Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture

Articles in the same Issue

1. Combinatorial Modulus on Boundary of Right-Angled Hyperbolic Buildings
2. Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres
3. Flats in Spaces with Convex Geodesic Bicombings
4. Tangent Lines and Lipschitz Differentiability Spaces
5. Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation
6. The Geometry of Model Spaces for Probability-Preserving Actions of Sofic Groups
7. Characterization of Low Dimensional RCD*(K, N) Spaces
8. Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
9. Isoperimetric Regions in Rⁿ with Density r^p
10. On the Hausdorff Dimension of CAT(κ) Surfaces
11. Quasi-Isometries Need Not Induce Homeomorphisms of Contracting Boundaries with the Gromov Product Topology
12. On the Regularity of Alexandrov Surfaces with Curvature Bounded Below
13. Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces
14. Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture
15. Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
16. Constant Distortion Embeddings of Symmetric Diversities
17. Hardy and Hardy-Sobolev Spaces on Strongly Lipschitz Domains and Some Applications
18. The Poincaré Inequality Does Not Improve with Blow-Up
19. Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces
20. Applications of Integral Geometry to Geometric Properties of Sets in the 3D-Heisenberg Group