Propagation through metamaterial temporal slabs: transmission,
reflection and special cases
November 8, 2019
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Physics
Classical Physics
Optics
Classical Physics
Optics
Time-varying metamaterials are artificial materials whose electromagnetic
properties change over time. Similar to a spatial medium discontinuity, a
sudden change in time of the metamaterial refractive index induces the
generation of a refle...
On loop Deligne--Lusztig varieties of Coxeter-type for inner forms of
GLn
November 8, 2019
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Mathematics
Algebraic Geometry
Number Theory
Representation Theory
Algebraic Geometry
Number Theory
Representation Theory
For a reductive group G over a local non-archimedean field K one can
mimic the construction from the classical Deligne--Lusztig theory by using the
loop space functor. We study this construction in special the case that G is
an inner ...
Displacement energy of Lagrangian 3-spheres
November 8, 2019
Mathematics
Symplectic Geometry
We estimate the displacement energy of Lagrangian 3-spheres in a symplectic
6-manifold X, by estimating the displacement energy of a one-parameter family
Lλ of Lagrangian tori near the sphere. The proof establishes a new
versio...
Intersubjectivity and value reproducibility of outcomes of quantum
measurements
November 8, 2019
Physics
General Physics
Quantum Physics
Every measurement determines a single value as its outcome, and yet quantum
mechanics predicts it only probabilistically. The Kochen-Specker theorem and
Bell's inequality are often considered to reject a realist view but favor a
skeptical v...
Controlled objects in left-exact ∞-categories and the Novikov
conjecture
November 6, 2019
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Mathematics
K-Theory and Homology
Algebraic Topology
Metric Geometry
We associate to every G-bornological coarse space X and every left-exact
∞-category with G-action a left-exact infinity-category of equivariant
X-controlled objects. Postcomposing with algebraic K-theory leads to {new}
equiva...
Reinterpreting the Middle-Levels Theorem via Natural Enumeration of
Ordered Trees
November 5, 2019
Mathematics
Combinatorics
Let 0<k∈Z. A reinterpretation of the proof of existence of
Hamilton cycles in the middle-levels graph Mk induced by the vertices of the
(2k+1)-cube representing the k- and (k+1)-subsets of {0,…,2k} is
given vi...
Intriguing Properties of Adversarial ML Attacks in the Problem Space
[Extended Version]
November 5, 2019
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Computer Science
Cryptography and Security
Machine Learning
Recent research efforts on adversarial machine learning (ML) have
investigated problem-space attacks, focusing on the generation of real evasive
objects in domains where, unlike images, there is no clear inverse mapping to
the feature space...
Strichartz estimates and low-regularity solutions to multiplicative
stochastic NLS
November 5, 2019
Mathematics
Analysis of PDEs
Probability
We study Strichartz estimates with very rough potentials, the spatial white
noise on the 2 dimensional torus being of particular interest. Applications
include solving the multiplicative stochastic NLS with general integer powers
in a low-r...
Sarnak's conjecture in quantum computing, cyclotomic unitary group
coranks, and Shimura curves
November 5, 2019
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Mathematics
Number Theory
Group Theory
Sarnak's conjecture in quantum computing concerns when the groups
PU2 and PSU2 over cyclotomic rings
Z[ζn,1/2] with ζn=e2πi/n, 4∣n, are generated by
the Clifford-cyclotomic...
Controllability and Vector Potential
November 4, 2019
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Mathematics
Computer Science
Electrical Engineering and Systems Science
Optimization and Control
Systems and Control
Systems and Control
Optimization and Control
Systems and Control
Systems and Control
Kalman's fundamental notion of a controllable state space system \cite{k} has
been generalised to higher order systems by Willems \cite{w}, and further to
distributed systems defined by partial differential equations \cite{ps}. It
turns out...