5 citations · 12 across the 8 of their papers we have counts for
10 papers
Recurrent Bipartite Graph Neural Networks for QC-MDPC Error Decoding in McEliece Cryptosystems
Parth Rajeshkumar Tandel, Elisabeth Fink
As the advent of large-scale quantum computing threatens classical encryption, Quasi-Cyclic Moderate Density Parity-Check (QC-MDPC) codes have emerged as a foundational element of…
Learning the Word Problem: Geodesic Lengths and Cryptographic Applications
Elisabeth Fink
The Word Problem has been a subject of intensive mathematical study for over a century, initially driving advances in combinatorial group theory and more recently emerging as a fou…
Morse geodesics in torsion groups
Elisabeth Fink
In this paper we exhibit Morse geodesics, often called "hyperbolic directions", in infinite unbounded torsion groups. The groups studied are lacunary hyperbolic groups and construc…
Uniquely labelled geodesics of Coxeter groups
Elisabeth Fink, Kirill Zainoulline
Studying geodesics in Cayley graphs of groups has been a very active area of research over the last decades. We introduce the notion of a uniquely labelled geodesic, abbreviated wi…
Hyperbolicity via Geodesic Stability
Elisabeth Fink
A geodesic is Morse, for every there exists a such that any -quasi-geodesic connecting two points on stays -close to . The Mo…
Conjugacy Growth and Conjugacy Width of Certain Branch Groups
Elisabeth Fink
The conjugacy growth function counts the number of distinct conjugacy classes in a ball of radius . We give a lower bound for the conjugacy growth of certain branch groups, amon…
Palindromic words in simple groups
Elisabeth Fink, Andreas Thom
A palindrome is a word that reads the same left-to-right as right-to-left. We show that every simple group has a finite generating set , such that every element of it can be wri…
Palindromic Width of Wreath Products
Elisabeth Fink
We show that the wreath product of any finitely generated group with has finite palindromic width. We also show that has finite pa…
On the finitely generated Hausdorff spectrum of spinal groups
Elisabeth Fink
We study the finitely generated Hausdorff spectrum of spinal automorphism groups acting on rooted trees. Given any , we construct a branch group such that h…
A finitely generated branch group of exponential growth without free subgroups
Elisabeth Fink
We will give an example of a branch group that has exponential growth but does not contain any non-abelian free subgroups. This answers question 16 from \cite{Bartholdi} positi…