3 papers
math.FA2025
Lipschitz vs Linear Numerical Index in certain Banach spaces
Antonio Pérez-Hernández
We show that for real Banach spaces that are either separable or dual spaces, the Lipschitz numerical index coincides with the classical (linear) numerical index. This result provi…
quant-ph2025
Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay
Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
Starting from an arbitrary full-rank state of a lattice quantum spin system, we define a "canonical purified Hamiltonian" and characterize its spectral gap in terms of a spatial mi…
math.CO2024
Generalized tableaux over arbitrary digraphs and their associated differential equations
Luis Martínez, Antonio Vera López, Antonio Vera Pérez +2
We revisit the concepts of acyclic orderings and number of acyclic orderings of acyclic digraphs in terms of dispositions and counters for arbitrary multidigraphs. We prove that wh…