On the direct product of fields with an application
November 11, 2019
Mathematics
Commutative Algebra
Algebraic Geometry
In this paper, the (infinite) direct product of fields is investigated. In
particular, the finiteness of a given set is characterized in terms of some
ring-theoretic observations. Next, a certain localization (whose multiplicative
set forme...
Scaling limit of soliton lengths in a multicolor box-ball system
November 11, 2019
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Mathematics
Physics
Probability
Mathematical Physics
Combinatorics
Mathematical Physics
Cellular Automata and Lattice Gases
Exactly Solvable and Integrable Systems
The box-ball systems are integrable cellular automata whose long-time
behavior is characterized by soliton solutions, with rich connections to other
integrable systems such as the Korteweg-de Vries equation. In this paper, we
consider a mul...
Robust M{\o}lmer-S{\o}rensen gate for neutral atoms using rapid
adiabatic Rydberg dressing
November 10, 2019
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Physics
Quantum Physics
Atomic Physics
Quantum Physics
Atomic Physics
The Rydberg blockade mechanism is now routinely considered for entangling
qubits encoded in clock states of neutral atoms. Challenges towards
implementing entangling gates with high fidelity include errors due to thermal
motion of atoms, la...
The fastest series for 1/π due to Ramanujan. Proofs from modular
polynomials
November 10, 2019
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Mathematics
Number Theory
Number Theory
First we give formulas for proving Ramanujan series for 1/π, Then, as an
example, we apply them for providing complete proofs of the fastest series for
1/π due to Ramanujan using Russell and Weber modular polynomials....
Measuring the Time-Varying Market Efficiency in the Prewar and Wartime
Japanese Stock Market, 1924-1943
November 10, 2019
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Quantitative Finance
Economics
Statistical Finance
General Economics
Economics
General Finance
This study explores the time-varying structure of market efficiency in the
prewar and wartime Japanese stock market using a new market
capitalization-weighted stock price index, the equity performance index. We
examine whether the adaptive ...
Some dynamical properties of delayed weakly reversible mass-action
systems
November 9, 2019
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Mathematics
Dynamical Systems
This paper focuses on the dynamical properties of delayed complex balanced
systems. We first study the relationship between the stoichiometric
compatibility classes of delayed and non-delayed systems. Using this relation
we give another way...
On loop Deligne--Lusztig varieties of Coxeter-type for inner forms of
GLn
November 8, 2019
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Mathematics
Algebraic Geometry
Number Theory
Representation Theory
Algebraic Geometry
Number Theory
Representation Theory
For a reductive group G over a local non-archimedean field K one can
mimic the construction from the classical Deligne--Lusztig theory by using the
loop space functor. We study this construction in special the case that G is
an inner ...
Displacement energy of Lagrangian 3-spheres
November 8, 2019
Mathematics
Symplectic Geometry
We estimate the displacement energy of Lagrangian 3-spheres in a symplectic
6-manifold X, by estimating the displacement energy of a one-parameter family
Lλ of Lagrangian tori near the sphere. The proof establishes a new
versio...
Intersubjectivity and value reproducibility of outcomes of quantum
measurements
November 8, 2019
Physics
General Physics
Quantum Physics
Every measurement determines a single value as its outcome, and yet quantum
mechanics predicts it only probabilistically. The Kochen-Specker theorem and
Bell's inequality are often considered to reject a realist view but favor a
skeptical v...
Controlled objects in left-exact ∞-categories and the Novikov
conjecture
November 6, 2019
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Mathematics
K-Theory and Homology
Algebraic Topology
Metric Geometry
We associate to every G-bornological coarse space X and every left-exact
∞-category with G-action a left-exact infinity-category of equivariant
X-controlled objects. Postcomposing with algebraic K-theory leads to {new}
equiva...