arXiv subjects

Avra S. Laarakker

Publications and source records attributed to Avra S. Laarakker.

2 recordsLinked to original sources

arXiv2010

Digit sets for connected tiles via similar matrices I: Dilation matrices with rational eigenvalues

Given any m-dimensional dilation matrix A with rational eigenvalues, we demonstrate the existence of a digit set D such that the attractor T(A,D) of the iterated function system generated by A and D is connected. We give an easily verified sufficient condition on A for a specific digit set, which we call the centered canonical digit set for A, to give rise to a connected attractor T(A,D).

math.GN↗

arXiv2006

Comment on "Extreme lowering of the Debye temperature of Sn nanoclusters embedded in thermally grown SiO2 by low-lying vibrational surface modes"

This Comment corrects two separate errors which previously appeared in the calculation of vibrational mode frequencies of tin spheres embedded in a silica matrix. The first error has to do with the vibrational frequency of a free elastic sphere. The second error has to do with the effect on the vibrational frequencies of a sphere due to its embedding in an infinite elastic matrix.

cond-mat.mtrl-sci↗