Results 91 to 100 of about 112,078 (333)
Eigenfunction concentration via geodesic beams [PDF]
In this article we develop new techniques for studying concentration of Laplace eigenfunctions $\phi_\lambda$ as their frequency, $\lambda$, grows. The method consists of controlling $\phi_\lambda(x)$ by decomposing $\phi_\lambda$ into a superposition of
Canzani, Yaiza, Galkowski, Jeffrey
core +2 more sources
Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona+2 more
wiley +1 more source
Particle Acceleration at Ultrarelativistic Shocks: An Eigenfunction Method [PDF]
We extend the eigenfunction method of computing the power-law spectrum of particles accelerated at a relativistic shock front to apply to shocks of arbitrarily high Lorentz factor.
J. G. Kirk+3 more
semanticscholar +1 more source
Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations
We reveal a general explicit relation between the statistics of delay times in one-channel reflection from a mesoscopic sample of any spatial dimension and the statistics of the eigenfunction intensities in its closed counterpart.
A. Ossipov+23 more
core +1 more source
Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models
ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco+4 more
wiley +1 more source
Minimal supports of eigenfunctions of Hamming graphs [PDF]
We find minimal supports of eigenfunctions of Hamming graphs for eigenvalue n(q-1)-q and describe eigenfunctions with minimal support.
arxiv
Reversed shear Alfven eigenmodes (RSAEs) usually sweep upward in frequency when the minimum value of the safety factor qmin decreases in time. On rare occasions, RSAEs sweep downward prior to the upward sweep.
W. Heidbrink+4 more
semanticscholar +1 more source
The Shape of the Level Sets of the First Eigenfunction of a Class of Two Dimensional Schr\"odinger Operators [PDF]
We study the first Dirichlet eigenfunction of a class of Schr\"odinger operators with a convex potential V on a domain $\Omega$. We find two length scales $L_1$ and $L_2$, and an orientation of the domain $\Omega$, which determine the shape of the level ...
Beck, Thomas
core
Lichnerowicz Modes and Black Hole Families in Ricci Quadratic Gravity
A new branch of black hole solutions occurs along with the standard Schwarzschild branch in $n$-dimensional extensions of general relativity including terms quadratic in the Ricci tensor.
Lu, H.+3 more
core +1 more source
Divergence of eigenfunction expansions
We shall use a result of Rellich on the convergence of spectral projections to analyze mean and almost everywhere convergence of eigenfunction expansions. The basic result is a transplantation theorem, which reduces these questions on manifolds to questions on the boundedness of Fourier multiplier operators on the cotangent space. Results such as these
Robert J. Stanton+2 more
openaire +2 more sources