Zobrazeno 1 - 10
of 438
pro vyhledávání: '"Veerman, A J P"'
Measuring the concentration of random variables is a fundamental concept in probability and statistics. Here, we explore a type of concentration measure for continuous random variables with bounded support and use it to provide a notion of stochastic
Externí odkaz:
http://arxiv.org/abs/2406.02894
A minimal separating set in a connected topological space $X$ is a subset $L \subset X$ with the property that $X \setminus L$ is disconnected, but if $L^{\prime}$ is a proper subset of $L$, then $X \setminus L^{\prime}$ is connected. Such sets show
Externí odkaz:
http://arxiv.org/abs/2312.02357
Autor:
Veerman, J. J. P.
Publikováno v:
Journal of Geometry, 2023
Suppose that the surfaces K0 and Kr are the boundaries of two convex, complete, connected C^2 bodies in R^3. Assume further that the (Euclidean) distance between any point x in Kr and K0 is always r (r > 0). For x in Kr, let {\Pi}(x) denote the neare
Externí odkaz:
http://arxiv.org/abs/2309.05808
Autor:
Fox, Logan S., Veerman, J. J. P.
We examine properties of equidistant sets determined by nonempty disjoint compact subsets of a compact 2-dimensional Alexandrov space (of curvature bounded below). The work here generalizes many of the known results for equidistant sets determined by
Externí odkaz:
http://arxiv.org/abs/2205.09155
Autor:
Fish, C. A., Veerman, J. J. P.
We present evidence that the Bak-Sneppen model of evolution on $N$ vertices requires $N^3$ iterates to reach equilibrium. This is substantially more than previous authors suggested (on the order of $N^2$). Based on that estimate, we present a novel a
Externí odkaz:
http://arxiv.org/abs/2111.10473
We derive and prove an explicit formula for the sum of the fractional parts of certain geometric series. Although the proof is straightforward, we have been unable to locate any reference to this result. This summation formula allows us to efficientl
Externí odkaz:
http://arxiv.org/abs/2109.06844
We challenge the current thinking and approach to the design of photonic integrated circuits (PICs) for applications in communications, quantum information and sensing. The standard PICs are based on directional couplers, that provide a wide range of
Externí odkaz:
http://arxiv.org/abs/2108.00928
Autor:
Lyons, R., Veerman, J. J. P.
This paper analyzes the global dynamics of 1-dimensional agent arrays with nearest neighbor linear couplings. The equations of motion are second order linear ODEs with constant coeffcients. The novel part of this research is that the couplings are di
Externí odkaz:
http://arxiv.org/abs/2102.09020
The study of the dynamics of chemical reactions, and in particular phenomena such as oscillating reactions, has led to the recognition that many dynamical properties of a chemical reaction can be predicted from graph theoretical properties of a certa
Externí odkaz:
http://arxiv.org/abs/2010.12982
We study statistical properties of the truncated flat spot map $f_t(x)$. In particular, we investigate whether for large $n$, the deviations $\sum_{i=0}^{n-1} \left(f_t^i(x_0)-\frac 12\right)$ upon rescaling satisfy a $Q$-Gaussian distribution if $x_
Externí odkaz:
http://arxiv.org/abs/2010.00155