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185 papers · 1 filter
Interference Mitigation Through Limited Receiver Cooperation
I-Hsiang Wang, David N. C. Tse
Interference is a major issue limiting the performance in wireless networks. Cooperation among receivers can help mitigate interference by forming distributed MIMO systems. The rat…
An infinity Laplace equation with gradient term and mixed boundary conditions
Scott N. Armstrong, Charles K. Smart, Stephanie J. Somersille
We obtain existence, uniqueness, and stability results for the modified 1-homogeneous infinity Laplace equation \[ -Δ_\infty u - β|Du| = f, \] subject to Dirichlet or mixed Dirichl…
Improved Approximation of Linear Threshold Functions
Ilias Diakonikolas, Rocco A. Servedio
We prove two main results on how arbitrary linear threshold functions $f(x) = \sign(w\cdot x - θ)$ over the -dimensional Boolean hypercube can be approximated by simple threshol…
A Conversation with Murray Rosenblatt
David R. Brillinger, Richard A. Davis
On an exquisite March day in 2006, David Brillinger and Richard Davis sat down with Murray and Ady Rosenblatt at their home in La Jolla, California for an enjoyable day of reminisc…
Notes from the Greenhouse World: A Study in Coevolution, Planetary Sustainability, and Community Structure
Lee Worden
This paper explores coevolution and governance of common goods using models of coevolving biospheres, in which adapting populations must collectively regulate their planet's climat…
On the Diophantine Equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h
Roger Tian
This paper is a continuation of [1], in which I studied Harvey Friedman's problem of whether the function f(x,y) = x^2 + y^3 satisfies any identities; however, no knowledge of [1]…