We consider the multidimensional generalised stochastic Burgers equation in the space-periodic setting: $ \partial \mathbf{u}/\partial t+$ $(\nabla…

This paper presents two algorithms for calculating an ensemble of solutions to laminar natural convection problems. The ensemble average is the most …

Motivated by the broadcast view of the interference channel, the new problem of communication with disturbance constraints is formulated. The rate-di…

In recent years, data has played an increasingly important role in the economy as a good in its own right. In many settings, data aggregators cannot …

Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear const…

We develop a theoretical framework to investigate the two-body composite structure of a resonance as well as a bound state from its wave function. Fo…

We consider fundamental limits on the detectable size of macroscopic quantum superpositions. We argue that a full quantum mechanical treatment of sys…

It is a well established result of linear theory that the influence of differing mechanical boundary conditions, i.e., stress-free or no-slip, on the…

The general relativistic effect in the anomalous magnetic moment of muons moving in the Earth’s gravitational field has been examined. The effective value of the muon magnetic moment is given as μeffm≃(1+3ϕ/c2)μm based on the Dirac equation generali…

The general relativistic effects to the anomalous magnetic moment of muons moving in the Earth's gravitational field have been examined. The Dirac eq…

Multivariate problems are typically governed by anisotropic features such as edges in images. A common bracket of most of the various directional rep…

In this chapter we will introduce an effective equation of state (EoS) model based on polytropes that serves to study the so called "mass twins" scen…

The problem of finding sparse solutions to underdetermined systems of linear equations arises in several applications (e.g. signal and image processi…

The transition mechanism of jump processes between two different subsets in state space reveals important dynamical information of the processes and …

The stable principal component pursuit (SPCP) problem is a non-smooth convex optimization problem, the solution of which has been shown both in theor…

For many natural and engineered systems, a central function or design goal is the synchronization of one or more rhythmic or oscillating processes to…

In 1-bit compressive sensing (1-bit CS) where target signal is coded into a binary measurement, one goal is to recover the signal from noisy and quan…

We initiate the study of efficient mechanism design with guaranteed good properties even when players participate in multiple different mechanisms si…

This paper presents the full dynamics and control of arbitrary number of quadrotor unmanned aerial vehicles (UAV) transporting a rigid body. The rigi…

Phase-field model is a powerful mathematical tool to study the dynamics of interface and morphology changes in fluid mechanics and material sciences.…

This work develops a formal framework for specifying, implementing, and analysing quantum communication protocols. We provide tools for developing si…

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