Wei-Shih Yang

Spanning trees on the Sierpinski gasket

We present the numbers of spanning trees on the Sierpinski gasket SGd(n) at stage n with dimension d equal to two, three and four. The general expression for the number of spanning trees on SGd(n) with arbitrary d is conjectured. The numbers of spanning trees on the generalized Sierpinski gasket SGd,b(n) with d = 2 and b = 3,4 are also obtained.

Gaussian limit for critical oriented percolation in high dimensions

AbstractIn this paper, we consider the spread-out oriented bond percolation models inZd×Z withd>4 and the nearest-neighbor oriented bond percolation model in sufficiently high dimensions. Let ηn,n=1, 2, ..., be the random measures defined onRd by

Cloud-Based Multicasting with Feedback in Mobile Social Networks

\eta _n (A) = \sum\limits_{x \in Z^d } {1_A (x/\sqrt n )1_{\{ (0,0) \to (x,n)\} } }

A Characterization of First-Order Phase Transitions for Superstable Interactions in Classical Statistical Mechanics

The mean of ηn, denoted by

Absence of first-order phase transitions for antiferromagnetic systems

\bar \eta _n

A note on the critical dimension for weakly self-avoiding walks

, is the measure defined by