326 citations
- Max Planck SocietyDE169 papers
- Max Planck Institute for Mathematics in the SciencesDE63 papers
- Capital Normal UniversityCN20 papers
- University of BonnDE8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Northwestern UniversityUS6 papers
- Leipzig UniversityDE5 papers
- California Institute of TechnologyUS4 papers
- Fudan UniversityCN4 papers
- University of WuppertalDE4 papers
- Collège de FranceFR3 papers
- National Academy of Sciences of BelarusBY3 papers
14 papers · 1 filter
Moments on Riemann surfaces and hyperelliptic Abelian integrals
L. Gavrilov, F. Pakovich
In the present paper we solve the following different but interrelated problems: (a) the moment problem on Riemann surfaces, (b) the vanishing problem of polynomial Abelian integra…
Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients
Jerome Coville, Nicolas Dirr, Stephan Luckhaus
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear pa…
Chern-Simons Theory and S-duality
Tudor Dimofte, Sergei Gukov
We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M. By realizing Chern-Simons theory via a compactification of a 6d five-brane theory on M,…
Discriminants and Artin conductors
Dennis Eriksson
We study questions of multiplicities of discriminants for degenerations coming from projective duality over discrete valuation rings. The main result is a type of discriminant-diff…
Complex transitions to synchronization in delay-coupled networks of logistic maps
Cristina Masoller, Fatihcan M. Atay
A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneous…
Inequalities Detecting Quantum Entanglement for Systems
Ming-Jing Zhao, Teng Ma, Shao-Ming Fei +1
We present a set of inequalities for detecting quantum entanglement of quantum states. For and systems, the inequalities give rise to suffici…