A Cayley graph for F2×F2 which is not minimally almost
convex
October 31, 2016
Mathematics
Group Theory
We give an example of a Cayley graph Γ for the group F2×F2 which is not minimally almost convex (MAC). On the other hand, the
standard Cayley graph for F2×F2 does satisfy the falsification by
fellow travel...
Infinity categories with duality and hermitian multiplicative infinite
loop space machines
October 31, 2016
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Mathematics
K-Theory and Homology
Algebraic Topology
Category Theory
We show that any preadditive infinity category with duality gives rise to a
direct sum hermitian K-theory spectrum. This assignment is lax symmetric
monoidal, thereby producing E-infinity ring spectra from preadditive symmetric
monoidal inf...
On the interplay between notions of additive and multiplicative
largeness and its combinatorial applications
October 30, 2016
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Mathematics
Combinatorics
Dynamical Systems
Many natural notions of additive and multiplicative largeness arise from
results in Ramsey theory. In this paper, we explain the relationships between
these notions for subsets of N and in more general ring-theoretic
structures. ...
Nonequilibrium and nonlinear kinetics as key determinants for
bistability in fission yeast G2-M transition
October 30, 2016
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Quantitative Biology
Molecular Networks
Subcellular Processes
A living cell is an open, nonequilibrium biochemical system where ATP
hydrolysis serves as the energy source for a wide range of intracellular
processes, possibly including the assurance for decision-making. In the fission
yeast cell cycle,...
Hamiltonian analysis of the BFCG theory for a strict Lie 2-group
October 30, 2016
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Physics
Mathematics
Mathematical Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
We perform a complete Hamiltonian analysis of the BFCG action for a general
Lie 2-group by using the Dirac procedure. We show that the resulting dynamical
constraints eliminate all local degrees of freedom which implies that the BFCG
theory...
Reduced-Order Modeling for Heston Stochastic Volatility Model
October 29, 2016
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
In this paper, we compare the intrusive proper orthogonal decomposition (POD)
with Galerkin projection and the data-driven dynamic mode decomposition (DMD),
for Heston's option pricing model. The full order model is obtained by
discontinuou...
The ACPATH Metric: Precise Estimation of the Number of Acyclic Paths in
C-like Languages
October 25, 2016
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Computer Science
Software Engineering
Programming Languages
NPATH is a metric introduced by Brian A. Nejmeh in [13] that is aimed at
overcoming some important limitations of McCabe's cyclomatic complexity.
Despite the fact that the declared NPATH objective is to count the number of
acyclic execution...
On Yomdin's version of a Lipschitz Implicit Function Theorem and the
geometry of medial axes
October 25, 2016
Mathematics
Metric Geometry
In his beautiful paper on the central set from 1981, Y. Yomdin makes use of a
Lipschitz Inverse Function Theorem that seemingly has been unproved until now.
After a brief discussion of a natural and straightforward Lipschitz counterpart
of ...
Observation of an excess at 30 GeV in the opposite sign di-muon spectra
of Z0→bb+X events recorded by the ALEPH
experiment at LEP
October 20, 2016
Physics
High Energy Physics - Experiment
The re-analysis of the archived data recorded at the Z0 resonance
by the ALEPH experiment at LEP during the years 1992-1995 shows an excess in
the opposite sign di-muon mass spectra at 30.40 ± 0.46 GeV in events
containing b ...
Schertz style class invariants for higher degree CM fields
October 14, 2016
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Mathematics
Number Theory
Special values of Siegel modular functions for Sp(Z) generate class fields of CM fields. They also yield abelian
varieties with a known endomorphism ring. Smaller alternative values of modular
functions that lie i...