2 citations · 5 across the 8 of their papers we have counts for
8 papers
Some dynamics in real quadratic fields with applications to inhomogeneous minima
Nick Ramsey
Let be a real quadratic field. We use a symbolic coding of the action of a fundamental unit on the real -torus associated to to study the family of subsets of norm…
Perturbing Subshifts of Finite Type
Nick Ramsey
Given an SFT and a finite set of finite words, let denote the subshift of that avoids . We establish a general criterion under which we can bound…
Perturbing subshifts of finite type: two words
Nick Ramsey
We bound the change in entropy incurred by an irreducible subshift of finite type upon perturbing it by forbidding a pair of admissible words. Lind has proven such bounds in the on…
via distributions on weight space
Nick Ramsey
We introduce a certain ring of rigid-analytic distributions on -adic weight space (modulo torsion) and show that it is canonically isomorphic to Colmez's ring …
Euclidean Ideals in Quadratic Imaginary Fields
Hester Graves, Nick Ramsey
We classify all quadratic imaginary number fields that have a Euclidean ideal class. There are seven of them, they are of class number at most two, and in each case the unique clas…
The overconvergent Shimura lifting
Nick Ramsey
We construct a rigid-analytic map from the the author's half-integral weight cuspidal eigencurve to its integral weight counterpart that interpolates the classical Shimura lifting.