Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations. - Mark Levi; Warren Weckesser (SIAM Rev., 1995)

Minimal Perimeter Triangles. - Mark Levi (Am. Math. Mon., 2002)

Geometry of vibrational Stabilization and Some Applications. - Mark Levi (Int. J. Bifurc. Chaos, 2005)

Riemann Mapping Theorem by Steepest Descent. - Mark Levi (Am. Math. Mon., 2007)

The Poncelet Grid and Billiards in Ellipses. - Mark Levi; Serge Tabachnikov (Am. Math. Mon., 2007)

Geometry of Arnold Diffusion. - Vadim Kaloshin; Mark Levi (SIAM Rev., 2008)

On Bicycle Tire Tracks Geometry, Hatchet Planimeter, Menzin's Conjecture, and Oscillation of Unicycle Tracks. - Mark Levi; Serge Tabachnikov (Exp. Math., 2009)

Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture. - Robert Foote; Mark Levi; Serge Tabachnikov (Am. Math. Mon., 2013)

Alphabet size selection for symbolization of dynamic data-driven systems: An information-theoretic approach. - Soumalya Sarkar; Pritthi Chattopadhyay; Asok Ray; Shashi Phoha; Mark Levi (ACC, 2015)

A Water-Based Proof of the Cauchy-Schwarz Inequality. - Mark Levi (Am. Math. Mon., 2020)

A Communicating-Vessels Proof of Hölder's Inequality. - Mark Levi; Tadashi Tokieda (Am. Math. Mon., 2021)