The Norm in Taxicab Geometry

A TAXICAB VERSION OF A TRIANGLE' S APOLLONIUS CIRCLE

One of the most famous problems of classical geometry is the Apollonius' problem asks construction of a circle which is tangent to three given objects. These objects are usually taken as points, lines, and circles. This well known problem was posed by Apollonius of Perga ( about 262 - 190 B.C.) who was a Greek mathematician known as the great geometer of ancient times after Euclid and Archimede...

Rayleigh Wave Dispersion Curve Inversion: Occam Versus the L1-Norm

Limiting Fractional and Lorentz Space Estimates of Differential Forms

We obtain estimates in Besov, Triebel–Lizorkin and Lorentz spaces of differential forms on Rn in terms of their L1 norm.

Minimum L1-norm Estimation for Fractional Ornstein-Uhlenbeck Type Process

We investigate the asymptotic properties of the minimum L1-norm estimator of the drift parameter for fractional Ornstein-Uhlenbeck type process satisfying a linear stochastic differential equation driven by a fractional Brownian motion.

[Cambridge University Press Prize for Best Student Paper] When There's More than One Norm-Enforcement Mechanism: Accommodation and Shift among Irish Immigrants to New York City