Rose–Hulman Institute of Technology

output

20002026

most citedChimera states: Coexistence of coherence and incoherence in networks of coupled oscillators

801 citations

97 papers

gr-qc2026★ 2 cited

The general set of Noetherian energy-momentum tensors in linearized gravity: mathematical framework

Lydia Beth Taylor, Mark Robert Baker

Energy-momentum tensors are foundational objects which are uniquely defined in standard physical field theories such as electrodynamics and Yang-Mills theory. In general relativity…

astro-ph.HE2026★ 1 cited

Production of Jets before Neutron Star Mergers

Praveen Sharma, Slava G. Turyshev, Maxim V. Barkov +1

We demonstrate that magnetospheric interactions between merging neutron stars (NSs) generate dual-jetted current outflows, analogous to the Alfvén wings observed during planetary i…

math.OC2025

Central Path Art

Thor Catteau, Benjamin Glancy, Allen Holder +4

The central path revolutionized the study of optimization in the 1980s and 1990s due to its favorable convergence properties, and as such, it has been investigated analytically, al…

math.AP2025

The $L^{p}$ -continuity of wave operators for fractional order Schrödinger operators

M. Burak Erdogan, Michael Goldberg, William Green

We consider fractional Schrödinger operators $H = (- Δ)^{α} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 2 α$ , $α > 1$ . We show that the wave operators extend to bounded…

math.AP2024★ 1 cited

Inverse Iteration for the Laplace Eigenvalue Problem with Robin and Mixed Boundary Conditions

Benjamin Lyons, Emily Ruttenberg, Nicholas Zitzelberger

We apply the method of inverse iteration to the Laplace eigenvalue problem with Robin and mixed Dirichlet-Neumann boundary conditions, respectively. For each problem, we prove conv…

math.AP2024★ 3 cited

$L^{p}$ -continuity of wave operators for higher order Schrödinger operators with threshold eigenvalues in high dimensions

M. Burak Erdogan, William R. Green, Kevin LaMaster

We consider the higher order Schrödinger operator $H = (- Δ)^{m} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 4 m$ , $m \in N$ . We adapt our recent results for $m…