Seismic Waves in a Quarter and Three-Quarter Plane

Corner Diffraction Coefficients for the Quarter Plane

The current near a right-angled comer on a perfectly conducting flat scatterer illuminated by a plane wave is expressed as a sum of three currents. The first is the physical optics (PO) current, which describes the surface effect. The second is the fringe wave (FW) current, which is found from the half-plane solution and accounts for the distortion of the current caused by the edges. The third ...

MIXED BOUNDARY VALUE PROBLEM FOR A QUARTER-PLANE WITH A ROBIN CONDITION

We consider a mixed boundary value problem for a quarter-plane with a Robin condition on one edge. We have developed two procedures, one based on the advanced theory of dual integral equations and the other, in our opinion simpler technique, relying on conformal mapping. Both of the procedures are of interest, because the former may be easier to adapt to other boundary value problems.

Toeplitz Operators in a Quarter-plane by Gilbert Strang

Walks in the Quarter Plane: Analytic Approach and Applications

In this survey we present an analytic approach to solve problems concerning (deterministic or random) walks in the quarter plane. We illustrate the recent breakthroughs in that domain with two examples. The first one is about the combinatorics of walks confined to the quarter plane, and more precisely about the numbers of walks evolving in the quarter plane and having given length, starting and...

Quarter Boundary in Historical Fabrics of Iranian Cities Case Study: Ali Gholi Agha Quarter, Isfahan

The boundary of quarter is among the subjects that have been widely addressed in urban planning and urban design research. Clearly, several studies have examined the issue of “quarter boundaries in the historical fabric of Iranian cities”, but the literature review shows that there are still ambiguities in this regard. There are two contradictory answers to this issue: one group of studies ...