400,901 research outputs found
G-algebras, twistings, and equivalences of graded categories
Given Z-graded rings A and B, we study when the categories gr-A and gr-B are
equivalent. We relate the Morita-type results of Ahn-Marki and del Rio to the
twisting systems introduced by Zhang. Using Z-algebras, we obtain a simple
proof of Zhang's main result. This makes the definition of a Zhang twist
extremely natural and extends Zhang's results.Comment: 13 pages; typos corrected and revised slightly; to appear in Algebras
and Representation Theor
A Note on Positive Energy Theorem for Spaces with Asymptotic SUSY Compactification
We extend the positive mass theorem proved previously by the author to the
Lorentzian setting. This includes the original higher dimensional positive
energy theorem whose spinor proof was given by Witten in dimension four and by
Xiao Zhang in dimension five
Anomalous scaling in the Zhang model
We apply the moment analysis technique to analyze large scale simulations of
the Zhang sandpile model. We find that this model shows different scaling
behavior depending on the update mechanism used. With the standard parallel
updating, the Zhang model violates the finite-size scaling hypothesis, and it
also appears to be incompatible with the more general multifractal scaling
form. This makes impossible its affiliation to any one of the known
universality classes of sandpile models. With sequential updating, it shows
scaling for the size and area distribution. The introduction of stochasticity
into the toppling rules of the parallel Zhang model leads to a scaling behavior
compatible with the Manna universality class.Comment: 4 pages. EPJ B (in press
Riemann-Liouville Fractional Cosine Functions
In this paper, a new notion, named Riemann-Liouville fractional cosine
function is presented. It is proved that a Riemann-Liouville -order
fractional cosine function is equivalent to Riemann-Liouville -order
fractional resolvents introduced in [Z.D. Mei, J.G. Peng, Y. Zhang, Math.
Nachr. 288, No. 7, 784-797 (2015)]
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