781 citations
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37 papers · 1 filter
Narrow Escape, Part II: The circular disk
A. Singer, Z. Schuss, D. Holcman
We consider Brownian motion in a circular disk , whose boundary $\pΩ$ is reflecting, except for a small arc, $\pΩ_a$, which is absorbing. As decr…
Narrow Escape, Part I
A. Singer, Z. Schuss, D. Holcman +1
A Brownian particle with diffusion coefficient is confined to a bounded domain of volume in $\rR^3$ by a reflecting boundary, except for a small absorbing window. The mean…
Photonic quasicrystals for general purpose nonlinear optical frequency conversion
Ron Lifshitz, Ady Arie, Alon Bahabad
We present a general method for the design of 2-dimensional nonlinear photonic quasicrystals that can be utilized for the simultaneous phase-matching of arbitrary optical frequency…
Lagrangian Non-Intersections
Paul Biran
In this paper we use Floer theory to study topological restrictions on Lagrangian embeddings in closed symplectic manifolds. One of the phenomena arising from our results is ``homo…
Systematic identification of abundant A-to-I editing sites in the human transcriptome
Erez Y. Levanon, Eli Eisenberg, Rodrigo Yelin +10
RNA editing by members of the double-stranded RNA-specific ADAR family leads to site-specific conversion of adenosine to inosine (A-to-I) in precursor messenger RNAs. Editing by AD…
Stabilization of three-dimensional matter-waves solitons in an optical lattice
M. Trippenbach, M. Matuszewski, B. A. Malomed
We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal…