51 citations · 90 across the 4 of their papers we have counts for
4 papers
Modeling Basal Ganglia for understanding Parkinsonian Reaching Movements
K. N. Magdoom, D. Subramanian, V. S. Chakravarthy +3
We present a computational model that highlights the role of basal ganglia (BG) in generating simple reaching movements. The model is cast within the reinforcement learning (RL) fr…
Using the Hadamard and related transforms for simplifying the spectrum of the quantum baker's map
Arul Lakshminarayan, N. Meenakshisundaram
We rationalize the somewhat surprising efficacy of the Hadamard transform in simplifying the eigenstates of the quantum baker's map, a paradigmatic model of quantum chaos. This all…
The Fourier transform of the Hadamard transform: Multifractals, Sequences and Quantum Chaos
N. Meenakshisundaram, Arul Lakshminarayan
We introduce a class of functions that limit to multifractal measures and which arise when one takes the Fourier transform of the Hadamard transform. This introduces generalization…
Multifractal eigenstates of quantum chaos and the Thue-Morse sequence
N. Meenakshisundaram, Arul Lakshminarayan
We analyze certain eigenstates of the quantum baker's map and demonstrate, using the Walsh-Hadamard transform, the emergence of the ubiquitous Thue-Morse sequence, a simple sequenc…