the Rubik's cube or the 15-puzzle via robot motion planning to...

Abstract TBA

For two multiplicatively independent positive integers p and q, Furstenberg (2019) conjectured that the transformations px mod 1 and qx mod1 are transverse. This means that the Hausdorff dimension of the intersection of two closed invariant sets is...

Since its inception in the early 2000s, compressive sensing has become a well-established paradigm for efficient signal recovery, with applications ranging from medical imaging to scientific computing. More recently, data-driven reconstruction...

Abstract TBA

Let C be a class of algebraic structures. For example, C could be a class of quadratic forms, field extensions or algebraic curves of a given genus. To measure the complexity of C, mathematicians ask a natural question: how many algebraically...

A c-colouring of a combinatorial design is an assignment of colours, chosen from a set of size c, to the points of the design. A c-colouring is equitable if every block of size k contains ⌊k/c⌋ or ⌈k/c⌉ points of each colour. In 2016, Luther and Pike...

Latent Dirichlet Allocation and Text embeddings have revolutionized the use of text as data leading to vastly improved document clustering and retrieval and recommender systems by finding lower dimensional structure in the text. Furthermore, these...