Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...

Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

This is a preview. Log in through your library . Abstract Analyses of geostatistical data are often based on the assumption that the spatial random field is isotropic. This assumption, if erroneous, ...

The Annals of Probability, Vol. 15, No. 3 (Jul., 1987), pp. 954-984 (31 pages) We give conditions for transience and recurrence for certain diffusion processes in the plane which "look" recurrent in ...

Coming to grips with the semantics and vocabulary that apply to “distortion” takes a little discipline, but it isn’t all that intimidating. All you need is a little patience to go over the relevant ...

In the early nineteenth century, the French mathematical physicist Joseph Fourier showed that many mathematical functions can be represented as the weighted sum of a series of sines and cosines of ...