We prove a structure theorem for pseudo-Anosov flows restricted to Seifert fibered pieces of three manifolds. The piece is called periodic if there fibration so that regular fiber freely homotopic, up powers, closed orbit the flow. A non free. In previous paper [Ba-Fe1] we described flow isotopy along present consider free pieces. show that, in carefully defined neighborhood piece, orbitally eq...

We investigate the homogenization limit of a free boundary problem with space-dependent free boundary velocities. The problem under consideration has a well-known obstacle problem transformation, formally obtained by integrating with respect to the time variable. By making rigorous the link between these two problems, we are able to derive an explicit formula for the homogenized free boundary v...

The computational modeling of peptide inhibitors to target protein-protein binding interfaces is growing in interest as these are often too large, too shallow, and too feature-less for conventional small molecule compounds. Here, we present a rare successful application of an alchemical binding free energy method for the calculation of converged absolute binding free energies of a series of pro...

We investigate the homogenization limit of a free boundary problem with space-dependent free boundary velocities. The problem under consideration has a well-known obstacle problem transformation, formally obtained by integrating with respect to the time variable. By making rigorous the link between these two problems, we are able to derive an explicit formula for the homogenized free boundary v...

Two families of derivative free two-point iterative methods for solving nonlinear equations are constructed. These methods use a suitable parametric function and an arbitrary real parameter. It is proved that the first family has the convergence order four requiring only three function evaluations per iteration. In this way it is demonstrated that the proposed family without memory supports the...

In this article we introduce the concepts of lacunary Iconvergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.

A class of free-discontinuity problems is approximated in the sense of Γ-convergence by a sequence of non-local integral functionals.

We study the high temperature (or small inverse $\beta$) expansion of free energy double scaled SYK model. find that this is a convergent series with finite radius convergence. It turns out convergence determined by first zero partition function on imaginary $\beta$-axis. also show semi-classical obtained from saddle point approximation exact result consistent energy.

Title of dissertation: Equilibrium free energies from nonequilibrium simulations: Improving convergence by reducing dissipation Suriyanarayanan Vaikuntanathan, Doctor of Philosophy, 2011 Dissertation directed by: Professor Christopher Jarzynski Department of Chemistry and Biochemistry Institute for Physical Science and Technology The estimation of equilibrium free energy differences is an impor...