104 citations · 630 across the 20 of their papers we have counts for
20 papers
Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane
G. Akemann, T. Nagao, I. Parra +1
We show that several families of classical orthogonal polynomials on the real line are also orthogonal on the interior of an ellipse in the complex plane, subject to a weighted pla…
Multicanonical Monte Carlo Ensemble Growth Algorithm
Graziano Vernizzi, Trung Dac Nguyen, Henri Orland +1
We present a novel Ensemble Monte Carlo Growth method to sample the equilibrium thermodynamic properties of random chains. The method is based on the multicanonical technique of co…
Improved RNA pseudoknots prediction and classification using a new topological invariant
Graziano Vernizzi, Henri Orland, A. Zee
We propose a new topological characterization of RNA secondary structures with pseudoknots based on two topological invariants. Starting from the classic arc-representation of RNA…
Spontaneous chirality via long-range electrostatic forces
Kevin L. Kohlstedt, Francisco Solis, Graziano Vernizzi +1
We consider a model for periodic patterns of charges constrained over a cylindrical surface. In particular we focus on patterns of chiral helices, achiral rings or vertical lamella…
Topological classification of RNA structures
Michael Bon, Graziano Vernizzi, Henri Orland +1
We present a novel topological classification of RNA secondary structures with pseudoknots. It is based on the topological genus of the circular diagram associated to the RNA base-…
The Topology of Pseudoknotted Homopolymers
G. Vernizzi, P. Ribeca, H. Orland +1
We consider the folding of a self-avoiding homopolymer on a lattice, with saturating hydrogen bond interactions. Our goal is to numerically evaluate the statistical distribution of…