Classification of Lie algebras of specific type in complexified Clifford
algebras
April 12, 2017
|
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Mathematical Physics
Mathematical Physics
We give a full classification of Lie algebras of specific type in
complexified Clifford algebras. These sixteen Lie algebras are direct sums of
subspaces of quaternion types. We obtain isomorphisms between these Lie
algebras and classical m...
Star flows: a characterization via Lyapunov functions
April 6, 2017
Mathematics
Dynamical Systems
In this work, it is presented a characterization of star property for a C1
vector field based on Lyapunov functions. It is also obtained conditions to
strong homogeneity for singular sets by using the notion of infinitesimal
Lyapunov fun...
Primordial black holes from collapsing antimatter
April 6, 2017
Physics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
In this paper a simple (i.e. free of fine-tuning, etc.) new mechanism for
primordial black hole formation based on the collapse of large antimatter
systems in the early Universe is introduced. A peculiarity of this process is
that, compared...
A Mathematical Framework for Consciousness in Neural Networks
April 4, 2017
|
Quantitative Biology
Neurons and Cognition
Neurons and Cognition
This paper presents a novel mathematical framework for bridging the
explanatory gap (Levine, 1983) between consciousness and its physical
correlates. Specifically, we propose that qualia correspond to singularities in
the mathematical repre...
Interacting lattice systems with quantum dissipation: a quantum Monte
Carlo study
April 3, 2017
| | | | |
Physics
Strongly Correlated Electrons
Quantum dissipation arises when a large system can be split in a quantum
system and an environment where the energy of the former flows to.
Understanding the effect of dissipation on quantum many-body systems is of
particular importance due...
Variational characterization of the regularity of Monge-Brenier maps
April 2, 2017
Mathematics
Probability
On an abstract Wiener space, assume that T is the solution of the quadratic
Monge problem associated to the Wiener measure and a second one with a
Radon-Nikodym derivative of exponential type. Under the finite information
hypothesis, using ...
Anosov Properties of a Symplectic Map with Time-Reversal Symmetry
March 31, 2017
| | |
Physics
Chaotic Dynamics
Chaotic Dynamics
This study presents a specific symplectic map, derived from a Hamiltonian, as
a model that exhibits time-reversal symmetry on a microscopic scale. Based on
the analysis, any initial density function, defined almost everywhere,
converges to ...
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....