Modular Hamiltonians on the null plane and the Markov property of the
vacuum state
March 30, 2017
| |
Physics
High Energy Physics - Theory
We compute the modular Hamiltonians of regions having the future horizon
lying on a null plane. For a CFT this is equivalent to regions with boundary of
arbitrary shape lying on the null cone. These Hamiltonians have a local
expression on t...
Online Simultaneous State and Parameter Estimation for Second-order
Nonlinear Systems
March 21, 2017
|
Electrical Engineering and Systems Science
Computer Science
Systems and Control
Systems and Control
Systems and Control
Systems and Control
In this paper, a concurrent learning based adaptive observer is developed for
a class of second-order nonlinear time-invariant systems with uncertain
dynamics. The developed technique results in simultaneous online state and
parameter estim...
Robust estimation of parameters in logistic regression via solving the
Cramer-von Mises type L2 optimization problem
March 20, 2017
Mathematics
Statistics
Statistics Theory
Statistics Theory
This paper proposes a novel method to estimate parameters in a logistic
regression model. After obtaining the estimators, their asymptotic properties
are rigorously investigated....
A multi-Frey approach to Fermat equations of signature (r,r,p)
March 19, 2017
| | |
Mathematics
Number Theory
In this paper, we give a resolution of the generalized Fermat equations x5+y5=3zn and x13+y13=3zn, for all integers n≥2, and all integers n≥2 which are not a multiple of 7, respectively,
using ...
Hasse-Minkowski theorem for quadratic forms on groups
March 17, 2017
Mathematics
Number Theory
Consider groups such as Mordell-Weil groups of abelian varieties over number
fields, odd algebraic K-theory groups of number fields, or finitely generated
subgroups of the multiplicative groups of number fields. They are all equipped
with...
Decompositions of surface flows
March 16, 2017
|
Mathematics
Dynamical Systems
Dynamical Systems
Flows on surfaces are one of the most fundamental and classical objects in
dynamical systems, and are studied from various areas (e.g. integrable systems,
differential equations, fluid mechanics). Though hyperbolic flows and recurrent
flows...
Yet another introduction to relativistic astrophysics
March 16, 2017
Physics
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Late Winter Lecture Notes, Short Course (10 hours) of Relativistic
Astrophysics held at the Department of Physics and Astronomy of the University
of Padova, March 13-17, 2017. Third version....
Shift Aggregate Extract Networks
March 16, 2017
| |
Computer Science
Statistics
Machine Learning
Machine Learning
We introduce an architecture based on deep hierarchical decompositions to
learn effective representations of large graphs. Our framework extends classic
R-decompositions used in kernel methods, enabling nested part-of-part
relations. Unlike...
An Evolutionary Theory for the Variability Hypothesis
March 12, 2017
Quantitative Biology
Populations and Evolution
An elementary biostatistical theory based on a selectivity-variability
principle is proposed to address a question raised by Charles Darwin, namely,
how one sex of a sexually dimorphic species might tend to evolve with greater
variability t...
On the Origin of Inertia: Implications for Dark Matter and Dark Energy
March 8, 2017
Physics
General Physics
In this paper, we present a new theory explaining the origin of inertia based
on two key ideas: gravity as a spin-1 gauge field theory and the relativity of
all kinds of motion. This theory proposes that inertial mass is influenced by
the d...