Zobrazeno 1 - 10
of 57
pro vyhledávání: '"J. J. P. Veerman"'
Autor:
J. J. P. Veerman
Suppose that the surfaces K0 and Kr are the boundaries of two convex, complete, connectedC2 bodies in R3. Assume further that the (Euclidean) distance between any point x in Krand K0 is always r (r > 0). For x in Kr, let Pi(x) denote the nearest poin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da04aaed4ec76365fa15ac0401ef0516
https://doi.org/10.21203/rs.3.rs-2768955/v1
https://doi.org/10.21203/rs.3.rs-2768955/v1
Autor:
J. J. P. Veerman, Robert Lyons
Publikováno v:
Nonlinear Phenomena in Complex Systems. 23:196-206
We analyze the asymptotic behavior of general first order Laplacian processes on digraphs. The most important ones of these are diffusion and consensus with both continuous and discrete time. We treat diffusion and consensus as dual processes. This i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::445aec739f5ed05f3e253b012fa45c58
https://doi.org/10.33581/1561-4085-2020-23-2-196-206
https://doi.org/10.33581/1561-4085-2020-23-2-196-206
Autor:
J. J. P. Veerman
Publikováno v:
The American Mathematical Monthly. 127:504-517
We review some basic results of convex analysis and geometry in $\mathbb{R}^n$ in the context of formulating a differential equation to track the distance between an observer flying outside a convex set $K$ and $K$ itself.
14 pages, 12 figures
14 pages, 12 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::647e93e865f81796bc98db274004fbc7
https://doi.org/10.1080/00029890.2020.1743596
https://doi.org/10.1080/00029890.2020.1743596
Autor:
J. J. P. Veerman, R. G. Lyons
Publikováno v:
The European Physical Journal B. 94
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dccd00d20a17428a557669af93c3a3c0
https://doi.org/10.1140/epjb/s10051-021-00163-2
https://doi.org/10.1140/epjb/s10051-021-00163-2
Autor:
J. J. P. Veerman, Ewan Kummel
Publikováno v:
Linear Algebra and its Applications. 578:184-206
Let $G$ be a weakly connected directed graph with asymmetric graph Laplacian ${\cal L}$. Consensus and diffusion are dual dynamical processes defined on $G$ by $\dot x=-{\cal L}x$ for consensus and $\dot p=-p{\cal L}$ for diffusion. We consider both
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9196a97bf127f22763b102735688baaf
https://doi.org/10.1016/j.laa.2019.05.014
https://doi.org/10.1016/j.laa.2019.05.014
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d0edc4fb6d036c743c8b3514fce3a78
Autor:
J. J. P. Veerman
Publikováno v:
The American Mathematical Monthly. 125:724-732
Since the 1940's there has been an interest in the question why social networks often give rise to two antagonistic factions. Recently a dynamical model of how and why such a balance might occur was developed. This note provides an introduction to th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2039b34639b29896444733c08e2e27b7
https://doi.org/10.1080/00029890.2018.1498684
https://doi.org/10.1080/00029890.2018.1498684
Publikováno v:
Linear Algebra and its Applications. 548:123-147
We characterize the eigenvalues and eigenvectors of a class of complex valued tridiagonal n by n matrices subject to arbitrary boundary conditions, i.e. with arbitrary elements on the first and last rows of the matrix. For large n, we show there are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d7062a237c06477845a752cbd9bdf2d
https://doi.org/10.1016/j.laa.2018.03.005
https://doi.org/10.1016/j.laa.2018.03.005
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 42:837-845
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83d7c208d83d9cac6fae1ab3d780cad7
https://doi.org/10.5186/aasfm.2017.4251
https://doi.org/10.5186/aasfm.2017.4251
Autor:
J. J. P. Veerman, Pablo E. Baldivieso
In this article, we give necessary conditions for the stability of coupled autonomous vehicles in $\mathbb {R}$ . We focus on linear arrays with decentralized vehicles, where each vehicle interacts with only a few of its neighbors. We obtain explicit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b96eed6bf7217c25bc8c6c559f9ed48