Using the Laughlin's argument on a torus with two pinholes, we numerically demonstrate that discontinuities of center mass work well as an invariant pumping phenomena during process flux attachment, trading magnetic for statistical one. This is consistent bulk-edge correspondence fractional quantum Hall effect anyons. We also confirm general feature edge states remains unchanged while topologic...

A theorem due to Hindman states that if E is a subset of ? with d*(E) > 0, where d* denotes the upper Banach density, then for any ? 0 there exists N ? such $$d^{\ast}(\cup_{i=1}^{N}(E-i))>1-\varepsilon$$ . Curiously, this result does not hold one replaces density $$\bar{d}$$ Originally proved combinatorially, Hindman’s allows quick and easy proof using an ergodic version Furstenberg’s correspo...

in his attempt to investigate how communication, understanding and interpretation develop, donald davidson appeals to the so-called “principle of charity” anduses it across the board. this principle in fact is a set of different and interrelated principles and consists in three bases: consistency, correspondence and agreement. in this paper, reviewing function, position and different aspects of...