In this review, we provide an organized summary of the theoretical and computational
results that are available for polymers subject to spatial or topological constraints. Because …

Topological entanglement in polymers and biopolymers is a topic that involves different
fields of science such as chemistry, biology, physics, and mathematics. One of the main …

Self-avoiding walks, lattice trees, and related geometrical models provide a link between the
physics of polymers and the study of critical phenomena. In particular, these models in the …

The prediction and interpretation of conformational properties of branched polymers is
difficult, due to the complexity and variety of these structures. Numerical simulations are …

We present large statistics simulations of 3-dimensional star polymers with up to f= 80 arms
and with up to 4000 monomers per arm for small values of f. They were done for the Domb …

We study the equilibrium shapes of prime and composite knots confined to two dimensions.
Using scaling arguments we show that, due to self-avoiding effects, the topological details of …

Given a finite planar graph, a grove is a spanning forest in which every component tree
contains one or more of a specified set of vertices (called nodes) on the outer face. For the …

Using monomer-resolved molecular dynamics simulations and theoretical arguments based
on the radial dependence of the osmotic pressure in the interior of a star, we systematically …

We consider polymer networks of arbitrary but fixed topology. We prove the multiplicative
renormalizability of these networks in terms of their star-like vertices by relating it to special …

We analyze the effective triplet interactions between the centers of star polymers in a good
solvent. Using an analytical short-distance expansion inspired by scaling theory, we deduce …