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Disturbances in a Three Dimensional Boundary Layer at Elevated Free Stream Turbulence
The experiments were devoted to the measurements in a three-dimensional boundary layer with negative streamwise pressure gradient at free-stream...
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Dispersion for Schrödinger operators on regular trees
We prove dispersive estimates for two models: the adjacency matrix on a discrete regular tree, and the Schrödinger equation on a metric regular tree...
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Accurate Approximations of Density Functional Theory for Large Systems with Applications to Defects in Crystalline Solids
This chapter presents controlled approximations of Kohn–Sham density functional theory (DFT) that enable very large scale simulations. The work is...
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Growing Spatial Networks
Most networks, including spatial graphs, evolve and grow in time. Understanding the main processes governing this growth and the resulting structure...
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Hydrodynamic Limit for the d-Facilitated Exclusion Process
Consider a periodic one-dimensional exclusion process with the dynamical constraint in which the particle at site x is prevented from jum** to
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A unified pre-training and adaptation framework for combinatorial optimization on graphs
Combinatorial optimization (CO) on graphs is a classic topic that has been extensively studied across many scientific and industrial fields....
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Using the method of conditional expectations to supply an improved starting point for CCLS
This paper proposes to combine the method of conditional expectations (MOCE, also known as Johnson’s Algorithm) with the state-of-the-art heuristic...
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Budget-limited distribution learning in multifidelity problems
Multifidelity methods are widely used for estimating quantities of interest (QoI) in computational science by employing numerical simulations of...
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Rate of Mixing for Equilibrium States in Negative Curvature and Trees
In this survey based on the recent book by the three authors, we recall the Patterson-Sullivan construction of equilibrium states for the geodesic...
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Exponent Estimation for Stable Solutions of a Certain Class of Differential-Difference Equations
For a differential-difference equation with a positive fundamental solution we obtain exponential stability conditions with exact estimates of the...
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Global attractiveness and exponential decay of neutral stochastic functional differential equations driven by fBm with Hurst parameter less than 1/2
We are concerned with a class of neutral stochastic functional differential equations driven by fractional Brownian motion (fBm) in the Hilbert...
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The Edge of Randomness
Up to now I have been trying to capture the elusive notion of chance by looking at binary strings, the most ingenuous image of a succession of...
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On the statistical background of quantum mechanics: generalities and a concrete example
We revisit our description of randomness in quantum processes that began in collaboration of Jean Ginibre. The calculations were performed on a...
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Homogenization for space-time-dependent KPP reaction–diffusion equations and G-equations
We prove stochastic homogenization for reaction–advection–diffusion equations with random space-time-dependent KPP reactions with temporal...
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An informatic approach to a long memory stationary process
Long memory is an important phenomenon that arises sometimes in the analysis of time series or spatial data. Most of the definitions concerning the...
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Deep Learning Based Transition Prediction for Aeronautical Applications
Drag reduction is vital for any new airplane design as the demand for a greener aviation is increasing. Wings and nacelles with laminar flow can...
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Noisy network attractor models for transitions between EEG microstates
The brain is intrinsically organized into large-scale networks that constantly re-organize on multiple timescales, even when the brain is at rest....
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Manifold Learning, the Scheme of Laplacian Eigenmaps
In this chapter, we develop the mathematical details for the basic nonlinear dimension reduction technique of manifold learning. This scheme works by...