Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems

Studies the Lyapunov exponent gamma lambda (E) of (hu)(n)=u(n+1)+u(n-1)+ lambda V(n)u(n) in the limit as lambda to infinity where V is a suitable random potential. The authors prove that gamma lambda (E) approximately ln lambda as lambda to infinity uniformly as E/ lambda runs through compact sets. They also describe a formal expansion (to order lambda -2) for random and almost periodic potentials

Submillimeter Atmospheric Transparency at Maunakea, at the South Pole, and at Chajnantor

For a systematic assessment of submillimeter observing conditions at different sites, we constructed tipping radiometers to measure the broad band atmospheric transparency in the window around 350 $\mu$m wavelength. The tippers were deployed on Maunakea, Hawaii, at the South Pole, and in the vicinity of Cerro Chajnantor in northern Chile. Identical instruments permit direct comparison of these sites. Observing conditions at the South Pole and in the Chajnantor area are better than on Maunakea. Simultaneous measurements with two tippers demonstrate conditions at the summit of Cerro Chajnantor are significantly better than on the Chajnantor plateau.Comment: Accepted by PAS

Multidimensional perfectionism and narcissism: Grandiose or vulnerable?

Multidimensional perfectionism is related to grandiose narcissism, with other-oriented perfectionism showing the strongest, most consistent relationships. The relationships with vulnerable narcissism, however, are unclear. Our study investigated how three forms of perfectionism--self-oriented, other-oriented, and socially prescribed perfectionism (Hewitt & Flett, 1991)--are related to narcissistic grandiosity and vulnerability. A sample of 375 university students completed the Narcissistic Personality Inventory (Raskin & Terry, 1988), Hypersensitive Narcissism Scale (Hendin & Cheek, 1997), and Pathological Narcissism Inventory (Pincus et al., 2009) capturing various facets of narcissistic grandiosity and vulnerability. Multiple regressions were conducted controlling for the overlap between the three forms of perfectionism and gender. Other-oriented perfectionism showed unique positive relationships with key facets of grandiose narcissism. In contrast, socially prescribed perfectionism showed positive relationships with all facets of vulnerable narcissism. Self- and other-oriented perfectionism showed positive relationships with individual facets only. Other-oriented perfectionism appears to represent a form of perfectionism predominantly related to narcissistic grandiosity, whereas socially prescribed perfectionism is predominantly related to narcissistic vulnerability. As the first study to examine perfectionism in relation to narcissistic grandiosity and vulnerability, our research both extends and clarifies the nomological network of the perfectionism construct in important ways

Pauli-Fierz model with Kato-class potentials and exponential decays

Generalized Pauli-Fierz Hamiltonian with Kato-class potential \KPF in nonrelativistic quantum electrodynamics is defined and studied by a path measure. \KPF is defined as the self-adjoint generator of a strongly continuous one-parameter symmetric semigroup and it is shown that its bound states spatially exponentially decay pointwise and the ground state is unique.Comment: We deleted Lemma 3.1 in vol.

Quantum tunneling on graphs

We explore the tunneling behavior of a quantum particle on a finite graph, in the presence of an asymptotically large potential. Surprisingly the behavior is governed by the local symmetry of the graph around the wells.Comment: 18 page