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We study the motion of charged test particles around a Kerr black hole immersed in the asymptotically uniform magnetic field, concluding that off-equatorial stable orbits are allowed in this system. B...
The problem of buckling and coiling of jets of viscous, Newtonian liquids has received a substantial level of attention over the past two decades, both from experimental and theoretical points of view...
This article contains both a point process and a sequential description of the greatest convex minorant of Brownian motion on a finite interval. We use these descriptions to provide new analysis of v...
In 1651 the Italian Jesuit Giovanni Battista Riccioli (1598-1671) published in his encyclopedic work on astronomy, the Almagestum Novum, 77 arguments against the Copernican movement of the Earth. The...
Fractional Brownian motion is a Gaussian process x(t) with zero mean and two-time correlations hx(t1)x(t2)i = Dt2H 1 + t2H 2 􀀀 jt1 􀀀 t2j2H, where H, with 0 < H < 1 is called the Hu...
We propose the method of investigation of radial motions for charged and neutral test particles in the Reissner-Nordstr¨om field by means of mass potential. In this context we analyze special features...
The dynamics of time-dependent coupled oscillator model for the charged particle motion subjected to a time-dependent external magnetic field is investigated. We used canonical transformation approach...
Several laser techniques have been suggested and demonstrated recently for preparing polarizable molecules in rapidly spinning states with a disc-like angular distribution. We consider motion of thes...
Empirical evidence suggests a tantalising but unproven link between various indicators of solar activity and the barycentric motion of the Sun. The latter is exemplified by transitions between regular...
Researchers especially beginning with (Rogers & Graham, 1982) have noticed important psychophysical and experimental similarities between the neurologically different motion parallax and stereopsis cu...
In this work, we use a powerful analytical method called homotopy analysis method (HAM) to derive the frequency of a nonlinear oscillating system. Unlike the perturbation method, the HAM does not requ...
In this article, the so-called "Nyström method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion ...
Consider a system of particles performing branching Brownian motion with negative drift μ = √2 − " and killed upon hitting zero. Initially there is one particle at x > 0. Kesten [12] showed th...
It is well known that standard one-dimensional Brownian motion B(t) has no isolated zeros almost surely. We show that for any < 1/2 there are -H¨older continuous functions f(t) for which the proces...
We solve analytically the Schr¨odinger equation for the N-dimensional inverse square potential in quantum mechanics with a minimal length in terms of Heun’s functions. We apply our results to the pr...

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