5 citations · 5 across the 4 of their papers we have counts for
6 papers
Random walks on primitive lattice points
Oliver Sargent
We define a random walk on the set of primitive points of . We prove that for walks generated by measures satisfying mild conditions these walks are recurrent in a st…
Values of quadratic forms on quasicrystals and a related problem
Oliver Sargent
In this paper we study the set of values of quadratic form at points of a cut and project set. We will establish conditions which ensure that the set of values is dense. Our method…
Dynamics on the space of 2-lattices in 3-space
Oliver Sargent, Uri Shapira
We study the dynamics of and its subgroups on the homogeneous space consisting of homothety classes of rank-2 discrete subgroups of . We focus…
The n-point correlation of quadratic forms
Oliver Sargent
In this paper we investigate the distribution of the set of values of a quadratic form Q, at integral points. In particular we are interested in the n-point correlations of the thi…
Equidistribution of values of linear forms on quadratic surfaces
Oliver Sargent
In this paper we investigate the distribution of the set of values of a linear map at integer points on a quadratic surface. In particular, it is shown that subject to certain alge…
Density of values of linear maps on quadratic surfaces
Oliver Sargent
In this paper we investigate the distribution of the set of values of a linear map at integer points on a quadratic surface. In particular we show that this set is dense in the ran…