36 citations · 110 across the 8 of their papers we have counts for
9 papers
Staticity of Asymptotically Hyperbolic Minimal Mass Extensions
Daniel Martin
In this paper, we give a definition for the Bartnik mass of a domain whose extensions are asymptotically hyperbolic manifolds. With this definition, we show that asymptotically hyp…
A High Order Cartesian Grid, Finite Volume Method for Elliptic Interface Problems
Will Thacher, Hans Johansen, Daniel Martin
We present a higher-order finite volume method for solving elliptic PDEs with jump conditions on interfaces embedded in a 2D Cartesian grid. Second, fourth, and sixth order accurac…
A geometric study of circle packings and ideal class groups
Daniel Martin
A family of fractal arrangements of circles is introduced for each imaginary quadratic field . Collectively, these arrangements contain (up to an affine transformation) every se…
Bounds on entries in Bianchi group generators
Daniel E. Martin
Upper and lower bounds are given for the maximum Euclidean curvature among faces in Bianchi's fundamental polyhedron for in the upper-half space model of hyperbolic spac…
Incoherent hydrodynamics and density waves
Aristomenis Donos, Daniel Martin, Christiana Pantelidou +1
We consider thermal phases of holographic lattices at finite chemical potential in which a continuous internal bulk symmetry can be spontaneously broken. In the normal phase, trans…
Hydrodynamics of broken global symmetries in the bulk
Aristomenis Donos, Daniel Martin, Christiana Pantelidou +1
We consider holographic theories at finite temperature in which a continuous global symmetry in the bulk is spontaneously broken. We study the linear response of operators in a reg…
Mass rigidity for hyperbolic manifolds
Lan-Hsuan Huang, Hyun Chul Jang, Daniel Martin
We prove the rigidity of positive mass theorem for asymptotically hyperbolic manifolds. Namely, if the mass equality holds, then the manifold is isometric to hyperbolic space. The…
Static potentials and area minimizing hypersurfaces
Lan-Hsuan Huang, Daniel Martin, Pengzi Miao
We show that if an asymptotically flat manifold with horizon boundary admits a global static potential, then the static potential must be zero on the boundary. We also show that if…
High order finite element calculations for the deterministic Cahn-Hilliard equation
Ludovic Goudenège, Daniel Martin, Grégory Vial
In this work, we propose a numerical method based on high degree continuous nodal elements for the Cahn-Hilliard evolution. The use of the p-version of the finite element method pr…