Hydrodynamics, resurgence, and transasymptotics
The second order hydrodynamical description of a homogeneous conformal plasma that
undergoes a boost-invariant expansion is given by a single nonlinear ordinary differential …
undergoes a boost-invariant expansion is given by a single nonlinear ordinary differential …
Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I
Extrapolation is a generic problem in physics and mathematics: how to use asymptotic data
in one parametric regime to learn about the behavior of a function in another parametric …
in one parametric regime to learn about the behavior of a function in another parametric …
Uniformization and constructive analytic continuation of Taylor series
We analyze the problem of global reconstruction of functions as accurately as possible,
based on partial information in the form of a truncated power series at some point, and …
based on partial information in the form of a truncated power series at some point, and …
Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour
RJ Buckingham, PD Miller - Nonlinearity, 2014 - iopscience.iop.org
Rational solutions of the inhomogeneous Painlevé-II equation and of a related coupled
Painlevé-II system have recently arisen in studies of fluid vortices and of the sine-Gordon …
Painlevé-II system have recently arisen in studies of fluid vortices and of the sine-Gordon …
Mode stability of self-similar wave maps in higher dimensions
O Costin, R Donninger, I Glogić - Communications in Mathematical …, 2017 - Springer
Mode Stability of Self-Similar Wave Maps in Higher Dimensions Page 1 Digital Object Identifier
(DOI) 10.1007/s00220-016-2776-7 Commun. Math. Phys. 351, 959–972 (2017) Communications …
(DOI) 10.1007/s00220-016-2776-7 Commun. Math. Phys. 351, 959–972 (2017) Communications …
Poles of Painlevé IV rationals and their distribution
We study the distribution of singularities (poles and zeros) of rational solutions of the
Painlevé IV equation by means of the isomonodromic deformation method. Singularities are …
Painlevé IV equation by means of the isomonodromic deformation method. Singularities are …
Noise effects on Padé approximants and conformal maps
We analyze the properties of Padé and conformal map approximants for functions with
branch points, in the situation where the expansion coefficients are only known with finite …
branch points, in the situation where the expansion coefficients are only known with finite …
Divergent Series, Summability and Resurgence I-III
E Delabaere, M Loday-Richaud, C Mitschi… - Lecture Notes in …, 2016 - Springer
We previously showed that the minor ̂w of the unique formal series solution w of the
prepared ODE associated with the first Painlevé equation, defines a function holomorphic on …
prepared ODE associated with the first Painlevé equation, defines a function holomorphic on …
Large-degree asymptotics of rational Painlevé-II functions: critical behaviour
RJ Buckingham, PD Miller - Nonlinearity, 2015 - iopscience.iop.org
This paper is a continuation of our analysis, begun in Buckingham and Miller (2014
Nonlinearity 27 2489–577), of the rational solutions of the inhomogeneous Painlevé-II …
Nonlinearity 27 2489–577), of the rational solutions of the inhomogeneous Painlevé-II …
On the stability of self-similar solutions to nonlinear wave equations
O Costin, R Donninger, I Glogić, M Huang - … in Mathematical Physics, 2016 - Springer
We consider an explicit self-similar solution to an energy-supercritical Yang-Mills equation
and prove its mode stability. Based on earlier work by one of the authors, we obtain a fully …
and prove its mode stability. Based on earlier work by one of the authors, we obtain a fully …