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[HTML][HTML] Polynomiality of monotone Hurwitz numbers in higher genera
IP Goulden, M Guay-Paquet, J Novak - Advances in Mathematics, 2013 - Elsevier
Hurwitz numbers count branched covers of the Riemann sphere with specified ramification,
or equivalently, transitive permutation factorizations in the symmetric group with specified …
or equivalently, transitive permutation factorizations in the symmetric group with specified …
Integer moments of complex Wishart matrices and Hurwitz numbers
Integer moments of complex Wishart matrices and Hurwitz numbers Page 1 Ann. Inst. Henri
Poincaré Comb. Phys. Interact. 8 (2021), 243–268 DOI 10.4171/AIHPD/103 Integer …
Poincaré Comb. Phys. Interact. 8 (2021), 243–268 DOI 10.4171/AIHPD/103 Integer …
On some quadratic algebras I 1/2: combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials
AN Kirillov - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2016 - emis.de
On Some Quadratic Algebras I : Combinatorics of Dunkl and Gaudin Elements, Schubert,
Grothendieck, Fuss–Catalan, Universal Tut Page 1 Symmetry, Integrability and Geometry …
Grothendieck, Fuss–Catalan, Universal Tut Page 1 Symmetry, Integrability and Geometry …
Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach
To study electronic transport through chaotic quantum dots, there are two main theoretical
approaches. One involves substituting the quantum system with a random scattering matrix …
approaches. One involves substituting the quantum system with a random scattering matrix …
Weak multiplicativity for random quantum channels
A Montanaro - Communications in Mathematical Physics, 2013 - Springer
It is known that random quantum channels exhibit significant violations of multiplicativity of
maximum output p-norms for any p> 1. In this work, we show that a weaker variant of …
maximum output p-norms for any p> 1. In this work, we show that a weaker variant of …
On polynomial integrals over the orthogonal group
We consider integrals of type [Formula: see text], with respect to the Haar measure on the
orthogonal group. We establish several remarkable invariance properties satisfied by such …
orthogonal group. We establish several remarkable invariance properties satisfied by such …
On enumerating factorizations in reflection groups
T Douvropoulos - arxiv preprint arxiv:1811.06566, 2018 - arxiv.org
We describe an approach, via Malle's permutation $\Psi $ on the set of irreducible
characters $\text {Irr}(W) $, that gives a uniform derivation of the Chapuy-Stump formula for …
characters $\text {Irr}(W) $, that gives a uniform derivation of the Chapuy-Stump formula for …
The number of shortest paths in the arrangement graph
A solution to the shortest path enumeration problem can find numerous applications in
studying issues related to interconnection networks. In this paper, we enumerate the number …
studying issues related to interconnection networks. In this paper, we enumerate the number …
On some algebraic and combinatorial properties of Dunkl elements
AN Kirillov - International Journal of Modern Physics B, 2012 - World Scientific
We introduce and study a certain class of nonhomogeneous quadratic algebras together
with the special set of mutually commuting elements inside of each, the so-called Dunkl …
with the special set of mutually commuting elements inside of each, the so-called Dunkl …
[PDF][PDF] On enumerating factorizations in reflection groups
T Douvropoulos - Algebraic combinatorics, 2023 - scholar.archive.org
We describe an approach, via Malle's permutation Ψ on the set of irreducible characters Irr
(W) of a reflection group W, that gives a uniform derivation of the Chapuy–Stump formula for …
(W) of a reflection group W, that gives a uniform derivation of the Chapuy–Stump formula for …