>Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo

30 more wordsWe examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, Γ1=Γ2=Γ3=1, and Γ4 is a real parameter.

>Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo

30 more wordsWe examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, Γ1=Γ2=Γ3=1, and Γ4 is a real parameter.

Martin Fraas

34 more wordsWe derive an adiabatic theory for a stochastic differential equation, εdX(s)=L1(s)X(s)ds+ε√L2(s)X(s)dBs, under a condition that instantaneous stationary states of L1(s) are also stationary states of L2(s).

A. V. Latyshev, A. D. Kurilov

83 more wordsWe consider two classes of linear kinetic equations: with constant collision frequency and constant mean free path of gas molecules (i.e., frequency of molecular collisions, proportional to the modulus molecular velocity).

Very early in my study of physics, Weyl became one of my gods. I use the word “god” rather than, say, “outstanding teacher” for the ways of gods are mysterious, inscrutable, and beyond the comprehension of ordinary mortals. 149 more words

http://arxiv.org/abs/1407.5391

Radial fall has historically played a momentous role. It is one of the most classical problems, the solutions of which represent the level of understanding of gravitation in a given epoch. 260 more words

http://arxiv.org/abs/1407.4775

Random noise arises in many physical problems in which the observer is not tracking the full system. A case in point is inflationary cosmology, the current paradigm for describing the very early universe, where one is often interested only in the time-dependence of a subsystem. 146 more words

http://arxiv.org/abs/1407.3101

Precanonical quantization is based on the mathematical structures of the De Donder-Weyl Hamiltonization of field theories. The resulting formulation of quantum gravity describes the quantum geometry of space-time in terms of operator-valued distances and the transition amplitudes between the values of spin connection at different points of space-time, which obey the covariant precanonical analogue of the Schr\”odinger equation. 42 more words