10 papers
Exact Approximation In The Field Of Formal Series
Aratrika Pandey
In this article, we determine the Hausdorff dimension of the set of exactly -approximable vectors over local fields of positive characteristic. This result is the function fiel…
Simultaneous Khintchine theorem on manifolds in positive characteristics: convergence case
Noy Soffer Aranov, Sourav Das, Arijit Ganguly +1
We prove the convergence case of Khintchine's theorem, with general approximation functions that are not necessarily monotonic, for analytic nonplanar manifolds over local fields o…
Quantitative study of Silicon Waveguides for the Generation of Quantum Correlated Photon Pairs Bridging Mid-Infrared and Telecom Bands
Abhishek Kumar Pandey, Deepak Jain, Catherine Baskiotis
Sources of quantum correlated photons pairs bridging the 3um-4um Mid-infrared (MIR) band and Telecom/Near-Infrared/Visible band are of high importance for quantum technologies. Spo…
A Predictive Framework for Base-n Radix Sort Optimization
Atharv Pandey, Lakshmanan Kuppusamy
Sorting is a foundational primitive of computer science and optimizations in sorting subroutines can cascade into significant performance gains for high-throughput systems. In this…
Stochastic CHAOS: Why Deterministic Inference Kills, and Distributional Variability Is the Heartbeat of Artifical Cognition
Tanmay Joshi, Shourya Aggarwal, Anusa Saha +7
Deterministic inference is a comforting ideal in classical software: the same program on the same input should always produce the same output. As large language models move into re…
Design and Validation of a MATLAB-based GUI for Coarray Domain Analysis of Sparse Linear Arrays
Ashish Patwari, Ananya Pandey, Aditya Dabade +1
This work presents a first-of-its-kind graphical user interface (GUI)-based simulator developed using MATLAB App designer for the comprehensive analysis of sparse linear arrays (SL…