activity
19992026
most citedSummability of the perturbative expansion for a zero-dimensional disordered spin model

38 citations · 185 across the 18 of their papers we have counts for

collaborators

18 papers

math-ph2026

The Schwarz function and the shrinking of the Szegő curve: electrostatic, hydrodynamic, and random matrix models

Gabriel Álvarez, Luis Martínez Alonso, Elena Medina

We study the deformation of the classical Szegő curve given by , from three different viewpoints: an e…

gr-qc2023

Adaptive asymptotic solutions of inflationary models in the Hamilton-Jacobi formalism: Application to T-models

Gabriel Álvarez, Elena Medina

We develop a method to compute the slow-roll expansion for the Hubble parameter in inflationary models in a flat Friedmann-Lemaître-Robertson-Walker spacetime that is applicable to…

gr-qc2021★ 2 cited

Kinetic dominance and the wavefunction of the universe

Gabriel Álvarez, Luis Martínez Alonso, Elena Medina

We analyze the emergence of classical inflationary universes in a kinetic-dominated stage using a suitable class of solutions of the Wheeler-De Witt equation with a constant potent…

math-ph2019★ 10 cited

Separatrices in the Hamilton-Jacobi Formalism of Inflaton Models

Gabriel Álvarez, Luis Martínez Alonso, Elena Medina +1

We consider separatrix solutions of the differential equations for inflaton models with a single scalar field in a zero-curvature Friedmann-Lema\^ıtre-Robertson-Walker universe. Th…

math-ph2017★ 32 cited

A new method to sum divergent power series: educated match

Gabriel Álvarez, Harris J. Silverstone

We present a method to sum Borel- and Gevrey-summable asymptotic series by matching the series to be summed with a linear combination of asymptotic series of known functions that t…

math-ph2017★ 1 cited

Phase space and phase transitions in the Penner matrix model with negative coupling constant

Gabriel Álvarez, Luis Martínez Alonso, Elena Medina

The partition function of the Penner matrix model for both positive and negative values of the coupling constant can be explicitly written in terms of the Barnes G function. In thi…