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Jul 19, 2012
Analysis of PDEs
Mathematical Physics
Number Theory
Chaotic Dynamics

Let T3=R3/2πL0 be a flat three-dimensional torus, where

Eigenfunction statistics for a point scatterer on a three-dimensional…

In this paper we study eigenfunction statistics for a point scatterer (the Laplacian perturbed by a delta-potential) on a three-dimensional flat toru…
Aug 29, 2018
By levbuh
Symplectic Geometry
Dynamical Systems

This section is dedicated to the proofs of Theorems 1.3.1, 1.3.2, 1.3.2, and 1.3.3.

The action spectrum and C^0 symplectic topology

Our first main result states that the spectral norm on the group of Hamiltonian diffeomorphisms, introduced in the works of Viterbo, Schwarz and Oh, …
Feb 17, 2008
By itayhe

Spontaneous Breaking of Rotational Symmetry in Rotating Solitons - a …

We study the phenomenon of spontaneous breaking of rotational symmetry (SBRS) in the rotating solutions of two types of baby Skyrme models. In the fi…
Jun 06, 2008
By zzur
Commutative Algebra

Having the basic concepts of polynomials under our belt, we are ready to apply them to tropical geometry. For convenience, we treat affine geometry; the analogous discussion using homogeneous polynomials would yield the parallel results for projecti…

Supertropical algebra

We develop the algebraic polynomial theory for "supertropical algebra," as initiated earlier over the real numbers by the first author. The main inno…
Jun 18, 2008
By tomm
Dynamical Systems

Glasner and Weiss [glasner_weiss95] proved that a probability preserving dynamical system with zero entropy admits no quasi-factors with positive entropy.

Quasi-factors for infinite-measure preserving transformations

This paper is a study of Glasner's definition of quasi-factors in the setting of infinite-measure preserving system. The existence of a system with z…
Oct 15, 2012
Data Structures and Algorithms

We consider a generalization of the joint cache partition and job assignment problem that allows for dynamic cache partitions and dynamic job assignments. We define the generalized problem as follows. As before, J denotes the set of jobs, there are …

Joint Cache Partition and Job Assignment on Multi-Core Processors

Multicore shared cache processors pose a challenge for designers of embedded systems who try to achieve minimal and predictable execution time of wor…
Oct 17, 2011
By zzur
Metric Geometry
Rings and Algebras

In this section we start an explicit study of certain classes of structure sets, equipped with extra properties.

C-independence and c-rank of posets and lattices

Continuing with the authors concept (and results) of defining independence for columns of a boolean and superboolean matrix, we apply this theory to …
Jul 24, 2010
Probability
Optimization and Control
Trading and Market Microstructure

Lowest Unique Bid Auctions

We consider a class of auctions (Lowest Unique Bid Auctions) that have achieved a considerable success on the Internet. Bids are made in cents (of eu…
Apr 22, 2014
By vlasiou
Probability

M/G/$\infty$ polling systems with random visit times

We consider a polling system where a group of an infinite number of servers visits sequentially a set of queues. When visited, each queue is attended…
Jan 22, 2014
Numerical Analysis

Implicit QR for Companion-like Pencils

A fast implicit QR algorithm for eigenvalue computation of low rank corrections of unitary matrices is adjusted to work with matrix pencils arising f…
Dec 11, 2013
By malomed
Pattern Formation and Solitons
Quantum Gases

Lattice solitons with quadrupolar intersite interactions

We study two-dimensional (2D) solitons in the mean-field models of ultracold gases with long-range quadrupole-quadrupole interaction (QQI) between pa…
Jul 23, 2013
By felix
Statistics Theory

Sparse additive regression on a regular lattice

We consider estimation in a sparse additive regression model with the design points on a regular lattice. We establish the minimax convergence rates …
Jul 23, 2018
Machine Learning

Generalization Bounds for Unsupervised Cross-Domain Mapping with WGANs

The recent empirical success of unsupervised cross-domain mapping algorithms, between two domains that share common characteristics, is not well-supp…
Oct 26, 2012
By nitzan
Other Condensed Matter
Chemical Physics

Polaron formation: Ehrenfest dynamics vs. exact results

We use a 1-dimensional tight binding model with an impurity site characterized by electron-vibration coupling, to describe electron transfer and loca…
Nov 12, 2007
Data Structures and Algorithms

Data Structures for Mergeable Trees

Motivated by an application in computational topology, we consider a novel variant of the problem of efficiently maintaining dynamic rooted trees. Th…
Oct 19, 2013
Computational Geometry

The Discrete and Semi-continuous Fréchet Distance with Shortcuts via …

The \emph{Fr\'echet distance} is a well studied similarity measures between curves. The \emph{discrete Fr\'echet distance} is an analogous similarity…
Jul 06, 2011
Optimization and Control
Systems and Control

Conditional Gradient Algorithms for Rank-One Matrix Approximations wi…

The sparsity constrained rank-one matrix approximation problem is a difficult mathematical optimization problem which arises in a wide array of usefu…
Jan 28, 2016
By haimk
Computational Geometry

Spanners for Directed Transmission Graphs

Let $P \subset \mathbb{R}^2$ be a planar $n$-point set such that each point $p \in P$ has an associated radius $r_p > 0$. The transmission graph $G$ …
Apr 19, 2009
Strongly Correlated Electrons
Other Condensed Matter

Asymmetric field dependence of magnetoresistance in magnetic films

We study an asymmetric in field magnetoresistance that is frequently observed in magnetic films and, in particular, the odd longitudinal voltage peak…
Mar 01, 2015

Constraining the Charm Yukawa and Higgs-quark Coupling Universality

We introduce four different types of data-driven analyses with different level of robustness that constrain the size of the Higgs-charm Yukawa coupli…
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