326 citations
- Max Planck Institute for MathematicsDE12 papers
- Max Planck SocietyDE4 papers
- Baylor UniversityUS2 papers
- Institute of PhysicsPL2 papers
- University of OregonUS2 papers
- Central China Normal UniversityCN1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Chinese Academy of SciencesCN1 paper
- Courant Institute of Mathematical SciencesUS1 paper
- Indiana University BloomingtonUS1 paper
- Jagiellonian UniversityPL1 paper
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR1 paper
5 papers · 1 filter
Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
Global Analysis of Synchronization in Coupled Maps
Juergen Jost, Kiran M. Kolwankar
We introduce a new method for determining the global stability of synchronization in systems of coupled identical maps. The method is based on the study of invariant measures. Besi…
The Spectral Geometry of the Equatorial Podles Sphere
Ludwik Dabrowski, Giovanni Landi, Mario Paschke +1
We propose a slight modification of the properties of a spectral geometry a la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operator…
Convex integration for Lipschitz mappings and counterexamples to regularity
S. Muller, V. Sverak
We study Lispchitz solutions of partial differential relations , where is a vector-valued function in an open subset of . In some cases the set of solutions…
Total and partial amplitude death in networks of diffusively coupled oscillators
Fatihcan M. Atay
Networks of weakly nonlinear oscillators are considered with diffusive and time-delayed coupling. Averaging theory is used to determine parameter ranges for which the network exper…