528 citations
- Courant Institute of Mathematical SciencesUS36 papers
- Princeton UniversityUS14 papers
- University of WashingtonUS8 papers
- Fermi National Accelerator LaboratoryUS7 papers
- Johns Hopkins UniversityUS7 papers
- École Polytechnique Fédérale de LausanneCH6 papers
- European Organization for Nuclear ResearchCH6 papers
- University of California, DavisUS6 papers
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- Massachusetts Institute of TechnologyUS5 papers
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- University of ArizonaUS5 papers
8 papers · 1 filter
Analyzing neural responses to natural signals: Maximally informative dimensions
Tatyana Sharpee, Nicole C. Rust, William Bialek
We propose a method that allows for a rigorous statistical analysis of neural responses to natural stimuli which are non-Gaussian and exhibit strong correlations. We have in mind a…
The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
Tobias H. Colding, William P. Minicozzi
This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]-[CM5] we desc…
The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected
Tobias H. Colding, William P. Minicozzi
This paper is the fourth in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. The key is to underst…
The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks
Tobias H. Colding, William P. Minicozzi
This paper is the first in a series where we attempt to give a complete description of the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed R…
The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks
Tobias H. Colding, William P. Minicozzi
This paper is the second in a series where we attempt to give a complete description of the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed…
Derivation of the Euler equations from many-body quantum mechanics
Bruno Nachtergaele, Horng-Tzer Yau
The Heisenberg dynamics of the energy, momentum, and particle densities for fermions with short-range pair interactions is shown to converge to the compressible Euler equations in…