Probabilistic well-posedness for the nonlinear wave equation on
B2×T
September 10, 2014
Mathematics
Physics
Analysis of PDEs
Mathematical Physics
Mathematical Physics
We establish probabilistic well-posedness results for the subcubic nonlinear
wave equation, posed on the domain B2×T, with randomly chosen
initial data having radial symmetry in the B2 variable, and with vanishing
Dirich...
Convergence of hybrid slice sampling via spectral gap
September 9, 2014
|
Statistics
Methodology
It is known that the simple slice sampler has robust convergence properties,
however the class of problems where it can be implemented is limited. In
contrast, we consider hybrid slice samplers which are easily implementable and
where anoth...
Symplectic, orthogonal and linear Lie groups in Clifford algebra
September 8, 2014
|
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Mathematical Physics
Mathematical Physics
In this paper we prove isomorphisms between 5 Lie groups (of arbitrary
dimension and fixed signatures) in Clifford algebra and classical matrix Lie
groups - symplectic, orthogonal and linear groups. Also we obtain isomorphisms
of correspond...
Normal Forms and Degenerate CR Singularities
August 28, 2014
Mathematics
Complex Variables
Differential Geometry
It is constructed a normal form for a class of real-smooth surfaces
M\subset\mathbb{C}^{2} defined near a degenerate CR singularity....
Matrix integrals over unitary groups: An application of Schur-Weyl
duality
August 16, 2014
Physics
Mathematics
Quantum Physics
Mathematical Physics
Mathematical Physics
The integral formulae pertaining to the unitary group U(d) have
been comprehensively reviewed, yielding fresh results and innovative proofs.
Central to the derivation of these formulae lies the employment of Schur-Weyl
duality, a...
Self-assembled porous media from particle-stabilized emulsions
August 13, 2014
|
Physics
Soft Condensed Matter
Materials Science
Chemical Physics
Computational Physics
Fluid Dynamics
We propose a new mechanism to create self-assembled porous media with highly
tunable geometrical properties and permeabilities: We first allow a
particle-stabilized emulsion to form from a mixture of two fluids and colloidal
particles. Then...
Infinite-dimensional stochastic differential equations arising from Airy
random point fields
August 4, 2014
|
Mathematics
Physics
Probability
Mathematical Physics
Mathematical Physics
The Airyβ random point fields (β=1,2,4) are random point
fields emerging as the soft-edge scaling limits of eigenvalues of Gaussian
random matrices. We construct the unlabeled diffusion reversible with respect
to the Airy...
Roles of Hund's rule coupling in excitonic density-wave states
July 17, 2014
|
Physics
Strongly Correlated Electrons
Excitonic density-wave states realized by the quantum condensation of
electron-hole pairs (or excitons) are studied in the two-band Hubbard model
with Hund's rule coupling and the pair hopping term. Using the variational
cluster approximati...
In Quantum Computing Speedup Illusory?: The False Coin of "Counting
Function Evaluations"
July 16, 2014
Physics
Quantum Physics
By using a new way to encode Boolean functions in a reversible gate, an
algorithm is developed in quantum computing over Z_2, symbolized QC/2, (as
opposed to QC over C) that needs only one function evaluation to solve the
Grover Database Se...
A theory for the zeros of Riemann ζ and other L-functions
(updated)
July 16, 2014
|
Mathematics
Physics
Number Theory
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
In these lectures we first review the important properties of the Riemann
ζ-function that are necessary to understand the nature and importance of
the Riemann hypothesis (RH). In particular this first part describes the
analytic conti...