378 citations · 4k across the 141 of their papers we have counts for
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Fractional diffusion equations interpolate between damping and waves
Andy Manapany, Sébastien Fumeron, Malte Henkel
The behaviour of the solutions of the time-fractional diffusion equation, based on the Caputo derivative, is studied and its dependence on the fractional exponent is analysed. The…
Boundedness of meta-conformal two-point functions in one and two spatial dimensions
Malte Henkel, Michal Dariusz Kuczynski, Stoimen Stoimenov
Meta-conformal invariance is a novel class of dynamical symmetries, with dynamical exponent , and distinct from the standard ortho-conformal invariance. The meta-conformal War…
On integral representations and asymptotics of some hypergeometric functions in two variables
Sascha Wald, Malte Henkel
The leading asymptotic behaviour of the Humbert functions , , of two variables is found, when the absolute values of the two independent variables become simultaneo…
Meta-conformal invariance and the boundedness of two-point correlation functions
Malte Henkel, Stoimen Stoimenov
The covariant two-point functions, derived from Ward identities in direct space, can be affected by consistency problems and can become unbounded for large time- or space-separatio…
Dynamical symmetries and causality in non-equilibrium phase transitions
Malte Henkel
Dynamical symmetries are of considerable importance in elucidating the complex behaviour of strongly interacting systems with many degrees of freedom. Paradigmatic examples are coo…
From conformal invariance towards dynamical symmetries of the collisionless Boltzmann equation
Stoimen Stoimenov, Malte Henkel
Dynamical symmetries of the collisionless Boltzmann transport equation, or Vlasov equation, but under the influence of an external driving force, are derived from non-standard repr…
Causality from dynamical symmetry: an example from local scale-invariance
Malte Henkel
Physical ageing phenomena far from equilibrium naturally lead to dynamical scaling. It has been proposed to consider the consequences of an extension to a larger Lie algebra of loc…
The exotic conformal Galilei algebra and nonlinear partial differential equations
Roman Cherniha, Malte Henkel
The conformal Galilei algebra (CGA) and the exotic conformal Galilei algebra (ECGA) are applied to construct partial differential equations (PDEs) and systems of PDEs, which admit…
The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
Malte Henkel, Rene Schott, Stoimen Stoimenov +1
By introducing an unconventional realization of the Poincare algebra alt_1 of special relativity as conformal transformations, we show how it may occur as a dynamical symmetry alge…
Lie symmetries of semi-linear Schrödinger equations and applications
Stoimen Stoimenov, Malte Henkel
Conditional Lie symmetries of semi-linear 1D Schrödinger and diffusion equations are studied if the mass (or the diffusion constant) is considered as an additional variable. In thi…
Supersymmetric extensions of Schrödinger-invariance
Malte Henkel, Jeremie Unterberger
The set of dynamic symmetries of the scalar free Schrödinger equation in d space dimensions gives a realization of the Schrödinger algebra that may be extended into a representatio…
Dynamical symmetries of semi-linear Schrödinger and diffusion equations
Stoimen Stoimenov, Malte Henkel
Conditional and Lie symmetries of semi-linear 1D Schrödinger and diffusion equations are studied if the mass (or the diffusion constant) is considered as an additional variable. In…
On nonlinear partial differential equations with an infinite-dimensional conditional symmetry
Roman Cherniha, Malte Henkel
The invariance of nonlinear partial differential equations under a certain infinite-dimensional Lie algebra A_N(z) in N spatial dimensions is studied. The special case A_1(2) was i…
On lower bounds of the solutions of some simple reaction-diffusion equations
Malte Henkel
The mean-field reaction-diffusion equations of the diffusive pair-annihilation and triplett-annihilation processes are considered. A direct lower bound on the time-dependent mean p…