Supersymmetry was first applied to high energy physics. In the early eighties, it found a second and very fruitful field of applications in stochastic quantum physics. This relates to Random Matrix Theory, the topic I focus on in this contribution. I review several aspects of more mathematical interest, in particular, supersymmetric extensions of the Itzykson– Zuber and the Berezin–Karpelevich ...

Pitch Class Profiles (PCP) [Fujishima 1999] are largely used for all applications involving harmonic content. Although the main steps of the PCP calculation are generally equal over all the scientific literature, some implementation details may vary, specially the impact of the distance between the frequency of the FFT bins and their closest note. This paper compares 6 ways of using this distan...

Traveling Wave Tubes (TWTs) consist of different elements. The most important element of TWT is the RF circuit. RF circuits in helix TWTs need a dielectric support to hold the helix; this support also has an effect in electromagnetic properties of RF circuits. A novel dielectric support is proposed to reduce the second harmonic of helix TWTs. The dielectric support in this structure consists of...

A model of auditory grouping is described in which auditory attention plays a key role. The model is based upon an oscillatory correlation framework, in which neural oscillators representing a single perceptual stream are synchronised, and are desynchronised from oscillators representing other streams. The model suggests a mechanism by which attention can be directed to the high or low tones in...

The paper is devoted to the solution of the inverse boundary problem for the heat equation. Let Ω be a connected bounded domain in R n (n ≥ 2) with C l (l ≥ 2) boundary Γ. Consider the mixed problem for the heat equation (1.1)        (ρ(x)∂ t − −)u f (t, x) = 0 in (0, +∞) × Ω, u f (t, x) = f (t, x) o n(0 , +∞) × Γ, u f (0, x) = 0 on Ω. The density ρ(x) is a C l+σ , 0 < σ < 1, function on...

In this paper, we study the Lehmer’s type congruences for lacunary harmonic sums.

In this paper we introduce a refinement and diversification process for re-ranking image search results based on social metadata and visual characteristics of the photos. The goal of the developed re-ranking algorithm is to construct a new sequence with maximal value of the harmonic mean of precision and diversity. Our contribution is twofold: estimation of precision using the statistical avera...

Intermittency and chaotic rotations are interesting recent topics in nonlinear dynamics, and we are pleased that our contribution @2# is of sufficient interest to have generated the preceding Comment by Pikovsky and Rosenblum @1#. We welcome the opportunity to respond and to clarify our work. The main point of our original paper is that a chaotic rotation typically exhibits an intermittent beha...

The focus of this presentation is to describe our efforts at laser generation of high frequency surface acoustic waves and detection of the nonlinear contribution in the acoustic near-field of the source. Narrow band acoustic generation is accomplished by interfering two pulsed laser beams at the surface of the sample. A Michelson interferometer, that incorporates a high power microscope object...

We discuss methods for the calculation of the total partonic Higgs boson production cross section via gluon fusion and the result for the contribution that stems from two quarks of different flavor in the initial state. Our calculation is exact in the Higgs boson mass and the partonic center-of-mass energy. The result is expressed in terms of iterated integrals, some of which are Harmonic Polyl...