✦ LIBER ✦

On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus

✍ Scribed by Jean Bourgain; Zeév Rudnick

Publisher: Springer
Year: 2011
Tongue: English
Weight: 469 KB
Volume: 12
Category: Article
ISSN: 1424-0637
DOI: 10.1007/s00023-011-0098-z

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Volume of Nodal Sets for Eigenfun

On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus

✍ Zeév Rudnick; Igor Wigman 📂 Article 📅 2008 🏛 Springer 🌐 English ⚖ 302 KB

On the nodal line of the second eigenfun

On the nodal line of the second eigenfunction of an inhomogeneous membrane

✍ T. Kappeler; B. Ruf 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 526 KB

On the nodal behaviour of eigenfunctions

✍ H.J. Korsch 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 363 KB

A numerical existence proof of nodal lin

A numerical existence proof of nodal lines for the first eigenfunction of the plate equation

✍ Christian Wieners 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 458 KB

Coding of a translation of the two-dimen

Coding of a translation of the two-dimensional torus

✍ Nicolas Chevallier 📂 Article 📅 2008 🏛 Springer Vienna 🌐 English ⚖ 946 KB

Graphs on the Torus and Geometry of Numb

Graphs on the Torus and Geometry of Numbers

✍ A. Schrijver 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 424 KB

We show that if \(G\) is a graph embedded on the torus \(S\) and each nonnullhomotopic closed curve on \(S\) intersects \(G\) at least \(r\) times, then \(G\) contains at least \(\left\lfloor\frac{3}{4} r\right\rfloor\) pairwise disjoint nonnullhomotopic circuits. The factor \(\frac{3}{4}\) is best