644 citations
- Princeton Plasma Physics LaboratoryUS10 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Laboratoire de Physique ThéoriqueFR7 papers
- Columbia UniversityUS6 papers
- New York UniversityUS6 papers
- University of California, BerkeleyUS6 papers
- Tel Aviv UniversityIL5 papers
- University of British ColumbiaCA5 papers
- National High Magnetic Field LaboratoryUS4 papers
- Courant Institute of Mathematical SciencesUS3 papers
- ETH ZurichCH3 papers
- Harvard UniversityUS3 papers
9 papers · 1 filter
Computation in a single neuron: Hodgkin and Huxley revisited
Blaise Aguera y Arcas, Adrienne L. Fairhall, William Bialek
A spiking neuron ``computes'' by transforming a complex dynamical input into a train of action potentials, or spikes. The computation performed by the neuron can be formulated as d…
On Ising and dimer models in two and three dimensions
R. Moessner, S. L. Sondhi
Motivated by recent interest in 2+1 dimensional quantum dimer models, we revisit Fisher's mapping of two dimensional Ising models to hardcore dimer models. First, we note that the…
Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles: Announcement of Results
Jinho Baik, Thomas Kriecherbauer, Ken T. -R. McLaughlin +1
We compute the pointwise asymptotics of orthogonal polynomials with respect to a general class of pure point measures supported on finite sets as both the number of nodes of the me…
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…
Non-linear partial differential equations in conformal geometry
Sun-Yung Alice Chang, Paul C. Yang
In the study of conformal geometry, the method of elliptic partial differential equations is playing an increasingly significant role. Since the solution of the Yamabe problem, a f…
Equidistribution of Kronecker sequences along closed horocycles
Jens Marklof, Andreas Strombergsson
It is well known that (i) for every irrational number the Kronecker sequence () is equidistributed modulo one in the limit , and (ii) closed horocyc…