A Gorenstein criterion for strongly F-regular and log terminal
singularities
March 28, 2016
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Mathematics
Commutative Algebra
Algebraic Geometry
A conjecture of Hirose, Watanabe, and Yoshida offers a characterization of
when a standard graded strongly F-regular ring is Gorenstein, in terms of an
F-pure threshold. We prove this conjecture under the additional hypothesis
that the ...
Exponential decay estimates and smoothness of the moduli space of
pseudoholomorphic curves
March 22, 2016
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Mathematics
Symplectic Geometry
Differential Geometry
In this paper, we examine the dependence of standard gluing process for
pseudoholomorphic curves under the change of the length T of the neck-region
with respect to the cylindrical metrics associated to the given analytic
coordinates near...
Note on Return Probability Behaviors in Random Environments of
Conductances
March 21, 2016
Mathematics
Probability
We study the trapping phenomenon of random walks in random environments of
i.i.d. non-negative random conductances on the bonds of the grid
Zd, the so-called Random Conductance Model. For the important case
of conductances in $[...
Unfurling Khovanov-Lauda-Rouquier algebras
March 20, 2016
Mathematics
Representation Theory
Category Theory
Rings and Algebras
In this paper, we study the behavior of categorical actions of a Lie algebra
g under the deformation of their spectra. We give conditions under
which the general point of a family of categorical actions of g
carry ...
Exact dynamics of two ultra-cold bosons confined in a one-dimensional
double-well potential
March 17, 2016
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Physics
Quantum Gases
The dynamics of two ultra-cold bosons confined in a one-dimensional
double-well potential is studied. We compare the exact dynamics governed by a
full two-body Hamiltonian with the dynamics obtained in a two-mode model
approximation. We sho...
The Helstrom Bound
March 15, 2016
Physics
Quantum Physics
Quantum state discrimination between two wave functions on a ring is
considered. The optimal minimum-error probability is known to be given by the
Helstrom bound. A new strategy is introduced by inserting instantaneously two
impenetrable ba...
A Primer on the Signature Method in Machine Learning
March 11, 2016
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Statistics
Computer Science
Machine Learning
Machine Learning
Methodology
Machine Learning
Machine Learning
Methodology
We provide an introduction to the signature method, focusing on its
theoretical properties and machine learning applications. Our presentation is
divided into two parts. In the first part, we present the definition and
fundamental propertie...
Calibrar: an R package for fitting complex ecological models
March 9, 2016
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Quantitative Biology
Mathematics
Statistics
Quantitative Methods
Optimization and Control
Computation
The fitting or parameter estimation of complex ecological models is a
challenging optimisation task, with a notable lack of tools for fitting
complex, long runtime or stochastic models. calibrar is an R package that is
dedicated to the fitt...
On the link between binomial theorem and discrete convolution
March 8, 2016
Mathematics
Number Theory
Let Pbm(x) be a 2m+1-degree polynomial in x and b∈RPbm(x)=k=0∑b−1r=0∑mAm,rkr(x−k)r where Am,r are real coefficients. In this man...
Quasi-isometry classification of right-angled Artin groups II: several
infinite out cases
March 7, 2016
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Mathematics
Geometric Topology
Group Theory
Geometric Topology
Group Theory
We are motivated by the question that for which class of right-angled Artin
groups (RAAG's), the quasi-isometry classification coincides with
commensurability classification. This is previously known for RAAG's with
finite outer automorphis...