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- Michael Bon, G. Vernizzi, Henri Orland, A. Zee
- Journal of molecular biology
- 2008

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-pair structure. Theâ€¦ (More)

- G. Vernizzi, Henri Orland, A. Zee
- Physical review letters
- 2005

We enumerate the number of RNA contact structures according to their genus, i.e., the topological character of their pseudoknots. By using a recently proposed matrix model formulation for the RNAâ€¦ (More)

We uncover a surprising correspondence between a non-perturbative formulation of three-dimensional Lorentzian quantum gravity and a hermitian two-matrix model with ABAB-interaction. The gravitationalâ€¦ (More)

The asymmetric ABAB-matrix model describes the transfer matrix of three-dimensional Lorentzian quantum gravity. We study perturbatively the scaling of the ABABmatrix model in the neighbourhood of itsâ€¦ (More)

- Megan A. Greenfield, Liam C Palmer, G. Vernizzi, MÃ³nica Olvera de la Cruz, Samuel I. Stupp
- Journal of the American Chemical Society
- 2009

Amphiphilic molecules can form closed-shell structures that are determined by competing attractive and repulsive forces. Since supramolecular shape has its roots in intermolecular interactions, theâ€¦ (More)

We consider a class of multi-matrix models with an action which is O(D)-invariant, where D is the number of N Ã— N Hermitian matrices XÎ¼, Î¼ = 1, . . . , D. The action is a function of all theâ€¦ (More)

We consider a generalization of the fixed and bounded trace ensembles introduced by Bronk and Rosenzweig up to an arbitrary polynomial potential. In the large-n limit we prove that the two areâ€¦ (More)

- Kevin L Kohlstedt, Francisco J. Solis, G. Vernizzi, MÃ³nica Olvera de la Cruz
- Physical review letters
- 2007

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 lamellae, with theâ€¦ (More)

- Rastko Sknepnek, G. Vernizzi, MÃ³nica Olvera de la Cruz
- Physical review letters
- 2011

We demonstrate that small charged nanocages can undergo reversible changes of shapes by modifying the ionic conditions including salt concentration, pH, and dielectric permittivity of the medium.â€¦ (More)

- Marc Michael Del Rosario Lim, Yuri S. Velichko, Monica Olvera de la Cruz, G. Vernizzi
- The journal of physical chemistry. B
- 2008

We investigate the formation of charged patterns on the surface of cylindrical micelles from co-assembled cationic and anionic amphiphiles. The competition between the net incompatibility chi (whichâ€¦ (More)