1 citations · 1 across the 9 of their papers we have counts for
15 papers
Assessing LLMs' mathematical abilities requires understanding the various mechanisms of mathematical creativity
Silvère Gangloff
How should we assess whether large language models can perform mathematical invention? I argue that this question is currently underspecified: mathematical creativity is not one ca…
Residual stratification and the Cantor-Bendixson structures of dual algebraic coframes
Silvère Gangloff, Alonso Nuñez
We introduce a notion of residual derivative for elements of a preordered set, a construction that generalizes both the Frattini subgroup in algebra and the Cantor-Bendixson deriva…
On the cohomology of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
We study the cohomology of symbolic dynamical systems called homshifts: they are the nearest-neighbour shifts of finite type whose adjacency rules are the same in ev…
Undecidability of the block gluing classes of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
A homshift is a -dimensional shift of finite type which arises as the space of graph homomorphisms from the grid graph to a finite connected undirected graph .…
The topological structure of isolated points in the space of -shifts
Silvère Gangloff, Alonso Núñez
R. Pavlov and S. Schmieding provided recently some results about generic -shifts, which rely mainly on an original theorem stating that isolated points form a residual…
Various questions around finitely positively expansive dynamical systems
Silvère Gangloff, Pierre Guillon, Piotr Oprocha
It is well-known that when a positively expansive dynamical system is invertible then its underlying space is finite. C.Morales has introduced a decade ago a natural way to general…