Browsing by Subject "Mathematics, Applied"
Now showing items 18 of 8

A classical proof that the algebraic homotopy class of a rational function is the residue pairing
(Linear Algebra and Its Applications, 20200615)© 2020 Elsevier Inc. Cazanave has identified the algebraic homotopy class of a rational function of 1 variable with an explicit nondegenerate symmetric bilinear form. Here we show that Hurwitz's proof of a classical result ... 
A slicing obstruction from the $\frac {10}{8}$ theorem
(Proceedings of the American Mathematical Society, 20160829)© 2016 American Mathematical Society. From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4manifold whose boundary is 0surgery on a knot. We show that this obstruction is able ... 
A stochasticLagrangian particle system for the NavierStokes equations
(Nonlinearity, 20081101)This paper is based on a formulation of the NavierStokes equations developed by Constantin and the first author (Commun. Pure Appl. Math. at press, arXiv:math.PR/0511067), where the velocity field of a viscous incompressible ... 
An adaptive EulerMaruyama scheme for SDEs: Convergence and stability
(IMA Journal of Numerical Analysis, 20070101)The understanding of adaptive algorithms for stochastic differential equations (SDEs) is an open area, where many issues related to both convergence and stability (longtime behaviour) of algorithms are unresolved. This ... 
Data clustering based on Langevin annealing with a selfconsistent potential
(Quarterly of Applied Mathematics, 20181011) 
From Partition Identities to a Combinatorial Approach to Explicit Satake Inversion
(Annals of Combinatorics, 20180901)© 2018, Springer International Publishing AG, part of Springer Nature. In this paper, we provide combinatorial proofs for certain partition identities which arise naturally in the context of Langlands’ beyond endoscopy proposal. ... 
Seifert surfaces distinguished by sutured Floer homology but not its Euler characteristic
(Topology and its Applications, 201504)© 2015 Elsevier B.V. In this paper we find a family of knots with trivial Alexander polynomial, and construct two nonisotopic Seifert surfaces for each member in our family. In order to distinguish the surfaces we study ... 
Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations
(Communications in Contemporary Mathematics, 20051001)We explore Itô stochastic differential equations where the drift term possibly depends on the infinite past. Assuming the existence of a Lyapunov function, we prove the existence of a stationary solution assuming only minimal ...