Dynamic relaxation of the XY model and fully frustrated XY model quenched from an initial ordered state to the critical temperature or below is investigated with Monte Carlo methods. Universal power law scaling behaviour is observed. The dynamic critical exponent z and the static exponent η are extracted from the time-dependent Binder cumulant and magnetization. The results are competitive to t...

In this paper, we study several weighted norm inequalities for the Opdam–Cherednik transform. We establish different versions of Heisenberg–Pauli–Weyl inequality particular, give an extension using weights with exponents and present a variation that incorporates [Formula: see text]-norms Also, prove version Hardy–Littlewood Finally, other variations such as Nash-type Clarkson-type