8 citations · 12 across the 14 of their papers we have counts for
14 papers
Pade Approximants for Geodesy
Ovidiu Costin, Gerald V. Dunne, Crichton Ogle
In this note we analyze the use of Padé approximants for downward continuation beyond the radius of convergence of spherical harmonic expansions (SHEs), and for identifying the com…
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…
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…
Long time evolution of the Hénon-Heiles system for small energy
Ovidiu Costin, Rodica Costin, Kriti Sehgal
The Hénon-Heiles system, initially introduced as a simplified model of galactic dynamics, has become a paradigmatic example in the study of nonlinear systems. Despite its simplicit…
The likely maximum size of twin subtrees in a large random tree
Miklos Bona, Ovidiu Costin, Boris Pittel
We call a pair of vertex-disjoint, induced subtrees of a rooted trees twins if they have the same counts of vertices by out-degrees. The likely maximum size of twins in a uniformly…