Benjamin Sambale

collaborators

4 papers

quant-ph2026

Exhaustive and feasible parametrisation with applications to the travelling salesperson problem

Marvin Schwiering, Timo Ziegler, Lennart Binkowski +1

This paper introduces the concept of exhaustively parametrised, feasibility-respecting quantum circuits for constrained combinatorial optimisation problems. Such circuits can reach…

math.HO2026

An invitation to formal power series

Benjamin Sambale

This is a lecture on the theory of formal power series developed entirely without any analytic machinery. Combining ideas from various authors we are able to prove Newton's binomia…

math.RT2025

A counterexample to a conjecture of A. R. Miller

Gabriel Navarro, Benjamin Sambale

Let $I ¨ $ be an irreducible character of a finite group $G$ . A. R. Miller conjectured that the proportion of elements $g \in G$ such that $I ¨ (g)$ is zero or a root of unity is at lea…

math.GR2025

On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Persi Diaconis, Eugenio Giannelli, Robert M. Guralnick +4

Let $P_{n}$ be a Sylow $p$ -subgroup of the symmetric group $S_{n}$ . We investigate the number and sizes of the $P_{n} ∖ S_{n} / P_{n}$ double cosets, showing that most double cosets…