We consider the random evolution described by motion of a particle moving on circle alternating angular velocities ±c and changing rotation at Poisson times, resulting in telegraph process over circle. study analytic properties semigroup it generates as well its probability distribution. The asymptotic behavior wrapped is also discussed terms circular Brownian motion. Besides, possible to deriv...

understanding future evolutions is a necessity for governance in this developing world. in military affairs, deterrence, elaborated in this part, is a way of countering probable future conflicts.

RefactoringAdapter AbstractRefactoringPostProcessor IRefactoringPostProcessor AbstractEvolutionAdapterEvolutionAdapter AbstractSolutionSpaceEvolution AbstractProblemSpaceEvolution AbstractEvolution <>SolutionSpaceEvolution AbstractProblemSpaceEvolution AbstractEvolution <> Using these classes, evolutions are implemented in the Java programming language. However, evolutions in ...

This is the first in a series of papers on the construction and validation of a threedimensional code for general relativistic hydrodynamics, and its application to general relativistic astrophysics. This paper studies the consistency and convergence of our general relativistic hydrodynamic treatment and its coupling to the spacetime evolutions described by the full set of Einstein equations wi...