1 citations · 1 across the 5 of their papers we have counts for
6 papers
The two-sided peak polynomial
Alperen Özdemir
We derive a generating function identity for the joint distribution of the numbers of peaks of a permutation and its inverse, via enriched -partitions. The coefficients of the c…
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…
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…
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…
The random (n-k)-cycle to transpositions walk on the symmetric group
Alperen Y. Özdemir
We study the rate of convergence of the Markov chain on which starts with a random -cycle for a fixed , followed by random transpositions. The convergence to…
Multiscale Analysis for Higher-order Tensors
Alp Ozdemir, Ali Zare, Mark A. Iwen +1
The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data…