On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

Trend · papers per month

count % of corpus

4 results for “MP-systems”

The linearization of the boundary rigidity problem for MP-systems and generic local boundary rigiditymath.DG

Study on magnetic field and potential systems to prove rigidity results.

problem Proving rigidity for magnetic field and potential systems.

method Explicit relation between ray transform and magnetic one, applying results from [DPSU07].

result Existence of a generic set of simple MP-systems with the same boundary action function must be k-gauge equivalent.

MP-systems boundary rigidity ray transform magnetic field potential

2024-01-21abs ↗pdf ↗

The boundary and scattering rigidity problems for simple MP-systemsmath.DG

Researchers solve boundary and scattering rigidity problems for magnetic systems.

problem Recovering magnetic systems from boundary or scattering data.

method Reduced to magnetic systems and applied results from [DPSU07].

result Recovering

\mathcal{MP}

-system up to a gauge.

rigidity problems magnetic systems boundary rigidity scattering rigidity simple systems

2023-12-05abs ↗pdf ↗

Boundary and scattering rigidity problems in the presence of a magnetic field and a potentialmath.DG

In this paper, we consider a compact Riemannian manifold with boundary, endowed with a magnetic potential $α$ and a potential $U$ . For brevity, this type of systems are called $\MP$-systems. On simple $\MP$-systems, we consider both the boundary rigidity problem and scattering rigidity problem, see the introduction for…

2013-07-29abs ↗pdf ↗

Scattering rigidity for standard stationary manifolds via timelike geodesicsmath.DG

Study scattering rigidity on stationary manifolds using geodesics.

problem Scattering rigidity on standard stationary manifolds.

method Use Hamiltonian reduction to relate to

\mathcal{MP}

-systems.

result New rigidity results for stationary manifolds.

scattering rigidity stationary manifolds timelike geodesics Hamiltonian reduction rigidity results

2024-04-15abs ↗pdf ↗