42 citations · 307 across the 36 of their papers we have counts for
37 papers
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…
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…
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…
Kinetic dominance and psi series in the Hamilton-Jacobi formulation of inflaton models
Elena Medina, Luis Martínez Alonso
Single-field inflaton models in the kinetic dominance period admit formal solutions given by generalized asymptotic expansions called psi series. We present a method for computing…
Generalised asymptotic solutions for the inflaton in the oscillatory phase of reheating
Gabrile Álvarez, Luis Martínez Alonso, Elena Medina
We determine generalised asymptotic solutions for the inflaton field, the Hubble parameter, and the equation-of-state parameter valid during the oscillatory phase of reheating for…
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…