A scattering description is proposed for a boundary perturbation of a c = 1 SL(2, Z) invariant conformal field theory. The bulk massless S-matrices are of the form of Zamolodchikov’s staircase model. Using the boundary version of the thermodynamic Bethe ansatz, we show that the boundary free energy goes through a series of integer valued plateaux as a function of system size. Typeset using REVTEX

High resolution direction-of-arrival (DOA) estimation algorithm for array antennas becomes popular in these days. However, there are several error factors such as mutual coupling among the elements in actual array. Hence array calibration is indispensable to realize intrinsic performance of the algorithm. In the many applications, it is preferable that the calibration can be done in the practic...

In full-waveform inversion of seismic body waves, often the free surface is ignored on grounds of computational efficiency.Asynthetic study was performed to investigate the effects of this simplification. In terms of size and frequency, the test model and data conform to a real long-offset survey of the upper crust across the San Andreas fault. Random fractal variations are superimposed on a ba...

A large metal sculpture, consisting of four orbs, commissioned for the stairway atrium of the Fitzpatrick CIEMAS Engineering Building at Duke University embodies the important idea that Science, Technology, Engineering, Mathematics and Art are closely connected. Made from hundreds of pounds of powder-coated, laser-cut aluminum, with an underlying geometric design, it was assembled at a four-hou...

Chronic negative stress may be the start of a progress illness, that end in serious troubles for affected. In this Perspective we highlight steps such progress, what call staircase stress. This underlines importance recognition, understanding and therapeutic measures at an early stage disorders.

We propose a new family of spatially coupled product codes, called sub-block rearranged staircase (SR-staircase) codes. Each code block SR-staircase codes is obtained by encoding preceding blocks and information blocks, where the rearrangement involves sub-blocks decomposition transposition. The proposed can be constructed to have each size <inline-formula xmlns:mml="http://www.w3.org/1998/Math...

Abstract This article introduces a new method to construct volume-filling symplectic embeddings of 4-dimensional ellipsoids by employing polytope mutations in toric and almost varieties. The construction uniformly recovers the full sequences for Fibonacci Staircase McDuff–Schlenk, Pell Frenkel–Müller Cristofaro-Gardiner–Kleinman Staircase, adds infinite ellipsoid embeddings. In addition, we ini...