252 citations
- Georgia Institute of TechnologyUS3 papers
- National University of Mar del PlataAR3 papers
- Emory and Henry CollegeUS2 papers
- Institute for Scientific InterchangeIT2 papers
- University College LondonGB2 papers
- University of California, BerkeleyUS2 papers
- University of PennsylvaniaUS2 papers
- Weizmann Institute of ScienceIL2 papers
- Atlanta University CenterUS1 paper
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6 papers · 1 filter
Sharp upper bounds on resonances for perturbations of hyperbolic space
David Borthwick
For certain compactly supported metric and/or potential perturbations of the Laplacian on , we establish an upper bound on the resonance counting function with an…
Rational certificates of positivity on compact semialgebraic sets
Victoria Powers
Schmüdgen's Theorem says that if a basic closed semialgebraic set K = {g_1 \geq 0, ..., g_s \geq 0} in R^n is compact, then any polynomial f which is strictly positive on K is in t…
Small-World Bonds and Patchy Percolation on the Hanoi Network
S. Boettcher, J. L. Cook, R. M. Ziff
The bond-percolation properties of the Hanoi networks are analyzed with the renormalization group. Unlike scale-free networks, they are meant to provide an analytically tractable i…
Flow fields in soap films: relating surface viscosity and film thickness
V. Prasad, Eric R. Weeks
We follow the diffusive motion of colloidal particles in soap films with varying , where is the thickness of the film and the diameter of the particles. The hydrodynam…
Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections
Jakub Otwinowski, Stefan Boettcher
A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long-range connections. This…
A characterization of revolution quadrics by a system of partial differential equations
Vladimir Oliker
It is shown that existence of a global solution to a particular nonlinear system of second order partial differential equations on a complete connected Riemannian manifold has topo…