Space–Time Duality for Fractional Diffusion

Space-time duality for fractional diffusion

Zolotarev proved a duality result that relates stable densities with different indices. In this paper, we show how Zolotarev duality leads to some interesting results on fractional diffusion. Fractional diffusion equations employ fractional derivatives in place of the usual integer order derivatives. They govern scaling limits of random walk models, with power law jumps leading to fractional de...

Duality, Spacetime and Quantum Mechanics

QUANTUM MECHANICS T purpose of this article is to describe some themes in theoretical physics that developed independently for many years, in some cases for decades, and then converged rather suddenly beginning around 1994—95. The convergence produced an upheaval sometimes called "the second superstring revolution." It is as significant in its own way as "the first superstring revolution," the ...

Spacetime Duality of BTZ Black Hole

We consider the duality of the quasilocal black hole thermodynamics, explicitly the quasilocal black hole thermodynamic first law, in BTZ black hole solution as a special one of the three-dimensional low energy effective string theory. E-mail address : [email protected] E-mail address : [email protected] E-mail address : [email protected] 1

Duality and Sensitivity Analysis for Fractional Programs

Second order duality for minmax fractional programming

In the present paper, two types of second order dual models are formulated for a minmax fractional programming problem. The concept of η-bonvexity/ generalized η-bonvexity is adopted in order to discuss weak, strong and strict converse duality theorems.