$HYPB hyperbolic

Latest papers

1. Transference principles for divergence sets of dispersive equations and their applications math.AP · 14 Oct · 1 hit

   …Klein-Gordon propagations in the radial setting. (3) We study analogues of (2) for the $3$-dimensional real hyperbolic space by obtaining dimension estimates for a wide class of dispersive propagations: the…

2. Analytical Time-Domain Waveforms for Black-Hole Scattering in the Post-Minkowskian Expansion gr-qc · 14 Oct · 1 hit

   We present the first analytic computation of the time-domain multipoles of the gravitational waveform from hyperbolic black-hole scattering at leading order in the post-Minkowskian expansion, to all orders in…

3. Analytical Time-Domain Waveforms for Black-Hole Scattering in the Self-Force Expansion gr-qc · 14 Oct · 1 hit

   We obtain a systematic understanding of the time-domain gravitational waveform of hyperbolic black-hole scattering at first order in the self-force expansion and all orders in the…

4. On local minimality of Hausdorff dimension for round limit sets math.GT · 14 Oct · 1 hit

   We address a question of Canary--Taylor and Canary--Minsky--Taylor for sufficiently symmetric compact hyperbolic $3$-orbifolds with totally geodesic boundary. We give sufficient conditions on the symmetries of…

5. Geometric $C^1$-stability of geodesic spheres under volume-preserving mean curvature flow math.DG · 14 Oct · 1 hit

   …hence long-time existence, eventual convexity, and smooth exponential convergence to a geodesic sphere. In hyperbolic space, the eventual convexity can be strengthened to horospherical convexity. The reflection…

6. Topological obstruction for Anosov representations into $\operatorname{PO}(p, q)$ math.DG · 14 Oct · 1 hit

   We establish new restrictions on the virtual cohomological dimension of word hyperbolic groups admitting Anosov representations into $\operatorname{PO}(p, q)$ ($p > q \geq 2$) or the…

7. Reciprocal Dynamics in Congruence Jumping: Integral Orbits and Valuation Cones math.DS · 14 Oct · 3 hits

   …This yields a finite-order, elliptic-type regime for $s<4$, a parabolic dilation regime for $s=4$, and a hyperbolic regime for $s>4$. In the hyperbolic case, invariant thresholds, irrational eigencones, and…

8. A note on the failure of Payne's inequality on manifolds with boundary math.SP · 14 Oct · 1 hit

   We show that Payne's conjecture on the comparison between Dirichlet Laplacian eigenvalues and buckling eigenvalues does not hold on flat and hyperbolic cylindrical surfaces and on (round) hemispheres.