3 papers
math.PR2022
Fluctuation bounds for first-passage percolation on the square, tube, and torus
Michael Damron, Christian Houdré, Alperen Özdemir
In first-passage percolation, one assigns i.i.d. nonnegative weights to the edges of and studies the induced distance (passage time) between vertice…
math.PR2019
Martingales and descent statistics
Alperen Y. Özdemir
This paper develops techniques to study the number of descents in random permutations via martingales. We relax an assumption in the Berry-Esseen theorem of Bolthausen (1982) to ex…
eess.SP2018
Extension of PCA to Higher Order Data Structures: An Introduction to Tensors, Tensor Decompositions, and Tensor PCA
Ali Zare, Alp Ozdemir, Mark A. Iwen +1
The widespread use of multisensor technology and the emergence of big data sets have brought the necessity to develop more versatile tools to represent higher-order data with multi…