MATH Research Publicationshttps://soar.wichita.edu/handle/10057/1202021-10-18T14:21:18Z2021-10-18T14:21:18ZTorus actions, maximality, and non-negative curvatureEscher, ChristineSearle, Catherinehttps://soar.wichita.edu/handle/10057/222142021-10-18T02:26:36Z2021-09-03T00:00:00ZTorus actions, maximality, and non-negative curvature
Escher, Christine; Searle, Catherine
Let $ℳ_0^n$ be the class of closed, simply connected, non-negatively curved Riemannian n-manifolds admitting an isometric, effective, isotropy-maximal torus action. We prove that if $M \in ℳ_0^n$ then M is equivariantly diffeomorphic to the free, linear quotient by a torus of a product of spheres of dimensions greater than or equal to 3. As a special case, we then prove the Maximal Symmetry Rank Conjecture for all $M \in ℳ_0^n$. Finally, we show the Maximal Symmetry Rank Conjecture for simply connected, non-negatively curved manifolds holds for dimensions less than or equal to 9 without additional assumptions on the torus action.
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2021-09-03T00:00:00ZSeasonal variation of multiple-muon cosmic ray air showers observed in the NOvA detector on the surfaceAcero, Mario A.Adamson, P.Aliaga, LeoAnfimov, Nikolay V.Antoshkin, A.Meyer, HolgerMuether, MathewSolomey, Nickolashttps://soar.wichita.edu/handle/10057/217292021-08-26T19:36:12Z2021-07-30T00:00:00ZSeasonal variation of multiple-muon cosmic ray air showers observed in the NOvA detector on the surface
Acero, Mario A.; Adamson, P.; Aliaga, Leo; Anfimov, Nikolay V.; Antoshkin, A.; Meyer, Holger; Muether, Mathew; Solomey, Nickolas
We report the rate of cosmic ray air showers with multiplicities exceeding 15 muon tracks recorded in the NOvA Far Detector between May 2016 and May 2018. The detector is located on the surface under an overburden of 3.6 meters water equivalent. We observe a seasonal dependence in the rate of multiple-muon showers, which varies in magnitude with multiplicity and zenith angle. During this period, the effective atmospheric temperature and surface pressure ranged between 210 K and 230 K and 940 mbar and 990 mbar, respectively; the shower rates are anticorrelated with the variation in the effective temperature. The variations are about 30% larger for the highest multiplicities than the lowest multiplicities and 20% larger for showers near the horizon than vertical showers.
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
2021-07-30T00:00:00ZHyperbolic cosine ratio and hyperbolic sine ratio random fieldsMa, Chunshenghttps://soar.wichita.edu/handle/10057/217272021-08-24T21:32:57Z2021-12-01T00:00:00ZHyperbolic cosine ratio and hyperbolic sine ratio random fields
Ma, Chunsheng
This paper introduces several vector random fields whose finite-dimensional characteristic functions are of hyperbolic type, including generalized logistic, hyperbolic secant, hyperbolic tangent, hyperbolic cosine ratio, and hyperbolic sine ratio vector random fields. They are elliptically contoured vector random fields with all orders of moments, and are infinitely divisible. In the scalar case, we make the peakedness comparison among these random fields. Hyperbolic cosine ratio and hyperbolic since ratio Lévy processes are formulated as well.
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2021-12-01T00:00:00ZK-combined random fields: Basic properties and stochastic orderingsChen, BomingWang, FangfangMa, Chunshenghttps://soar.wichita.edu/handle/10057/208232021-06-13T17:11:46Z2021-05-17T00:00:00ZK-combined random fields: Basic properties and stochastic orderings
Chen, Boming; Wang, Fangfang; Ma, Chunsheng
This paper introduces the K-combined vector random field, whose finite-dimensional characteristic functions are made up of certain power functions and whose finite-dimensional density functions are comprised of the modified Bessel functions of the second type. It is an elliptically contoured vector random field, contains K-differenced vector random field of Alsultan and Ma (2019) as a special case, and possesses all orders of moments. It is fully characterized by its mean vector function and its covariance matrix function, just like a Gaussian vector random field. With various selection of its parameters, its finite-dimensional distributions may have heavy tails or thin tails, comparing with a Gaussian one, and thus it provides a potential model for applications. We also investigate the usual stochastic ordering, the convex ordering, and the peakedness ordering of K-combined random fields and of multivariate K-combined distributions, with necessary and/or sufficient conditions derived.
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2021-05-17T00:00:00Z