We start this section by proving that the finite dimensional energy functional FN,m–– given by (6) has a minimizer. We define

We consider a variant of Gamow's liquid drop model, with a general repulsive Riesz kernel and a long-range attractive background potential with weigh…

In the Appendix we include the complete proofs of Lemma 4 and Lemma 10.

This work aims to extend the existing results on the Hausdorff dimension of the classical thick point sets of a Gaussian free field (GFF) to a more g…

This paper provides comprehensive coding and outer bound for the half-duplex multiple access channel with generalized feedback (MAC-GF). Two users co…

Let $M_n$ be a simple triangulation of the sphere $S^2$, drawn uniformly at random from all such triangulations with n vertices. Endow $M_n$ with the…

Artificial neural networks have gone through a recent rise in popularity, achieving state-of-the-art results in various fields, including image class…

We introduce and characterize a flexure-tuned optomechanical system in which a membrane is positioned microns from one end mirror of a Fabry-Perot op…

The elliptic Monge-Amp\`ere equation is a fully nonlinear partial differential equation which has been the focus of increasing attention from the sci…

This paper proposes a "quasi-synchronous" design approach for signal processing circuits, in which timing violations are permitted, but without the n…

Two-dimensional simulations of the coarsening process of the isotropic/smectic-A phase transition are presented using a high-order Landau-de Gennes t…

Physical models of biological systems can become difficult to interpret when they have a large number of parameters. But the models themselves actual…

Traditionally, there are three species of classification: unsupervised, supervised, and semi-supervised. Supervised and semi-supervised classificatio…

The propagation of detonation waves in reactive media bounded by an inert, compressible layer is examined via computational simulations in two differ…

The fundamental limits of remote estimation of Markov processes under communication constraints are presented. The remote estimation system consists …

Hydrodynamical analysis of experimental data of ultrarelativistic heavy ion collisions seems to indicate that the hot QCD matter created in the colli…

Here we briefly discuss universality of the scaling limit of the MST and related open problems.

The global structure of the minimal spanning tree (MST) is expected to be universal for a large class of underlying random discrete structures. But v…

Computational drug discovery strategies can be broadly placed in two categories: ligand-based methods which identify novel molecules by similarity wi…

Bennett and Schumacher's postselected quantum teleportation is a model of closed timelike curves (CTCs) that leads to results physically different fr…

In force sensing, optomechanics, and quantum motion experiments, it is typically advantageous to create lightweight, compliant mechanical elements wi…

In this paper, we proposed a series of composite MH kernels for SMCMC methods. These kernels are constructed based on invertible particle flow to achieve efficient exploration of high-dimensional state spaces. The EDH-based SMCMC method provides min…

Sequential state estimation in non-linear and non-Gaussian state spaces has a wide range of applications in statistics and signal processing. One of …

The fiber g-ratio is the ratio of the inner to the outer diameter of the myelin sheath of a myelinated axon. It has a limited dynamic range in health…

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