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Rigorous bounds on heat transport in rapidly-rotating Rayleigh Benard convectionTwo approaches to rigorously estimating the heat transport in rapidly-rotating Rayleigh Benard convection are presented. The first uses the 'background method' of

The behavior of differentials with real periods under degeneration of the Riemann surfaceGiven a Riemann surface with marked points and prescribed singular parts at those points, there exists a unique differential with such singularities and real

Synaptic mechanisms of interference in working memoryInformation from preceding trials of cognitive tasks can bias performance in the current trial, a phenomenon referred to as interference. Subjects performing visual working memory tasks

Decisions depend on the reward at stake and the effort required.  However, these same variables influence the vigor of the ensuing movement, suggesting that factors that affect evaluation of action also influence performance of the selected

Quantifying Resilience in One-Dimensional Dynamical SystemsIn common discourse, resilience is often taken to be the ability of a system to undergo disturbance(s) while retaining useful characteristics. A mathematically precise definition of

2D hydrodynamics of ideal fluid with free surface is considered. A time-dependent conformal transformation is used which maps a free fluid surface into the real line with fluid domain mapped into the lower complex half-plane. The fluid dynamics is

With the growing scale and complexity of datasets in scientific disciplines, traditional data analysis methods are no longer practical to extract meaningful information and patterns. The need to process large-scale datasets by memory and computation

Waveform Design for Radar Detection and Imaging This talk addresses 3 related questions:1) What is the best space-time waveform to transmit for detecting the presence of a weakly scattering object in free space?2) What is the best waveform to use to

Nick Ercolani, Department of Mathematics, University of ArizonaPatterns, Defects and Phase SingularitiesThe topic of this talk concerns understanding defect formation in spatially extended pattern-forming systems (such as Rayleigh-Benard Convection

Beyond sparsity: compressed sensing with deep generative priors Over the last several decades, sparsity and compressed sensing has been a dominant theme in signal recovery, leading to significant improvements in MRI imaging and new algorithms in a