Index Catalog // ScholarsArchive@OSU

Fractional Brownian fields over manifolds

Creator:: Gelbaum, Zachary A.
Abstract:: Extensions of the fractional Brownian fields are constructed over a complete Riemannian manifold. This construction is carried out for the full range of the Hurst parameter α ∈ (0, 1). In particular, we establish existence, distributional scaling (self-similiarity), stationarity of the increments, and almost sure H¨older continuity of sample paths....
Resource Type:: Article
Full Text:: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 366, Number 9, September 2014, Pages 4781–4814 S 0002

Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics

Creator:: Walsh, Mark
Abstract:: Let X and Y be a pair of smooth manifolds, each obtainable from the other by surgery in codimension at least three. We show that the corresponding spaces Riem⁺(X) and Riem⁺(Y), respectively consisting of Riemannian metrics of positive scalar curvature on X and Y, are homotopy equivalent. This result is...
Resource Type:: Article
Full Text:: of positive scalar curvature metrics PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 141

Exponent bounds for a convolution inequality in Euclidean space with applications to the Navier-Stokes equations

Creator:: Orum, Chris and Ossiander, Mina
Abstract:: The convolution inequality h ∗ h(ξ) ≤ B|ξ|θh(ξ) defined on Rⁿ arises from a probabilistic representation of solutions of the n-dimensional Navier-Stokes equations, n ≥ 2. Using a chaining argument, we establish in all dimensions n ≥ 1 the nonexistence of strictly positive fully supported solutions of this inequality for...
Resource Type:: Article
Full Text:: -0073958 and DMS-0940249. c©2013 American Mathematical Society Reverts to public domain 28 years from

A class of Markov chains with no spectral gap

Creator:: Kovchegov, Yevgeniy and Michalowski, Nicholas
Abstract:: In this paper we extend the results of the research started by the first author in which Karlin-McGregor diagonalization of certain reversible Markov chains over countably infinite general state spaces by orthogonal polynomials was used to estimate the rate of convergence to a stationary distribution. We use a method of...
Resource Type:: Article
Full Text:: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 141, Number 12, December 2013, Pages 4317–4326 S 0002

A dynamical pairing between two rational maps

Creator:: Petsche, Clayton, Szpiro, Lucien, and Tucker, Thomas J.
Abstract:: Given two rational maps φ and ψ on Ρ¹ of degree at least two, we study a symmetric, nonnegative real-valued pairing〈φ, ψ〉which is closely related to the canonical height functions hφ and hψ associated to these maps. Our main results show a strong connection between the value of〈φ, ψ〉and the...
Resource Type:: Article
Full Text:: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume

Sampling, feasibility, and priors in Bayesian estimation

Creator:: Chorin, Alexandre J., Lu, Fei, Miller, Robert N., Morzfeld, Matthias, and Tu, Xuemin
Abstract:: Importance sampling algorithms are discussed in detail, with an emphasis on implicit sampling, and applied to data assimilation via particle filters. Implicit sampling makes it possible to use the data to find high-probability samples at relatively low cost, making the assimilation more efficient. A new analysis of the feasibility of...
Resource Type:: Article

Eliminating flutter for clamped von Karman plates immersed in subsonic flows

Creator:: Lasiecka, Irena and Webster, Justin
Abstract:: We address the long-time behavior of a non-rotational von Karman plate in an inviscid potential flow. The model arises in aeroelasticity and models the interaction between a thin, nonlinear panel and a flow of gas in which it is immersed [6, 21, 23]. Recent results in [16, 18] show that...
Resource Type:: Article
Full Text:: 10.3934/cpaa.2014.13.1935 American Institute of Mathematical Sciences Version of Record http

Flow-plate interactions: Well-posedness and long-time behavior

Creator:: Chueshov, Igor, Lasiecka, Irena, and Webster, Justin
Abstract:: We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a novel treatment of the so called Kutta-Joukowsky flow conditions are given in the subsonic case. The...
Resource Type:: Article
Full Text:: .2014.7.925 American Institute of Mathematical Sciences Version of Record http

Commensurable continued fractions

Creator:: Arnoux, Pierre and Schmidt, Thomas A.
Abstract:: We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the Veech algorithm. Each of these algorithms expands real numbers in terms of certain algebraic integers. We give explicit models of the natural extension of the maps associated with these algorithms; prove that these natural extensions are...
Resource Type:: Article
Full Text:: American Institute of Mathematical Sciences Version of Record http://cdss.library.oregonstate.edu/sa

The fundamental solution of linearized nonstationary navier-stokes equations of motion around a rotating and translating body.

Creator:: Farwig, Reinhard, Guenther, Ronald B., Thomann, Enrique A., and Necasova, Sarka
Abstract:: We derive the fundamental solution of the linearized problem of the motion of a viscous uid around a rotating body when the axis of rotation of the body is not parallel to the velocity of the uid at infinity.
Resource Type:: Article
Full Text:: University Corvallis, OR 97331, USA Šarka Nečasová Mathematical Institute of Academy of Sciences

ScholarsArchive@OSU

Fractional Brownian fields over manifolds

Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics

Exponent bounds for a convolution inequality in Euclidean space with applications to the Navier-Stokes equations

A class of Markov chains with no spectral gap

A dynamical pairing between two rational maps

Sampling, feasibility, and priors in Bayesian estimation

Eliminating flutter for clamped von Karman plates immersed in subsonic flows

Flow-plate interactions: Well-posedness and long-time behavior

Commensurable continued fractions

The fundamental solution of linearized nonstationary navier-stokes equations of motion around a rotating and translating body.

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