Susana Fr'ometa

collaborators

3 papers

math.NT2023

How many real zeros does a random Dirichlet series have?

Marco Aymone, Susana Frómeta, Ricardo Misturini

Let $F (σ) = \sum_{n = 1}^{\infty} \frac{X _{n}}{n ^{σ}}$ be a random Dirichlet series where $(X_{n})_{n \in N}$ are independent standard Gaussian random variables. We compute in a quantit…

math.PR2020

Asymptotic behavior of a low temperature non-cascading 2-GREM dynamics at extreme time scales

Luiz Renato Fontes, Susana Frómeta, Leonel Zuaznábar

We derive the scaling limit for the Hierarchical Random Hopping dynamics for the non cascading 2-GREM at low temperatures and time scales where the dynamics is close to equilibrium…

math.PR2020

Law of the iterated logarithm for a random Dirichlet series

Marco Aymone, Susana Frómeta, Ricardo Misturini

Let $(X_{n})_{n \in N}$ be a sequence of i.i.d. random variables with distribution $P (X_{1} = 1) = P (X_{1} = - 1) = 1/2$ . Let $F (σ) = \sum_{n = 1}^{\infty} X_{n} n^{- σ}$ . We prove…