The third virial coefficient of a two-component unitary Fermi gas across
an Efimov-effect threshold
December 5, 2014
| |
Physics
Quantum Gases
We consider a mixture of two single-spin-state fermions with an interaction
of negligible range and infinite s-wave scattering length. By varying the
mass ratio α across αc≃13.6069 one can switch on-and-off
the Efimov...
Language Edit Distance & Scored Parsing: Faster Algorithms & Connection
to Fundamental Graph Problems
November 26, 2014
|
Computer Science
Data Structures and Algorithms
Formal Languages and Automata Theory
Given a context free language L(G) over alphabet Σ and a
string s∈Σ∗, {\em the language edit distance} problem seeks the
minimum number of edits (insertions, deletions and substitutions) required to
convert $s...
Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD
conjecture
November 24, 2014
Mathematics
Number Theory
In this paper we prove the ±-main conjecture of Iwasawa theory formulated
by Kobayashi for elliptic curves with supersingular reduction at an odd prime
p such that ap=0, using a key new observation that it can be reduced to
another...
Identification and Estimation of Multidimensional Screening
November 23, 2014
|
Quantitative Finance
Economics
We study the identification and estimation of a multidimensional screening
model, where a monopolist sells a product with multiple qualities to consumers
with private information about their multidimensional preferences. Under
optimal scree...
Tropical enumeration of curves in blowups of the projective plane
November 20, 2014
|
Mathematics
Symplectic Geometry
Algebraic Geometry
Differential Geometry
Symplectic Geometry
Algebraic Geometry
Differential Geometry
We describe a method for recursively calculating Gromov-Witten invariants of
all blowups of the projective plane. This recursive formula is different from
the recursive formulas due to G\"ottsche and Pandharipande in the zero genus
case, an...
On n-dependence
November 1, 2014
| |
Mathematics
Logic
Combinatorics
In this note we develop and clarify some of the basic combinatorial
properties of the new notion of n-dependence (for 1≤n<ω)
recently introduced by Shelah. In the same way as dependence of a theory means
its inability to enco...
Building a Balanced k-d Tree in O(kn log n) Time
October 20, 2014
Computer Science
Data Structures and Algorithms
The original description of the k-d tree recognized that rebalancing
techniques, such as are used to build an AVL tree or a red-black tree, are not
applicable to a k-d tree. Hence, in order to build a balanced k-d tree, it is
necessary to f...
Plane Symmetric, Cylindrically Symmetric and Spherically Symmetric
Vacuum Solutions of Einstein Field Equations
October 19, 2014
Physics
General Physics
In this paper we present Plane symmetric, Cylindrically Symmetric and
Spherically Symmetric Black hole or Vacuum solutions of Einstein Field
Equations(EFEs). Some of these solutions are new which we have not seen in the
literature. This cal...
Representation growth of maximal class groups: various exceptional cases
October 18, 2014
|
Mathematics
Group Theory
Group Theory
This paper is a sequel to "Representation growth of maximal class groups:
non-exceptional primes". We use a constructive method to calculate some
exceptional cases of p-local representation zeta functions of a family of
finitely generated...
Positivity properties of relative complete intersections
October 11, 2014
|
Mathematics
Algebraic Geometry
We give conditions for f-positivity of relative complete intersections in
projective bundles. We also derive an instability result for the fibres....