We present an investigation of a two-dimensional inelastic impact oscillator representing a friction force microscope. This paper includes the equations of motion, an analysis of the Jacobi matrix, and the fundamental domain. By applying periodic orbit theory to these and then calculating the diffusion, we find a possible link between nanotribology and everyday kinetic friction. Included is a s...

[1] We have analyzed thirteen years (1993 to 2005) of HALOE and over two years of EOS MLS observations (September 2004 to December 2006) for QBO and annual cycle trace variations in tropical H2O, HCl, ozone, N2O, CO, HF, and CH4. We use these results to develop the theory explaining both Brewer-Dobson circulation (BDC) and QBO driven fluctuations in tropical trace gases. For H2O, BDC variations...

We show that a non-trivial dilaton condensation alters the dimensions of orientifold planes. An off-shell crosscap state which naturally interpolates between the usual onshell crosscap states and their T-duals plays an important role in the analysis. We present an explicit representation of the off-shell crosscap state on an RP 2 worldsheet in the gauge in which the worldsheet curvature in the ...

Aggregating the opinions of different agents is a powerful way to find high-quality solutions to complex problems. However, when using agents in this fashion, there are two fundamental open questions. First, given a universe of agents, how to quickly identify which ones should be used to form a team? Second, given a team of agents, what is the best way to aggregate their opinions? Many research...

This paper concerns changing needs and expectations in the way mathematics is practiced and communicated. The time frame is mainly the early twentieth century to the present and the scope is all activity that can be considered to fall under the purview of the mathematical community. Unavoidably, the idea of a mathematical community is confronted; what it means to claim ownership in this communi...

In this note, we study the distribution of closed geodesics in homology on a finite area hyperbolic surface. We obtain an estimate which is uniform as the homology class varies, refining an asymptotic formula due to C. Epstein. 0. Introduction Let M be a finite area hyperbolic surface, i.e., the quotient of the hyperbolic plane H by the free action of a group of isometries such that the fundame...

Closed string theories on orbifolds contain both untwisted and twisted states. The latter are normally assumed to live exactly at the orbifold fixed points. We perform a calculation of a gauge field tadpole amplitude and show that off–shell both the twisted and untwisted states give rise to non–trivial momentum profiles over the orbifold C/Z3. These profiles take the form of Gaussian distributi...

We show that a non-trivial dilaton condensation alters the dimensions of orientifold planes. An off-shell crosscap state which naturally interpolates between the usual onshell crosscap states and their T-duals plays an important role in the analysis. We present an explicit representation of the off-shell crosscap state on an RP 2 worldsheet in the gauge in which the worldsheet curvature in the ...

There are investigated supergroups of some hyperbolic space groups with simplicial fundamental domain. If the vertices of these simplices are out of the absolute, we can truncate them by polar planes of the vertices and the new polyhedra are fundamental ones of the richer groups. In papers of E. Molnár, I. Prok and J. Szirmai the simplices, investigated here, are collected in families F3, F4 an...

A class of stratified posets I∗ ̺ is investigated and their incidence algebras KI ̺ are studied in connection with a class of non-shurian vector space categories. Under some assumptions on I∗ ̺ we associate with I ∗ ̺ a bound quiver (Q,Ω) in such a way that KI∗ ̺ ≃ K(Q,Ω). We show that the fundamental group of (Q,Ω) is the free group with two free generators if I ̺ is rib-convex. In this case the uni...