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10 papers · 1 filter
The Fundamental Problem with the Building Block Hypothesis
Keki Burjorjee
Skepticism of the building block hypothesis (BBH) has previously been expressed on account of the weak theoretical foundations of this hypothesis and the anomalies in the empirical…
Subleading-color contributions to gluon-gluon scattering in N=4 SYM theory and relations to N=8 supergravity
Stephen G. Naculich, Horatiu Nastase, Howard J. Schnitzer
We study the subleading-color (nonplanar) contributions to the four-gluon scattering amplitudes in N=4 supersymmetric SU(N) Yang-Mills theory. Using the formalisms of Catani and of…
Diophantine Exponents of Affine Subspaces: The Simultaneous Approximation Case
Yuqing Zhang
We apply nondivergence estimates for flows on homogeneous spaces to compute Diophantine exponents of affine subspaces of and their nondegenerate submanifolds.
Contributions to Seymour's Second Neighborhood Conjecture
James N. Brantner, Greg Brockman, Bill Kay +1
Let D be a simple digraph without loops or digons. For any v in V(D) let N_1(v) be the set of all nodes at out-distance 1 from v and let N_2(v) be the set of all nodes at out-dista…
On knots with infinite smooth concordance order
Adam Simon Levine
We use the Heegaard Floer obstructions defined by Grigsby, Ruberman, and Strle to show that forty-six of the sixty-seven knots through eleven crossings whose concordance orders wer…
New examples of p-adically rigid automorphic forms
Joel Bellaiche
We give examples of cohomological automorphic forms for unitary groups which are -adically rigid.