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Aug 17, 2013
Soft Condensed Matter

Effective electrostatic interactions in mixtures of charged colloids

We present a theory of effective electrostatic interactions in polydisperse suspensions of charged macroions, generalizing to mixtures a theory previ…
Oct 27, 2017
Materials Science

Polaron formation, native defects, and electronic conduction in metal…

Iron tungstate (FeWO$_4$) and manganese tungstate (MnWO$_4$) belong to a family of wolframite-type materials that has applications in various areas, …
Dec 16, 2014
Materials Science

Defect chemistry in layered transition-metal oxides from screened hyb…

We report a comprehensive first-principles study of the thermodynamics and transport of intrinsic point defects in layered oxide cathode materials Li…
Oct 12, 2015
Combinatorics

On flow polytopes, order polytopes, and certain faces of the alternat…

In this paper we study an alternating sign matrix analogue of the Chan-Robbins-Yuen polytope, which we call the ASM-CRY polytope. We show that this p…
Jan 01, 2016
Soft Condensed Matter

Influence of Polymer Shape on Depletion Potentials and Crowding in …

Depletion-induced interactions between colloids in colloid-polymer mixtures depend in range and strength on size, shape, and concentration of depleta…
Jul 30, 2014
Group Theory

$\mathop{\rm PL}_+(I)$ is not a Polish group

The group $\mathop{\rm PL}_+(I)$ of increasing piecewise linear self-homeomorphisms of the interval $I=[0,1]$ may not be assigned a topology in such …
Dec 14, 2017
Soft Condensed Matter
Materials Science
Statistical Mechanics

Effective Electrostatic Interactions in Colloid-Nanoparticle Mixtures

Interparticle interactions and bulk properties of colloidal suspensions can be substantially modified by addition of nanoparticles. Extreme asymmetri…
Oct 05, 2016
Soft Condensed Matter

Counterion-Induced Swelling of Ionic Microgels

Ionic microgel particles, when dispersed in a solvent, swell to equilibrium sizes that are governed by a balance between electrostatic and elastic fo…
Jun 20, 2014
Number Theory
Classical Analysis and ODEs

Hilbert spaces and the pair correlation of zeros of the Riemann zet…

Montgomery's pair correlation conjecture predicts the asymptotic behavior of the function $N(T,\beta)$ defined to be the number of pairs $\gamma$ and…
Jan 30, 2017
Distributed
Parallel
and Cluster Computing

IFCIoT: Integrated Fog Cloud IoT Architectural Paradigm for Future …

We propose a novel integrated fog cloud IoT (IFCIoT) architectural paradigm that promises increased performance, energy efficiency, reduced latency, …
Nov 29, 2019
Statistical Finance
Mathematical Finance
Machine Learning

Refinements of Barndorff-Nielsen and Shephard model: an analysis of …

A commonly used stochastic model for derivative and commodity market analysis is the Barndorff-Nielsen and Shephard (BN-S) model. Though this model i…
Apr 19, 2020
Methodology
Mathematical Finance
Machine Learning

Sequential hypothesis testing in machine learning driven crude oil ju…

In this paper we present a sequential hypothesis test for the detection of general jump size distrubution. Infinitesimal generators for the correspon…
Jan 12, 2021
Statistics Theory
Machine Learning

In this section, we prove the main results of this paper.

Sharp detection boundaries on testing dense subhypergraph

We study the problem of testing the existence of a dense subhypergraph. The null hypothesis is an Erdos-Renyi uniform random hypergraph and the alter…
Dec 15, 2014
Materials Science

Defect physics, delithiation mechanism, and electronic and ionic co…

Layered LiMnO$_2$ and Li$_2$MnO$_3$ are of great interest for lithium-ion battery cathodes because of their high theoretical capacities. The practica…
Jan 01, 2016
Soft Condensed Matter

Depletion-Induced Forces and Crowding in Polymer-Nanoparticle Mixture…

Depletion forces and macromolecular crowding govern the structure and function of biopolymers in biological cells and the properties of polymer nanoc…
Oct 26, 2017
Materials Science

First-principles theory of doping in layered oxide electrode materials

Doping lithium-ion battery electrode materials LiMO$_2$ (M = Co, Ni, Mn) with impurities has been shown to be an effective way to optimize their elec…
May 22, 2013
Mathematical Physics

On the Study of Hyperbolic Triangles and Circles by Hyperbolic Bary…

Barycentric coordinates are commonly used in Euclidean geometry. Following the adaptation of barycentric coordinates for use in hyperbolic geometry i…
Aug 19, 2015
Group Theory
Dynamical Systems
Geometric Topology

Existence and genericity of finite topological generating sets for …

We show that the topological groups $Diff_{+}^{1}(I)$ and $Diff_{+}^{1}(\mathbb{S}^1)$ of orientation-preserving $C^1$-diffeomorphisms of the interva…
Apr 05, 2015
Geometric Topology

Virtual singular braids and links

Virtual singular braids are generalizations of singular braids and virtual braids. We define the virtual singular braid monoid via generators and rel…
May 29, 2018
Combinatorics

Sign matrix polytopes from Young tableaux

Motivated by the study of polytopes formed as the convex hull of permutation matrices and alternating sign matrices, we define several new families o…
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