Temperature dependence of the fluorescence properties of thioflavin-T in propanol, a glass-forming liquid

Steady-state and time-resolved emission techniques were employed to study the nonradiative process of Thioflavin-T (ThT) in 1-propanol as a function of temperature. We found that the nonradiative rate, k(nr), decreased by about 3 orders of magnitude when the temperature was lowered to 88 K. We found remarkably good correspondence between the temperature dependence of k(nr) of ThT and the dielectric relaxation times of the 1-propanol solvent.     

On Homogeneous Standard Integral Table Algebras of Degree 4

In this paper we classify, up to exact isomorphism, the algebras in the title which contain a faithful element and in which every non-trivial table subset has dimension at least five.     

Efficient Removal Lemmas for Matrices

Order - It was recently proved in Alon et al. (2017) that any hereditary property of two-dimensional matrices (where the row and column order is not ignored) over a finite alphabet is testable with...     

Observation of asymptotic localization of a wave packet

We present the experimental observation of asymptotic localization, a new regime of wave packet localization under the action of an external linear potential gradient. We employ arrays of evanescently coupled waveguides and directly observe the wave packet trajectory, which exhibits an oscillation with vanishing amplitude and period.     

Invariant measures and asymptotics for some skew products

For certain group extensions of uniquely ergodic transformations, we identify all locally finite, ergodic, invariant measures. These are Maharam type measures. We also establish the asymptotic behaviour for these group extensions proving logarithmic ergodic theorems, and bounded rational ergodicity.     

A Bessel identity for the theta correspondence

We establish a spectral identity between global Bessel distributions with respect to generic cuspidal representations of an odd orthogonal group and the metaplectic cover of a symplectic group which are related by the theta correspondence. We also provide analogous local identities for square-integrable representations.     

Continuous Phase Transitions for Dynamical Systems

We study the asymptotic expansion of the topological pressure of one–parameter families of potentials at a point of non-analyticity. The singularity is related qualitatively and quantitatively to non–Gaussian limit laws and to slow decay of correlations with respect to the equilibrium measure.This work was partially supported by NSF grant DMS–0400687.Dedicated to Y. Pesin on the occasion of his 60th birthday     

Kinetic investigation of the upper laser levels of the copper vapor laser

A modernized hook apparatus was used to study the population history of the ²P_{$\text{1}\text{2}$} and ²P_{$\text{3}\text{2}$} upper laser levels of the copper vapor laser. It was found that the effective lifetime of these levels is a sensitive function of the laser input current. The population of these levels saturates for a peak current of 200 A, which corresponds to a voltage slightly above the breakdown voltage of the tube.     

Routing and Admission Control in General Topology Networks with Poisson Arrivals

Emerging high-speed networks will carry traffic for services such as video-on-demand and video teleconferencing that require resource reservation along the path on which the traffic is sent. High bandwidth-delay product of these networks prevents circuit rerouting, i.e., once a circuit is routed on a certain path, the bandwidth taken by this circuit remains unavailable for the duration (holding time) of this circuit. As a result, such networks will need effectiveroutingandadmission controlstrategies. Recently developed on-line routing and admission control strategies have logarithmic competitive ratios with respect to theadmission ratio(the fraction of admitted circuits). Such guarantees on performance are rather weak in the most interesting case where the rejection ratio of the optimum algorithm is very small or even 0. Unfortunately, these guarantees cannot be improved in the context of the considered models, making it impossible to use these models to identify algorithms that are going to perform well in practice. In this paper we develop routing and admission control strategies for a probabilistic model, where the requests for virtual circuits between any two points arrive according to a Poisson process and where the circuit holding times are exponentially distributed. Our model is close to the one that was developed to analyze and tune the (currently used) strategies for managing traffic in long-distance telephone networks. We strengthen this model by assuming that the rates of the Poisson processes (the “traffic matrix”) are unknown to the algorithm and are chosen by the adversary. Our strategy is competitive with respect to the expectedrejection ratio. More precisely, it achieves an expected rejection ratio of at mostR* + ?, whereR* is the optimum expected rejection ratio. The expectations are taken over the distribution of the request sequences, and, whereris the maximum fraction of an edge bandwidth that can be requested by a single circuit. Our result should be viewed in the context of the previous competitive routing and admission control strategies that requirer ≤ 1/log n, but are not able to formally analyze the (intuitively clear) relation betweenrand the performance achievable in realistic situations.