Combining physics, mathematics and computer science, topological quantum computation
is a rapidly expanding research area focused on the exploration of quantum evolutions that …

In this work we discuss some problems of polymer physics which require use of the
geometrical and topological methods for their solution. Selection of problems is made to …

The size of a zero-thickness (no excluded volume) nonphantom polymer ring is shown to
scale with chain length N in the same way as the size of the excluded-volume (self-avoiding) …

The detection of coherent structures is an important problem in fluid dynamics, particularly in
geophysical applications. For instance, knowledge of how regions of fluid are isolated from …

In many applications, the two-dimensional trajectories of fluid particles are available, but
little is known about the underlying flow. Oceanic floats are a clear example. To extract …

A single polymer macromolecule is considered with disorder types such as branches, knots,
and heterogeneous sequences of chemical units. In all cases, simple theoretical …

Using a general Green function formulation, we re-derive, both (i) Spitzer and his followers
results for the winding angle distribution of the planar Brownian motion, and (ii) Edwards …

Many spherelike RNA viruses package a portion of their genome in a manner that mirrors
the icosahedral symmetry of the protein container, or capsid. Graph-theoretical constraints …

The study of knots and links from a probabilistic viewpoint provides insight into the behavior
of “typical” knots, and opens avenues for new constructions of knots and other topological …

A well-known conjecture in knot theory says that the proportion of hyperbolic knots among
all of the prime knots of or fewer crossings approaches as approaches infinity. In this article …