5 papers
Sharp Convergence for Mirror-Degenerate Expansions
Francesco D'Agostino
We analyze weighted convergence for the truncated reconstruction operator in the rank-one non-symmetric Heckman--Opdam setting. After localization at the mirror, the operator…
Unified Structural Embedding of Orbifold Sigma Models
Francesco D'Agostino
This study introduces a new unified structural framework for orbifold sigma models that incorporates twisted sectors, singularities, and smooth regions into a single algebraic obje…
Temporal Model On Quantum Logic
Francesco D'Agostino
This paper introduces a unified theoretical framework for modeling temporal memory dynamics, combining concepts from temporal logic, memory decay models, and hierarchical contexts.…
On the Resolution of Partial Differential Equations for Lattice Structures on Smooth Manifolds
Francesco D'Agostino
This paper explores the embedding of lattice structures into smooth manifolds through a rigorous mathematical framework. Build…
Embedding of a Discrete Lattice Structure in a Smooth Manifold
Francesco D'Agostino
I propose a mathematical framework for embedding an unshaped discrete lattice on a smooth manifold . This framework simplifies complex concepts in pure mathematics and physi…