Mathematics Scholarly Works: Recent submissions
Now showing items 161-180 of 283
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Feynman-Kac formula for the heat equation driven by fractional noise with Hurst parameter H < 1/2
(Institute of Mathematical Statistics, 2012-09-01)In this paper, a Feynman–Kac formula is established for stochastic partial differential equation driven by Gaussian noise which is, with respect to time, a fractional Brownian motion with Hurst parameter H < 1/2. To establish ... -
Joint convergence along different subsequences of the signed cubic variation of fractional Brownian motion II
(Institute of Mathematical Statistics (IMS), 2013-10-13)The purpose of this paper is to provide a complete description the convergence in distribution of two subsequences of the signed cubic variation of the fractional Brownian motion with Hurst parameter H=1/6. -
Central limit theorem for an additive functional of the fractional Brownian motion
(Institute of Mathematical Statistics, 2014-01-09)We prove a central limit theorem for an additive functional of the d-dimensional fractional Brownian motion with Hurst index H∈(11+d,1d), using the method of moments, extending the result by Papanicolaou, Stroock and ... -
The Incidence Hopf Algebra of Graphs
(Society for Industrial and Applied Mathematics, 2012-05-03)The graph algebra is a commutative, cocommutative, graded, connected incidence Hopf algebra, whose basis elements correspond to finite graphs, and whose Hopf product and coproduct admit simple combinatorial descriptions. ... -
About direct summands of projective modules over Laurent polynomial rings
(American Mathematical Society, 1991-08-01) -
On the continuation of an invariant torus in a family with rapid oscillations
(Society for Industrial and Applied Mathematics, 2000-01-01)A persistence theorem for attracting invariant tori for systems subjected to rapidly oscillating perturbations is proved. The singular nature of these perturbations prevents the direct application of the standard persistence ... -
Center manifolds for smooth invariant manifolds
(American Mathematical Society, 2000-06-27)We study dynamics of flows generated by smooth vector fields in Rn in the vicinity of an invariant and closed smooth manifold Y. By applying the Hadamard graph transform technique, we show that there exists an invariant ... -
Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems
(Society for Industrial and Applied Mathematics, 2005-01-05)Boundary value problems of a one-dimensional steady-state Poisson--Nernst--Planck (PNP) system for ion flow through a narrow membrane channel are studied. By assuming the ratio of the Debye length to a characteristic length ... -
Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges
(Society for Industrial and Applied Mathematics, 2007-02-01)Ionic channels and semiconductor devices use atomic scale structures to control macroscopic flows from one reservoir to another. The one‐dimensional steady‐state Poisson‐Nernst‐Planck (PNP) system is a useful representation ... -
Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System
(Society for Industrial and Applied Mathematics, 2008-01-01)We investigate higher order matched asymptotic expansions of a steady-state Poisson–Nernst–Planck (PNP) system with particular attention to the I-V relations of ion channels. Assuming that the Debye length is small relative ... -
Weak gravitational fields
(American Institute of Physics, 1974-01-01)We consider the set of Ck bounded tensor fields of type (r,s) on R 4 in the topology of uniform Ck convergence. For each k≥2, the map sending a metric to its curvature tensor is shown to be analytic at the Minkowski metric. ... -
Asymptotically simple spacetime manifolds
(American Institute of Physics, 1974-02-01)Asymptotic simplicity is shown to be k‐stable (k≥3) at any Minkowski metric on R4 in both the Whitney fine Ck topology and a coarser topology (in which the Ck twice‐convariant symmetric tensors form a Banach manifold whose ... -
Twistors and induced representations of SU(2,2)
(American Institute of Physics, 197-04-01)We give an explicit realization of a series of representations of SU(2,2) induced by R+⊕SL(2,C). Vectors in these representation spaces are homogeneous spinor‐valued functions of two twistor variables. They may also be ... -
Complex p p waves and the nonlinear graviton construction
(American Institute of Physics, 1978-04-12)We show how to construct all of the complex p p waves using the nonlinear graviton construction of Penrose. -
Complex line bundles in relativity
(American Institute of Physics, 1978-02-01)We exhibit the complexified spin and conformally weighted functions as sections of holomorphic line bundles over P 1(C) ×P 1(C). As an example of a nontrivial bundle, we discuss the complex null cone in some detail. -
The Divisor Classes of the Hypersurface zpm = G(I1,...,In) in charcteristic p>0
(American Mathematical Society, 1983-08-01) -
A note on asymptotic prime sequences
(American Mathematical Society, 1983-03-01)The lengths of all maximal asymptotic prime sequences over an ideal in a local ring are shown to be the same. This number can be calculated in terms of analytic spread and depths of minimal primes in the completion. -
Note on multiplicity
(American Mathematical Society, 1988-12-01) -
Generating ideals up to projective equivalence
(American Mathematical Society, 1994-01-01)It is shown that every ideal in a commutative Noetherian ring of dimension d is projectively equivalent to an ideal having d + 1 generators. -
Castelnuovo regularity and graded rings associated to an ideal
(American Mathematical Society, 1995-03-01)We compare the Castelnuovo regularity defined with respect to different homogeneous ideals in a graded ring and use the result we obtain to prove a generalized Goto-Shimoda theorem for ideals of positive height in a ...
