2005

Exact Asymptotic Results for a Model of Sequence Alignment

Satya Majumdar 1, Sergei K. Nechaev 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 72 (2005) 020901 Finding analytically the statistics of the longest common subsequence (LCS) of a pair of random sequences drawn from c alphabets is a challenging problem in computational evolutionary biology. We present exact asymptotic results for the distribution of the LCS in a […]

Exact Asymptotic Results for a Model of Sequence Alignment Lire la suite »

Equilibrium statistics of a slave estimator in Langevin processes

David S. Dean 1, 2, Ian T. Drummond 1, Ron R. Horgan 1, Satya Majumdar 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 71 (2005) 031103 We analyze the statistics of an estimator, denoted by xi_t and referred to as the slave, for the equilibrium susceptibility of a one dimensional Langevin process x_t in a potential phi(x). The susceptibility can be measured by

Equilibrium statistics of a slave estimator in Langevin processes Lire la suite »

Diatomic molecules in ultracold Fermi gases – Novel composite bosons

D. S. Petrov 1, C. Salomon 2, G. V. Shlyapnikov 3, 4 Journal of Physics B 38 (2005) S645-S660 We give a brief overview of recent studies of weakly bound homonuclear molecules in ultracold two-component Fermi gases. It is emphasized that they represent novel composite bosons, which exhibit features of Fermi statistics at short intermolecular distances. In particular, Pauli exclusion principle for

Diatomic molecules in ultracold Fermi gases – Novel composite bosons Lire la suite »

Dephasing due to electron-electron interaction in a diffusive ring

Christophe Texier 1, 2, Gilles Montambaux 2 Physical Review B 72 (2005) 115327 We study the effect of the electron-electron interaction on the weak localization correction of a ring pierced by a magnetic flux. We compute exactly the path integral giving the magnetoconductivity for an isolated ring. The results are interpreted in a time representation. This allows to characterize the

Dephasing due to electron-electron interaction in a diffusive ring Lire la suite »

Conformal Geometry and Invariants of 3-strand Brownian Braids

Sergei K. Nechaev 1, Raphael Voituriez 2 Nuclear Physics B 714 (2005) 336-356 We propose a simple geometrical construction of topological invariants of 3-strand Brownian braids viewed as world lines of 3 particles performing independent Brownian motions in the complex plane z. Our construction is based on the properties of conformal maps of doubly-punctured plane z to the universal covering

Conformal Geometry and Invariants of 3-strand Brownian Braids Lire la suite »

Retour en haut