Detta Dickinson

PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA

This paper concerns perturbations of smooth vector fields on

Simultaneous diophantine approximation on polynomial curves

\mathbb{T}^n

THE METRIC THEORY OF MIXED TYPE LINEAR FORMS

(constant if

Simultaneous Diophantine approximation in the real, complex and p –adic fields.

n\geq3

First order pseudodifferential operators on the torus: Normal forms, diophantine phenomena and global hypoellipticity

) with zeroth-order

On simultaneous rational approximation to a p-adic number and its integral powers

C^\infty

Measure theoretic laws for lim sup sets

and Gevrey

Diophantine approximation on planar curves and the distribution of rational points

G^\sigma

Sets of exact ‘logarithmic’ order in the theory of Diophantine approximation

,

Hausdorff measure and linear forms.

\sigma\geq1