Categorical framework for quantum-resistant zero-trust AI security. [PDF]
Sci RepCherkaoui I, Clarke C, Horgan J, Dey I.
europepmc +1 more source
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Surprisal Analysis-Based Compaction of Entangled Molecular States of Maximal Entropy. [PDF]
Entropy (Basel)Hamilton JR, Remacle F, Levine RD.
europepmc +1 more source
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System. [PDF]
Commun Math PhysCaudrelier V +3 more
europepmc +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Quantum Shannon Information Theory-Design of Communication, Ciphers, and Sensors. [PDF]
Entropy (Basel)Hirota O.
europepmc +1 more source
The study of rational points on varieties over real closed fields is based on the Artin-Lang homomorphism theorem. It guarantees the existence of sufficiently many rational points provided the function field of the variety is formally real. It is well known that this theorem only rephrases, in geometric terms, the fact that a real closed field is ...
Becker, Eberhard, Jacob, Bill
openaire +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Double BFV Quantisation of 3D Gravity. [PDF]
Commun Math PhysCanepa G, Schiavina M.
europepmc +1 more source