51 citations
- California Southern UniversityUS1 paper
- Hebrew University of JerusalemIL1 paper
- Rutgers, The State University of New JerseyUS1 paper
- The Ohio State UniversityUS1 paper
- University of AlbertaCA1 paper
- University of BirminghamGB1 paper
- University of California, Los AngelesUS1 paper
- University of California SystemUS1 paper
- University of EdinburghGB1 paper
- University of Southern CaliforniaUS1 paper
5 papers
Model theoretic stability and categoricity for complete metric spaces
Saharon Shelah, Alex Usvyatsov
We deal with the systematic development of stability for the context of approximate elementary submodels of a monster metric space, which is not far, but still very distinct from t…
The Brascamp-Lieb inequalities: finiteness, structure, and extremals
Jonathan Bennett, Anthony Carbery, Michael Christ +1
We consider the Brascamp--Lieb inequalities concerning multilinear integrals of products of functions in several dimensions. We give a complete treatment of the issues of finitenes…
A nonlocal continuum model for biological aggregation
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimen…
Mean-field driven first-order phase transitions in systems with long-range interactions
Marek Biskup, Lincoln Chayes, Nicholas Crawford
We consider a class of spin systems on with vector valued spins $(\bS_x)$ that interact via the pair-potentials $J_{x,y} \bS_x\cdot\bS_y$. The interactions are generally spr…
Halo Luminosity Function From Photometric Calibration of the Revised NLTT
Andrew Gould, Juna A. Kollmeier, Julio Chaname +1
We calibrate the photographic photometry of the revised New Luyten Two-Tenths catalog (rNLTT) by matching 3448 rNLTT stars to the Sloan Digital Sky Survey (SDSS). The correction is…