12 citations · 31 across the 15 of their papers we have counts for
6 papers · 1 filter
Spectral Perturbations of the Line Graph Laplacian
Ian M. T. Rooney, Parker S. Kuklinski, David A. Hague
The graph Laplacian is an important tool in Graph Signal Processing (GSP) as its eigenvalue decomposition acts as an analogue to the Fourier transform and is known as the Graph Fou…
Waveform Design using Multi-Tone Feedback Frequency Modulation
David A. Hague, Parker S. Kuklinski
This paper introduces a waveform design method using Multi-Tone Feedback Frequency Modulation (MT-FFM), a generalization of the single oscillator feedback FM method developed by [T…
Conditional Probability Distributions of Finite Absorbing Quantum Walks
Parker Kuklinski
Quantum walks are known to have nontrivial interactions with absorbing boundaries. In particular it has been shown that an absorbing boundary in the one dimensional quantum walk pa…
Identities and Properties of Multi-Dimensional Generalized Bessel Functions
Parker Kuklinski, David A. Hague
The Generalized Bessel Function (GBF) extends the single variable Bessel function to several dimensions and indices in a nontrivial manner. Two-dimensional GBFs have been studied e…
Absorption Probabilities of Quantum Walks
Parker Kuklinski, Mark Kon
Quantum walks are known to have nontrivial interaction with absorbing boundaries. In particular, Ambainis et.\ al.\ \cite{ambainis01} showed that in the quantum walk…
Bifurcation Curves of Two-Dimensional Quantum Walks
Parker Kuklinski, Mark Kon
The quantum walk differs fundamentally from the classical random walk in a number of ways, including its linear spreading and initial condition dependent asymmetries. Using station…