Low-rank matrix approximations over canonical subspaces
In this paper we derive closed form expressions for the nearest rank-\(k\) matrix on canonical subspaces. We start by studying three kinds of subspaces. Let \(X\) and \(Y\) be a pair of given matrices. The first subspace contains all the \(m\times
Achiya Dax
doaj +7 more sources
Physics of the Non-Abelian Coulomb Phase: Insights from Pad\'e Approximants [PDF]
We consider a vectorial, asymptotically free SU($N_c$) gauge theory with $N_f$ fermions in a representation $R$ having an infrared (IR) fixed point.
Ryttov, Thomas A., Shrock, Robert
core +3 more sources
Partition of unity interpolation using stable kernel-based techniques [PDF]
In this paper we propose a new stable and accurate approximation technique which is extremely effective for interpolating large scattered data sets.
Cavoretto, R. +4 more
core +1 more source
Indications for the Nonexistence of Three-Neutron Resonances near the Physical Region [PDF]
The pending question of the existence of three-neutron resonances near the physical energy region is reconsidered. Finite rank neutron-neutron forces are used in Faddeev equations, which are analytically continued into the unphysical energy sheet below ...
A. Csoto +25 more
core +4 more sources
A Precessing Numerical Relativity Waveform Surrogate Model for Binary Black Holes: A Gaussian Process Regression Approach [PDF]
Gravitational wave astrophysics relies heavily on the use of matched filtering both to detect signals in noisy data from detectors, and to perform parameter estimation on those signals.
Clark, James A +4 more
core +2 more sources
From bound states to resonances: analytic continuation of the wave function [PDF]
Single-particle resonance parameters and wave functions in spherical and deformed nuclei are determined through analytic continuation in the potential strength.
A.A. Sonzogni +20 more
core +3 more sources
Interpolation Parameter and Expansion for the Three Dimensional Non-Trivial Scalar Infrared Fixed Point [PDF]
We compute the non--trivial infrared $\phi^4_3$--fixed point by means of an interpolation expansion in fixed dimension. The expansion is formulated for an infinitesimal momentum space renormalization group.
A. M. Ferrenberg +15 more
core +2 more sources
Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
We consider a vectorial, asymptotically free gauge theory and analyze the effect of higher-loop corrections to the beta function on the evolution of the theory from the ultraviolet to the infrared.
A. Deuzeman +10 more
core +1 more source
Scheme-Independent Calculations of Physical Quantities in an ${\cal N}=1$ Supersymmetric Gauge Theory [PDF]
We consider an asymptotically free, vectorial, ${\cal N}=1$ supersymmetric gauge theory with gauge group $G$ and $N_f$ pairs of chiral superfields in the respective representations ${\cal R}$ and $\bar {\cal R}$ of $G$, having an infrared fixed point ...
Ryttov, Thomas A., Shrock, Robert
core +2 more sources
Greene's Residue Criterion for the Breakup of Invariant Tori of Volume-Preserving Maps [PDF]
Invariant tori play a fundamental role in the dynamics of symplectic and volume-preserving maps. Codimension-one tori are particularly important as they form barriers to transport.
Adam M. Fox +56 more
core +3 more sources

