Anomalous Hall effect and quantum criticality in geometrically
frustrated heavy fermion metals
July 27, 2015
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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
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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...
On the conformal volume of 2-tori
July 6, 2015
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Mathematics
Differential Geometry
Differential Geometry
This note (originally from 2015) provides a proof of a 1985 conjecture of
Montiel and Ros concerning the conformal volume of tori. This updated version
adds a proof of the claim made in Remark 5 about the value of the conformal
volume of to...
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
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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 ...
Lie Transformation Groups -- An Introduction to Symmetry Group Analysis
of Differential Equations
June 23, 2015
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Mathematics
Differential Geometry
Differential Geometry
These are lecture notes of a course on symmetry group analysis of
differential equations, based mainly on P. J. Olver's book 'Applications of Lie
Groups to Differential Equations'. The course starts out with an introduction
to the theory of...
Recovering p-adic valuations from pro-p Galois groups
June 19, 2015
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Mathematics
Number Theory
Let K be a field with GK(2)≃GQ(2), where GF(2)
denotes the maximal pro-2 quotient of the absolute Galois group of a field F.
We prove that then K admits a (non-trivial) valuation v which is
2-henselian and h...
An introduction to Galton-Watson trees and their local limits
June 18, 2015
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Mathematics
Probability
The aim of this lecture is to give an overview of old and new resultson
Bienaym\'e-Galton-Watson (BGW) trees. After introducing the framework of
discretetrees, we first give alternative proofs of classical results on
theextinction probabili...