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11 papers · 1 filter
Variational Approach to Hard Sphere Segregation Under Gravity
Joseph A. Both, Daniel C. Hong
It is demonstrated that the minimization of the free energy functional for hard spheres and hard disks yields the result that excited granular materials under gravity segregate not…
Intercellular Communication Via Intracellular Calcium Oscillations
M. E. Gracheva, J. D. Gunton
In this letter we present the results of a simple model for intercellular communication via calcium oscillations, motivated in part by a recent experimental study. The model descri…
Expected number of distinct part sizes in a random integer composition
Pawel Hitczenko, Gilbert Stengle
The asymptotics, as , for the expected number of distinct part sizes in a random composition of an integer n is obtained.
Stability properties for a compactly supported prescale function
V. Dobric, R. F. Gundy, P. Hitczenko
We show that if is a continuous, minimally supported prescale function, then its translates are linearly independent on any set of positive measure in the unit interval. This g…
Characterizations of orthonormal scale functions: a probabilistic approach
V. Dobric, R. F. Gundy, P. Hitczenko
The construction of a multiresolution analysis starts with specification of a scale function. The Fourier transform of this function is defined by an infinite product. The converge…
Phase diagram of the relaxor ferroelectric (1-x)PbZn(1/3)Nb(2/3)O3-xPbTiO3
D. La-Orauttapong, B. Noheda, Z. -G. Ye +4
Recently, a new orthorhombic phase has been discovered in the ferroelectric system Pb(Zn1/3Nb2/3)O3-xPbTiO3 (PZN-xPT) for x= 9%, and for x= 8% after the application of an electric…