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Comparison of Stochastic and Deterministic Models of a Linear Chemical Reaction with Diffusion

- D. Blount
- Mathematics
- 1 October 1991

Particles placed in $N$ cells on the unit interval give birth or die according to linear rates. Adjacent cells are coupled by diffusion with a rate proportional to $N^2$. Cell numbers are divided by… Expand

Law of Large Numbers in the Supremum Norm for a Chemical Reaction with Diffusion

- D. Blount
- Mathematics
- 1 February 1992

Fourier analysis applied to SPDEs

- D. Blount
- Mathematics
- 1 July 1996

Solutions of two nonlinear SPDEs are obtained as limits of systems of SDEs. Tightness of the approximating distributions and smoothness of the limiting processes, as measured by Hilbert space norms,… Expand

Density-dependent limits for a nonlinear reaction-diffusion model

- D. Blount
- Mathematics
- 1 October 1994

A reaction-diffusion model, constructed on a grid by linking nonlinear density-dependent birth and death processes through particle diffusion, is studied by proving two laws of large numbers and a… Expand

Diffusion limits for a nonlinear density dependent space-time population model

- D. Blount
- Mathematics
- 1 April 1996

A population density process is constructed using approximately Nl particles performing rate N 2 random walks between N cells distributed on the unit interval. Particles give birth or die within… Expand

On convergence determining and separating classes of functions

- D. Blount, M. Kouritzin
- Mathematics
- 1 September 2010

Herein, we generalize and extend some standard results on the separation and convergence of probability measures. We use homeomorphism-based methods and work on incomplete metric spaces, Skorokhod… Expand

Limit theorems for a sequence of nonlinear reaction-diffusion systems

- D. Blount
- Mathematics
- 1 April 1993

A space-time jump Markov process, modeling a nonlinear chemical reaction with diffusion, is compared with the solution of a nonlinear reaction-diffusion equation. A central limit theorem and law of… Expand

Artificial learning approaches for multitarget tracking

- D. Blount, M. Kouritzin, J. McCrosky
- Engineering
- SPIE Defense + Commercial Sensing
- 21 September 2004

A hybrid weighted/interacting particle filter, the selectively resampling particle (SERP) filter, is used to detect and track an unknown number of independent targets on a one-dimensional "racetrack"… Expand

Euthanasia, capital punishment and mistakes-are-fatal arguments.

- D. Blount
- Medicine
- Public affairs quarterly
- 1 October 1996

one consistently be both opposed to abortion and euthanasia and in favor of capital punishment? Those who oppose abortion and euthanasia but support capital punishment have been accused of being… Expand

Hölder continuity for spatial and path processes via spectral analysis

- D. Blount, M. Kouritzin
- Mathematics
- 1 March 2001

Abstract. For ν(dθ), a σ-finite Borel measure on Rd, we consider L2(ν(dθ))-valued stochastic processes Y(t) with te property that Y(t)=y(t,·) where y(t,θ)=∫t0e−λ(θ)(t−s)dm(s,θ) and m(t,θ) is a… Expand

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