125 citations · 1k across the 46 of their papers we have counts for
31 papers · 1 filter
Counting of surfaces and computational complexity in column sums of symmetric group character tables
Joseph Ben Geloun, Sanjaye Ramgoolam
The character table of the symmetric group , of permutations of objects, is of fundamental interest in theoretical physics, combinatorics as well as computational complexi…
Counting invariants and tensor model observables
Remi Cocou Avohou, Joseph Ben Geloun, Reiko Toriumi
invariants are constructed by contractions of complex tensors of order , also denoted . These tensors transform under fu…
One-loop beta-functions of quartic enhanced tensor field theories
Joseph Ben Geloun, Reiko Toriumi
Enhanced tensor field theories (eTFT) have dominant graphs that differ from the melonic diagrams of conventional tensor field theories. They therefore describe pertinent candidates…
Kronecker coefficients from algebras of bi-partite ribbon graphs
Joseph Ben Geloun, Sanjaye Ramgoolam
Bi-partite ribbon graphs arise in organising the large expansion of correlators in random matrix models and in the enumeration of observables in random tensor models. There is…
All-orders asymptotics of tensor model observables from symmetries of restricted partitions
Joseph Ben Geloun, Sanjaye Ramgoolam
The counting of the dimension of the space of polynomial invariants of a complex -index tensor as a function of degree is known in terms of a…
Quantum mechanics of bipartite ribbon graphs: Integrality, Lattices and Kronecker coefficients
Joseph Ben Geloun, Sanjaye Ramgoolam
We define solvable quantum mechanical systems on a Hilbert space spanned by bipartite ribbon graphs with a fixed number of edges. The Hilbert space is also an associative algebra,…