12,375 research outputs found
A Characterization of Locally Testable Affine-Invariant Properties via Decomposition Theorems
Let be a property of function for
a fixed prime . An algorithm is called a tester for if, given
a query access to the input function , with high probability, it accepts
when satisfies and rejects when is "far" from satisfying
. In this paper, we give a characterization of affine-invariant
properties that are (two-sided error) testable with a constant number of
queries. The characterization is stated in terms of decomposition theorems,
which roughly claim that any function can be decomposed into a structured part
that is a function of a constant number of polynomials, and a pseudo-random
part whose Gowers norm is small. We first give an algorithm that tests whether
the structured part of the input function has a specific form. Then we show
that an affine-invariant property is testable with a constant number of queries
if and only if it can be reduced to the problem of testing whether the
structured part of the input function is close to one of a constant number of
candidates.Comment: 27 pages, appearing in STOC 2014. arXiv admin note: text overlap with
arXiv:1306.0649, arXiv:1212.3849 by other author
Why people choose negative expected return assets - an empirical examination of a utility theoretic explanation
Using a theoretical extension of the Friedman and Savage (1948) utility function developed in Bhattacharyya (2003), we predict that for financial assets with negative expected returns, expected return will be a declining and convex function of skewness. Using a sample of U.S. state lottery games, we find that our theoretical conclusions are supported by the data. Our results have external validity as they also hold for an alternative and more aggregated sample of lottery game data.
Quantum integrability of bosonic Massive Thirring model in continuum
By using a variant of the quantum inverse scattering method, commutation
relations between all elements of the quantum monodromy matrix of bosonic
Massive Thirring (BMT) model are obtained. Using those relations, the quantum
integrability of BMT model is established and the S-matrix of two-body
scattering between the corresponding quasi particles has been obtained. It is
observed that for some special values of the coupling constant, there exists an
upper bound on the number of quasi-particles that can form a quantum-soliton
state of BMT model. We also calculate the binding energy for a N-soliton state
of quantum BMT model.Comment: Latex, 23 pages, no figure
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