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math-ph2024
Local Central Limit Theorem for unbounded long-range potentials
Eric O. Endo, Roberto Fernández, Vlad Margarint +1
We prove the equivalence between the integral central limit theorem and the local central limit theorem for two-body potentials with long-range interactions on the lattice $\mathbb…
math-ph2018
Convergence in High Probability of the Quantum Diffusion in a Random Band Matrix Model
Vlad Margarint
We consider Hermitian random band matrices in dimensions. The matrix elements indexed by are independent, uniformly dist…