212 citations · 848 across the 74 of their papers we have counts for
77 papers
Resurgent rigidity of mock theta functions: uniqueness and natural boundary crossing
Ovidiu Costin, Gerald V. Dunne, Ali Saraeb
We develop a resurgent transseries approach to mock theta functions and show that the associated Mordell--Appell integrals underlie their modular and resurgent structure. From thes…
Non-perturbative Solution of the 1d Schrodinger Equation Describing Photoemission from a Sommerfeld model Metal by an Oscillating Field
Ovidiu Costin, Rodica Costin, Ian Jauslin +1
We analyze non-perturbatively the one-dimensional Schrödinger equation describing the emission of electrons from a model metal surface by a classical oscillating electric field. Pl…
Global Rational Approximations of Functions With Factorially Divergent Asymptotic Series
N. Castillo, O. Costin, R. D. Costin
We construct a new type of convergent, and asymptotic, representations, dyadic expansions. Their convergence is geometric and the region of convergence often extends from infinity…
Noise Effects on Pade Approximants and Conformal Maps
Ovidiu Costin, Gerald V. Dunne, Max Meynig
We analyze the properties of Pade and conformal map approximants for functions with branch points, in the situation where the expansion coefficients are only known with finite prec…
Integration on the Surreals
Ovidiu Costin, Philip Ehrlich
Conway's real closed field of surreal numbers is a sweeping generalization of the real numbers and the ordinals to which a number of elementary functions such as log…
Conformal and Uniformizing Maps in Borel Analysis
Ovidiu Costin, Gerald V. Dunne
Perturbative expansions in physical applications are generically divergent, and their physical content can be studied using Borel analysis. Given just a finite number of terms of s…