# Gromov’s Non-squeezing Theorem and Optics

In his "Mathematical Curiosities" column, Mark Levi discusses a remarkable theorem discovered by Gromov.

Subscribe
Search
$(function() {
if (typeof dnn != "undefined" && typeof dnn.searchSkinObject != "undefined") {
var searchSkinObject = new dnn.searchSkinObject({
delayTriggerAutoSearch : 400,
minCharRequiredTriggerAutoSearch : 2,
searchType: 'S',
enableWildSearch: true,
cultureCode: 'en-US',
portalId: -1
}
);
searchSkinObject.init();
// attach classic search
var siteBtn = $('#dnn_dnnSEARCH_SiteRadioButton');
var webBtn = $('#dnn_dnnSEARCH_WebRadioButton');
var clickHandler = function() {
if (siteBtn.is(':checked')) searchSkinObject.settings.searchType = 'S';
else searchSkinObject.settings.searchType = 'W';
};
siteBtn.on('change', clickHandler);
webBtn.on('change', clickHandler);
}
});

In his "Mathematical Curiosities" column, Mark Levi discusses a remarkable theorem discovered by Gromov.

Symplectic geometry, which traces its origins to the work of Poincaré on Hamiltonian systems, has reached a high level of abstraction.

In his recurring column on *Mathematical Curiosities*, Mark Levi discusses an interesting result proved by Jürgen Moser.

In his recurring column, Mark Levi presents a very short geometrical proof of the tautochronous property of the cycloid.

Mark Levi presents a solution that is shorter than Johann Bernoulli’s famous optics-based idea of minimizing an integral.

“Experimental mathematics” recently emerged as a competing paradigm for research in the math. sciences.

The finite element method is one of the most powerful techniques for the simulation of the physical world.

SIAM Publications Manager Mitch Chernoff interviews Tim Kelley, *SIAM Review* Editor-in-Chief.

Des Higham, section editor of *SIAM Review*, recaps the "Survey and Review" paper in the September 2014 issue.

Jeremy Kozdon discusses his collaborative work in dynamic rupture modeling of the Tohoku earthquake.

Mark Levi describes a connection between two distinct objects: the stationary Schrödinger equation and “bicycle tracks.”