We show that attempts to modify the force on a magnetic dipole by introducing
either hidden momentum or internal forces are not correct. The standard
textbook result {\bf F=\nabla(\bmu\cdot B)} is correct even in the presence
of time depe...
The Divergence Index: A Decomposable Measure of Segregation and
Inequality
August 5, 2015
Physics
Mathematics
Computer Science
Statistics
Physics and Society
Information Theory
Information Theory
Methodology
Decomposition analysis is a critical tool for understanding the social and
spatial dimensions of segregation and diversity. In this paper, I highlight the
conceptual, mathematical, and empirical distinctions between segregation and
diversit...
The Neumann Problem for Hessian Equations
August 2, 2015
|
Mathematics
Analysis of PDEs
Differential Geometry
In this paper, we prove the existence of a classical solution to a Neumann
boundary problem for Hessian equations in uniformly convex domain. The methods
depend upon the established of a priori derivative estimates up to second
order. So we...
Multiple Outlier Detection in Samples with Exponential & Pareto Tails:
Redeeming the Inward Approach & Detecting Dragon Kings
July 30, 2015
|
Statistics
Methodology
We introduce two ratio-based robust test statistics, max-robust-sum (MRS) and
sum-robust-sum (SRS), designed to enhance the robustness of outlier detection
in samples with exponential or Pareto tails. We also reintroduce the inward
sequenti...
Anomalous Hall effect and quantum criticality in geometrically
frustrated heavy fermion metals
July 27, 2015
| | |
Physics
Strongly Correlated Electrons
Studies on the heavy-fermion pyrochlore iridate (Pr2Ir2O7) point to
the role of time-reversal-symmetry breaking in geometrically frustrated Kondo
lattices. With this motivation, here we study the effect of Kondo coupling and
chiral...
Pareto Smoothed Importance Sampling
July 9, 2015
| | | |
Statistics
Computation
Methodology
Machine Learning
Importance weighting is a general way to adjust Monte Carlo integration to
account for draws from the wrong distribution, but the resulting estimate can
be highly variable when the importance ratios have a heavy right tail. This
routinely o...
ARI, GARI, Zig and Zag: An introduction to Ecalle's theory of multiple
zeta values
July 6, 2015
|
Mathematics
Number Theory
Number Theory
This text has two goals. The first is to give an introduction to Ecalle's
work on mould theory, multiple zeta values and double shuffle theory and relate
this work explicitly to the classical theory of multiple zeta values and double
shuffl...
Autonomic Cloud Computing: Research Perspective
July 6, 2015
Computer Science
Distributed, Parallel, and Cluster Computing
As the cloud infrastructure grows, it becomes more challenging to manage
resources in such a massive, diverse, and distributed setting, despite the fact
that cloud computing provides computational capabilities on-demand. Due to
resource var...
Proof of Union-Closed Sets Conjecture
July 5, 2015
|
Mathematics
Combinatorics
We prove Union-Closed sets conjecture....
Elliptic multiple zeta values, Grothendieck-Teichm\"uller and mould
theory
June 30, 2015
Mathematics
Number Theory
In this article we define an elliptic double shuffle Lie algebra dsell
that generalizes the well-known double shuffle Lie algebra ds to the elliptic
situation. The double shuffle, or dimorphic, relations satisfied by elements of
the ...