41 citations · 49 across the 6 of their papers we have counts for
10 papers
On the first fall degree of summation polynomials
Stavros Kousidis, Andreas Wiemers
We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev's summation polynomials relevant to the solution of the Elliptic Curve D…
Krawtchouk polynomials and quadratic semi-regular sequences
Stavros Kousidis
We derive lower und upper bounds for the degree of regularity of an overdetermined, zero-dimensional and homogeneous quadratic semi-regular system of polynomial equations. The anal…
Distributions defined by q-supernomials, fusion products, and Demazure modules
Stavros Kousidis, Ernst Schulte-Geers
We prove asymptotic normality of the distributions defined by q-supernomials, which implies asymptotic normality of the distributions given by the central string functions and the…
Eigenvalue Distributions of Reduced Density Matrices
Matthias Christandl, Brent Doran, Stavros Kousidis +1
Given a random quantum state of multiple distinguishable or indistinguishable particles, we provide an effective method, rooted in symplectic geometry, to compute the joint probabi…
Asymptotics of generalized Galois numbers via affine Kac-Moody algebras
Stavros Kousidis
Generalized Galois numbers count the number of flags in vector spaces over finite fields. Asymptotically, as the dimension of the vector space becomes large, we give their exponent…
The number of flags in finite vector spaces: Asymptotic normality and Mahonian statistics
Thomas Bliem, Stavros Kousidis
We study the generalized Galois numbers which count flags of length r in N-dimensional vector spaces over finite fields. We prove that the coefficients of those polynomials are asy…