16 citations · 43 across the 47 of their papers we have counts for
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Universal convex coverings
Roland Bacher
In every dimension , we establish the existence of a constant and of a subset of such that the following holds: $\mathcal C+\mathcal U_d…
On polytopes associated to factorisations of prime-powers
Roland Bacher
We study polytopes associated to factorisations of prime powers. These polytopes have explicit descriptions either in terms of their vertices or as intersections of closed halfspac…
On a family of tridiagonal matrices
Roland Bacher
We show that certain integral positive definite symmetric tridiagonal matrices of determinant are in one to one correspondence with elements of . We s…
On exponentials of exponential generating series
Roland Bacher
Identifying the algebra of exponential generating series with the shuffle algebra of formal power series, one can define an exponential map ${\mathop{exp}}_!:X\mathbb K[[X]]\longri…
The special subgroup of invertible non-commutative rational power series as a metric group
Roland Bacher
We give an easy proof of Schützenberger's Theorem stating that non-commutative formal power series are rational if and only if they are recognisable. A byproduct of this proof is a…