Real Quantum Mechanics in a Kahler Space
In questo documento, we demonstrate the equivalence between the complex Hilbert space and real Kahler space formulations of quantum mechanics. Complex numbers play an important role in the traditional formulation of quantum mechanics in complex Hilbert spaces. Tuttavia, the necessity of complex...
On the Turán number of the $G_{3\times 3}$ in linear hypergraphs
We show a construction for dense 3-uniform linear hypergraphs without $3\times 3$ griglie, improving the lower bound on its Tur\’an number. Questo articolo esplora i giri e le loro implicazioni. Scarica PDF:
Hyperspectral Vision Transformers for Greenhouse Gas Estimations from Space
Hyperspectral imaging provides detailed spectral information and holds significant potential for monitoring of greenhouse gases (GHGs). Tuttavia, its application is constrained by limited spatial coverage and infrequent revisit times. In contrast, multispectral imaging offers broader spatial and temporal coverage but often lacks...
Monte Carlo Planning with Large Language Model for Text-Based Game Agents
Text-based games provide valuable environments for language-based autonomous agents. Tuttavia, planning-then-learning paradigms, such as those combining Monte Carlo Tree Search (MCTS) and reinforcement learning (RL), are notably time-consuming due to extensive iterations. Inoltre, these algorithms perform uncertainty-driven exploration but lack language understanding...
Physical ageing from generalised time-translation-invariance
A generalised form of time-translation-invariance permits to re-derive the known generic phenomenology of ageing, which arises in many-body systems after a quench from an initially disordered system to a temperature $T\leq T_c$, at or below the critical temperature $T_c$. Generalised time-translation-invariance is...
Planning with Diffusion Models for Target-Oriented Dialogue Systems
Target-Oriented Dialogue (TOD) remains a significant challenge in the LLM era, where strategic dialogue planning is crucial for directing conversations toward specific targets. Tuttavia, existing dialogue planning methods generate dialogue plans in a step-by-step sequential manner, and may suffer from compounding errors...
Global dynamics of planar discrete type-K competitive systems
For a continuously differentiable Kolmogorov map defined from the nonnegative orthant to itself, a type-K competitive system is defined. Under the assumptions that the system is dissipative and the origin is a repeller, the global dynamics of such systems is investigated. A...
Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets
We consider the Kelvin-Helmholtz system describing the evolution of a vortex-sheet near the circular stationary solution. Answering previous numerical conjectures in the 90s physics literature, we prove an almost global existence result for small-amplitude solutions. We first establish the existence of a...
The FAST Discovery of a Millisecond Pulsar Hidden in the Harmonics of PSR J2129+1210A (M15A)
We report the discovery of an isolated millisecond pulsar M15O (J2129+1210O) from the globular cluster M15 (NGC 7078) with a period of $\sim$11.06686 ms and a dispersion measure of $\sim$67.44 cm$^{-3}$ pc. Its spin period is so close to the $10^{\text{th}}$ harmonic...
Reconfigurable Intelligent Surface Control for a Moving Receiver
Reconfigurable intelligent surfaces (RISs) are emerging as key enablers of reliable industrial automation in the millimeter-wave (mmWave) band, particularly in environments with frequent line-of-sight (LoS) blockage. While prior works have largely focused on theoretical aspects, real-time validation under user mobility remains underexplored....