It is shown that the superposed wave function of a measuring device, in each branch of which there is a definite measurement result, does not correspond to many worlds as assumed by the many-worlds interpretation, because all branches of the superposed wave function can be observed in our world by protective measurement. According to the many-worlds interpretation of quantum mechanics, each bra...

Video streaming is becoming more mainstream as the availability of Internet and bandwidth is increasing. At the same time, the surge in computational power in laptops and stationary computers for home use has caused persistent 3D online worlds to gain momentum, and these worlds are now big contenders in the entertainment industry. Recently, we have also seen the start of a synergy of online vir...

Brane-world models, which have received a lot of attention during the last few years, are essentially characterized by two basic ideas: • they assume the existence of spatial extra dimensions, in addition to our four space-time dimensions. The higher dimensional spacetime is usually called the “bulk” spacetime; • our accessible Universe is assumed to be a submanifold, called “brane”, embedded i...

In this paper, for solving the finite-dimensional variational inequality problem ðx x ÞFðx ÞP0; 8x 2 X; where F is a C ðr > 1Þ mapping from X to R, X 1⁄4 fx 2 R : gðxÞO0g is nonempty (not necessarily bounded) and gðxÞ :R ! R is a convex Crþ1 mapping, a homotopy method is presented. Under various conditions, existence and convergence of a smooth homotopy path from almost any interior initial poi...

We give a simple proof of existence of solutions of the dispersion management and diffraction management equations for zero average dispersion, respectively diffraction. These solutions are found as maximizers of non-linear and non-local variational problems which are invariant under a large non-compact group. Our proof of existence of maximizer is rather direct and avoids the use of Lions’ con...

Treating games of incomplete information with countable sets of actions and types and finite but large player sets we demonstrate that for every mixed strategy profile there is a pure strategy profile that is ‘εequivalent’. Our framework introduces and exploits a distinction between crowding attributes of players (their external effects on others) and their taste attributes (their payoff functi...

We give an elementary proof of existence and uniqueness of Gibbs states for Hölder weight systems on subshifts of finite type. This uses a notion of duality for such subshifts. The approach of Paterson [2] is used to construct a measure with a prescribed Jacobian and the duality is used to produce an invariant measure from this

By variational methods, we provide a simple proof of existence of a heteroclinic orbit to the Hamiltonian system u�� = ∇W (u) that connects the two global minima of a double-well potential W . Moreover, we consider several inhomogeneous extensions.

This paper is concerned with the transient dynamics described by the solutions of the reaction-diffusion equations in which the reaction term consists of a combination of a superlinear power-law absorption and a time-independent point source. In one space dimension, solutions of these problems with zero initial data are known to approach the stationary solution in an asymptotically self-similar...