We present a general theory which allows one to accurately evaluate the mean first-passage
time (FPT) for regular random walks in bounded domains, and its extensions to related first …

Networks are mathematical structures that are universally used to describe a large variety of
complex systems such as the brain or the Internet. Characterizing the geometrical properties …

A non-Euclidean plate is a thin elastic object whose intrinsic geometry is not flat and hence
has residual stresses arising from being embedded in three dimensional space. Recently …

We study the buckling of thin elastic plates caused by residual strains concentrated near a
free edge. This is a model for plant leaves and torn plastic sheet morphologies. We derive …

We have measured the multiscale wrinkling that occurs along the edge of torn plastic sheets.
The plastic deformations produced by tearing define a new metric on the sheet, which then …

In this paper, we introduce a general computation method to systematically determine the
mean first-passage time (MFPT), the global mean first-passage time (GMFPT) and splitting …

Recent experiments have imposed controlled swelling patterns on thin polymer films, which
subsequently buckle into three-dimensional shapes. We develop a solution to the design …

We examine a novel mechanism for active surface morphing inspired by the cell body
deformations of euglenids. Actuation is accomplished through in-plane simple shear along …

During morphogenesis, the shape of living species results from growth, stress relaxation,
and remodeling. When the growth does not generate any stress, the body shape only …

We present the first quantitative measurements of shape and energy variation in non-
Euclidean plates. Using environmentally responsive gel, we construct non-Euclidean disks …