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Generalized pairs are a natural structure in birational geometry that first appeared in Kodaira’s canonical bundle formula for elliptic fibrations. They were formally introduced by Birkar and Zhang in...
Legendre Pairs are combinatorial objects with a rich 20+ years history. Their main application is that they furnish a structured form of the Hadamard conjecture and they have been studied by several a...
"It’s a kinder, gentler Neptune," says Gemini astronomer Meg Schwamb in describing a new result that leaves little doubt about how Neptune gently swept a class of planetoid pairs into the outer Solar ...
In bacterial photosynthetic reaction centers, ultrafast singlet excited-state energy transfer occurs from the monomeric bacteriochlorophylls, B, and bacteriopheophytins, H, to the homodimer special pa...
MORSE THEORY AND STABLE PAIRS     MORSE THEORY  STABLE PAIRS       2015/12/17
We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A, Φ), where A is a unitary connection on a rank 2 hermitian vector bundle over a compact Riemann surface, and Φ is ...
There may be fewer pairs of supermassive black holes orbiting each other at the cores of giant galaxies than previously thought, according to a new study by astronomers who analyzed data from the Nati...
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T* in the dual graph G* such that T and T* do not intersect. We show that it is not always possible to find T in ...
Much of the material in this talk was presented at the conference in honor of Roger Howe. The slides are available at http://math.mit.edu/conferences/howe/program.php The theme of the talk is to n...
We introduce the category of set-theoretic representations of a matched pair of groupoids. This is a monoidal category endowed with a monoidal functor f` to the category of quivers over the common b...
Exchangeable Pairs and Poisson Approximation。
EXCHANGEABLE PAIRS OF BERNOULLI RANDOM VARIABLES, KRAWTCHOUCK POLYNOMIALS, AND EHRENFEST URNS。
UNSEPARATED PAIRS AND FIXED POINTS IN RANDOM PERMUTATIONS。
To search for low-redshift damped Lyα (DLA) and sub-DLA quasar absorbers, we have conducted a 21 cm absorption survey of radio-loud quasars at small impact parameters to foreground galaxies selected f...
HOUSTON – (Jan. 27, 2014) –Rice University scientists have created a way to interpret interactions among pairs of task-oriented proteins that relay signals. The goal is to learn how the proteins avoid...
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im- portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge- ometry, computational geometry a...

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