Enskog kinetic theory for a model of a confined quasi-two-dimensional
granular fluid
March 9, 2018
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Physics
Statistical Mechanics
The Navier-Stokes transport coefficients for a model of a confined
quasi-two-dimensional granular gas of smooth inelastic hard spheres are derived
from the Enskog kinetic equation. A normal solution to this kinetic equation is
obtained via ...
Inner Product in Highest-Weight Representation
March 7, 2018
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Physics
Mathematics
Mathematical Physics
Mathematical Physics
In this paper, we study the inner product of states corresponding to weights
of finite-dimensional highest-weight representations of classical groups.
We prove that the action of the raising operators would reduce a state of
hight-weight ...
Refining Fuchs' Theorem: Ensuring Uniqueness through No-Resummation
Constraints
March 5, 2018
|
Mathematics
Classical Analysis and ODEs
Classical Analysis and ODEs
This paper revisits Fuchs' theorem to address a critical limitation in its
framework: the implicit assumption that power series expansions remain
invariant under term rearrangement. We propose a \textit{No-Resummation
Constraint} that ensur...
On the index of minimal 2-tori in the 4-sphere
March 5, 2018
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Mathematics
Differential Geometry
In this note we prove that any minimal 2-torus in S4 has Morse index at
least 6, with equality if and only if it is congruent to the Clifford torus
in some great S3⊂S4.For a minimal 2-torus in Sn with vanishing
Hopf d...
Perpertual Coupled Simulated Annealing for Continuous Optimization
March 2, 2018
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Mathematics
Optimization and Control
Optimization and Control
Global optimization heuristics are popular to optimize hard non-convex
problems. Despite their irrefutably large cost-to-solution, in the lack of
other working greedy or convex approaches, global optimization algorithms
remain the no-braine...
Rough Path Renormalization from Stratonovich to It\^o for Fractional
Brownian Motion
March 1, 2018
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Mathematics
Probability
This paper develops an It\^o-type fractional pathwise integration theory for
fractional Brownian motion with Hurst parameters H∈(31,21], using the Lyons' rough path framework. This approach is
designed to fill g...
Boyer-Lindquist space-times and beyond: Meta-material analogues
February 27, 2018
|
Physics
General Relativity and Quantum Cosmology
Analogue space-times (and in particular metamaterial analogue space-times)
have a long varied and complex history. Much of the previous related work has
focused on spherically symmetric models; however, axial symmetry is much more
relevant ...
Approximation Algorithms for D-optimal Design
February 22, 2018
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Statistics
Computer Science
Machine Learning
Data Structures and Algorithms
Machine Learning
Data Structures and Algorithms
Experimental design is a classical statistics problem and its aim is to
estimate an unknown m-dimensional vector β from linear measurements
where a Gaussian noise is introduced in each measurement. For the combinatorial
experimental...
Higher Hochschild homology and exponential functors
February 21, 2018
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Mathematics
Algebraic Topology
Algebraic Topology
We study higher Hochschild homology evaluated on wedges of circles, viewed as
a functor on the category of free groups. The main results use coefficients
arising from square-zero extensions; this is motivated by work of Turchin and
Willwach...
A Note on Coherent States for Virasoro Orbits
February 21, 2018
Physics
High Energy Physics - Theory
There are two sets of orbits of the Virasoro group which admit a K\"ahler
structure. We consider the construction of coherent states for the orbit
diffS1/SL(2,R) which furnishes unitary
representations of t...