90 citations
- Max Planck SocietyDE27 papers
- Max Planck Institute for Mathematics in the SciencesDE4 papers
- Collège de FranceFR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Brown UniversityUS1 paper
- Central China Normal UniversityCN1 paper
- Centre d’Immunologie de Marseille-LuminyFR1 paper
- Chinese Academy of SciencesCN1 paper
- Fondation Sophia AntipolisFR1 paper
- Independent University of MoscowRU1 paper
- Institut de recherche mathématique de RennesFR1 paper
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR1 paper
20 papers · 1 filter
How large can the first eigenvalue be on a surface of genus two?
D. Jakobson, M. Levitin, N. Nadirashvili +2
Sharp upper bounds for the first eigenvalue of the Laplacian on a surface of a fixed area are known only in genera zero and one. We investigate the genus two case and conjecture th…
Equidistribution of geodesics on homology classes and analogues for free groups
Yiannis Petridis, Morten S. Risager
We investigate how often geodesics have homology in a fixed set of the homology lattice of a compact Riemann surface. We prove that closed geodesics are equidistributed on any sets…
Structure of the tensor product semigroup
Michael Kapovich, John J. Millson
We study structure of the semigroup Tens(G) consisting of triples of dominant weights (λ,μ,ν) of a complex reductive Lie group G such that the triple tensor product of the correspo…
Cross-shaped and Degenerate Singularities in an Unstable Elliptic Free Boundary Problem
J. Andersson, G. S. Weiss
We investigate singular and degenerate behavior of solutions of the unstable free boundary problem First, we construct a solution that is not of class $C^{1…
Iterated Shimura integrals
Yu. I. Manin
In this paper I continue the study of iterated integrals of modular forms and noncommutative modular symbols for started in [Ma3]. Main new results involv…
Friendly measures, homogeneous flows and singular vectors
Dmitry Kleinbock, Barak Weiss
We prove that singular vectors have measure zero with respect to any friendly measure on (e.g. the volume measure on a nondegenerate submanifold). This generalizes speci…