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We study the semilinear wave equation ∂t2ψ−Δψ=∣ψ∣p−1ψ for p>3 with radial data in three spatial dimensions. There exists an explicit solution which blows up at t=T>0 given by $\displaystyl ...
Three related articles reported that racial bias altered perceptual experience and influenced decision-making. These findings have been applied to training programs for law enforcement, and elsewhere, to mitigate racial bias. However, a statistical analysi ...
We consider right angle crossing (RAC) drawings of graphs in which the edges are represented by polygonal arcs and any two edges can cross only at a right angle. We show that if a graph with n vertices admits a RAC drawing with at most 1 bend or 2 bends pe ...
The group testing problem consists of determining a sparse subset of a set of items that are ``defective'' based on a set of possibly noisy tests, and arises in areas such as medical testing, fault detection, communication protocols, pattern matching, and ...
In this paper, we study the information-theoretic limits of community detection in the symmetric two-community stochastic block model, with intra-community and inter-community edge probabilities na and nb respectively. We consider the ...
We show that smooth, radially symmetric wave maps U from R2+1 to a compact target manifold N, where ∂rU and ∂tU have compact support for any fixed time, scatter. The result will follow from the work of Christodoulou ...
We come to understand other people's physical and mental states by re-mapping their bodily states onto our sensorimotor system. This process, also called somatosensory resonance, is an essential ability for social cognition and is stronger when observing i ...
In this paper we demonstrate distributed Raman temperature sensing (RDTS) in a loop scheme employing anti-Stokes light intensity only. Using a single-channel receiver and anti-Stokes traces measured in loop configuration, we implement RDTS with inherent co ...
We consider the Gaussian N-relay diamond network, where a source wants to communicate to a destination through a layer of N-relay nodes. We investigate the following question: What fraction of the capacity can we maintain by using only k out of the $ ...
The design of wearable systems comes with constraints in computational and power resources. We describe the development of customized hardware for the wearable discrimination of human sleep and wake based on cardio-respiratory signals. The device was desig ...
