Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Papanicolaou, Vassilis G."'
Autor:
Papanicolaou, Vassilis G.
Specimens are collected from $N$ different sources. Each specimen has probability $p$ of being contaminated, independently of the other specimens. We assume group testing is applicable, namely one can take small portions from several specimens, mix t
Externí odkaz:
http://arxiv.org/abs/2409.14468
Autor:
Papanicolaou, Vassilis G.
Let $H = -d^2/dx^2 + q(x)$, $x \in \mathbb{R}$, where $q(x)$ is a periodic potential, and suppose that the spectrum $\sigma(H)$ of $H$ is the positive semi-axis $[0, \infty)$. In the case where $q(x)$ is real-valued (and locally square-integrable) a
Externí odkaz:
http://arxiv.org/abs/2409.10266
Autor:
Papanicolaou, Vassilis G.
We give examples of fourth-order scattering-type operators, acting on $L_2(\mathbb{R})$, which have eigenvalues embedded in their continuous spectra.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2110.00739
In this short article we present some properties regarding the order and the type of an entire function.
Comment: 13 pages. arXiv admin note: substantial text overlap with arXiv:1906.02233
Comment: 13 pages. arXiv admin note: substantial text overlap with arXiv:1906.02233
Externí odkaz:
http://arxiv.org/abs/2109.02535
Autor:
Papanicolaou, Vassilis G.
We present some properties of the Weierstrass $\wp$-function associated to the hexagonal (or triangular) lattice. In particular, with the help of an old theorem of I.N. Baker \cite{B} on the characterization of meromorphic solutions of the equation $
Externí odkaz:
http://arxiv.org/abs/2105.04307
Autor:
Papanicolaou, Vassilis G.
Specimens are collected from $N$ different sources. Each specimen has probability $p$ of being contaminated (e.g., in the case of an infectious disease, $p$ is the prevalence rate), independently of the other specimens. In many cases group testing is
Externí odkaz:
http://arxiv.org/abs/2007.11910
A popular variant of the collector's problem is the following: Assume there are $N$ different types of coupons with equal occurring probabilities. There is one main collector who collects coupons. When she gets a "double," she gives it to her younger
Externí odkaz:
http://arxiv.org/abs/2005.05270
Consider a broadcast channel with $n$ users, where different users receive different messages, and suppose that each user has to receive $m$ packets. A quantity of interest here, introduced by Sharif and Hassibi (2006-7) \cite{Sh}, \cite{S-H}, is the
Externí odkaz:
http://arxiv.org/abs/2003.13132
Autor:
Papanicolaou, Vassilis G.
We consider a function $G(\lambda, z)$, entire in $\lambda$, which interpolates the derivatives of the Gamma function in the sense that $G(m, z) = \Gamma^{(m)}(z)$ for any integer $m \geq 0$ and we calculate the asymptotics of $G(\lambda, z)$ as $\la
Externí odkaz:
http://arxiv.org/abs/1911.01076
Autor:
Papanicolaou, Vassilis G.
We present certain results on the direct and inverse spectral theory of the Jacobi operator with complex periodic coefficients. For instance, we show that any $N$-th degree polynomial whose leading coefficient is $(-1)^N$ is the Hill discriminant of
Externí odkaz:
http://arxiv.org/abs/1909.09206