4 citations · 7 across the 9 of their papers we have counts for
11 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…
Weak-Strong Resurgence Duality
Gerald V. Dunne, Ayssar I. Farah
We show that there is an explicit resurgent duality between weak and strong coupling expansions when one of the expansions has zero radius of convergence and the other has infinite…
On Uniqueness of Mock Theta Functions
Ovidiu Costin, Gerald V. Dunne, Ali Saraeb
We develop a resurgent approach to the problem of unique continuation of mock theta functions across their natural boundary. The starting point is the representation of the associa…
The Chern-Simons Natural Boundary and Black Hole Entropy
Griffen Adams, Gerald V. Dunne
The method of resurgent continuation of transseries reveals a new correspondence between the -series for enumerating degeneracies of quarter-BPS states in supersymmetric black h…
Non-BPS Monopoles and Dyons via Resurgent Transseries
Gerald V. Dunne, Evan Shinn
Radially symmetric non-BPS 't Hooft-Polyakov monopoles and dyons are constructed as resurgent transseries: infinite sums of exponentially decaying terms, each multiplied by a facto…
Heisenberg-Euler and the Quantum Dilogarithm
Gerald V. Dunne
A dispersion integral representation of the Heisenberg-Euler QED effective lagrangian is derived, with Faddeev's quantum dilogarithm as a generalized Borel kernel. The nonperturbat…
Introductory Lectures on Resurgence: CERN Summer School 2024
Gerald V. Dunne
A set of four introductory lectures on Resurgent Asymptotics for Physics (``resurgence") at the CERN Summer School: Continuum Foundations of Lattice Gauge Theories, July 2024. Lect…
from Resurgence at the Stokes Line
Griffen Adams, Ovidiu Costin, Gerald V. Dunne +2
In recent papers [1,2], a new method to cross the natural boundary has been proposed, and applied to Mordell-Borel integrals arising in the study of Chern-Simons theory, based on d…
Orientation Reversal and the Chern-Simons Natural Boundary
Griffen Adams, Ovidiu Costin, Gerald V. Dunne +2
We show that the fundamental property of preservation of relations, underlying resurgent analysis, provides a new perspective on crossing a natural boundary, an important general p…
Tree-tubings and the combinatorics of resurgent Dyson-Schwinger equations
Michael Borinsky, Gerald V. Dunne, Karen Yeats
We give a novel combinatorial interpretation to the perturbative series solutions for a class of Dyson-Schwinger equations. We show how binary tubings of rooted trees with labels f…
Going to the Other Side via the Resurgent Bridge
Ovidiu Costin, Gerald V. Dunne, Angus Gruen +1
Using resurgent analysis we offer a novel mathematical perspective on a curious bijection (duality) that has many potential applications ranging from the theory of vertex algebras…