5 papers
Factorization for the matrix-valued general Jacobi system on the full-line lattice
Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou +2
The Jacobi system with matrix-valued coefficients and with the spectral parameter depending on a matrix-valued weight factor is considered on the full-line lattice. The scattering…
A Probabilistic Model for Forest Fires
Vassilis G. Papanicolaou
We propose a discrete two-dimensional mathematical model for forest fires and we derive certain results describing its limiting behavior. We also pose a relevant open question.
Non-Self-Adjoint Hill Operators whose Spectrum is a Real Interval
Vassilis G. Papanicolaou
Let , , where is a periodic potential, and suppose that the spectrum of is the positive semi-axis . In the c…
Asymptotics Related to a Binary Search Scheme
Vassilis G. Papanicolaou
Specimens are collected from different sources. Each specimen has probability of being contaminated, independently of the other specimens. We assume group testing is applic…
A binary search scheme for determining all contaminated specimens
Vassilis G. Papanicolaou
Specimens are collected from different sources. Each specimen has probability of being contaminated (e.g., in the case of an infectious disease, is the prevalence rate)…