4 citations · 6 across the 13 of their papers we have counts for
16 papers
A New Special Function and Its Application in Probability
Zeraoulia Rafik, Alvaro H Salas, David L Ocampo
In this note we present a new special function that behaves like the error function and we provide an approximated accurate closed form for its CDF in terms of both Chebyshev polyn…
A Hybrid Deep Learning and Anomaly Detection Framework for Real-Time Malicious URL Classification
Berkani Khaled, Zeraoulia Rafik
Malicious URLs remain a primary vector for phishing, malware, and cyberthreats. This study proposes a hybrid deep learning framework combining \texttt{HashingVectorizer} n-gram ana…
Innovative Dynamics: Utilizing Perelman's Entropy and Ricci Flow for Settler Position Models on Manifolds
Zeraoulia Rafik, Sobhan Sobhan Allah
This paper explores a novel approach to modeling the positional dynamics of stars using discrete dynamical systems. We define star evolution through discrete-time update rules base…
Chaotic Dynamics Derived from the Montgomery Conjecture: Application to Electrical Systems
Zeraoulia Rafik, Alvaro Humberto Salas, Ayadi Souad
Here, we introduce a novel method for obtaining chaotic dynamics based on the Montgomery conjecture for the pair correlation of zeros of the Riemann zeta function. Motivated by the…
Analyzing Dynamical Systems Inspired by Montgomery's Conjecture: Insights into Zeta Function Zeros and Chaos in Number Theory
Zeraoulia Rafik, Pedro Caceres
In this study, we analyze a novel dynamical system inspired by Montgomery's pair correlation conjecture, modeling the spacings between nontrivial zeros of the Riemann zeta function…
If our chaotic operator is derived correctly, then the Riemann hypothesis holds true
Zeraoulia Rafik, Pedro Caceres
This work develops an operator-theoretic and dynamical framework inspired by the Riemann--von Mangoldt formula, chaotic dynamics, and random-matrix models for the Riemann zeta func…