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16 papers · 1 filter
A remark on cuspidal local systems
Victor Ostrik
In this note we show that all reductive groups are clean in odd characteristic. In characteristic 2 there are two cuspidal local systems (one for and one for ) which can…
(Lack of) lensing constraints on cluster dark matter profiles
Neal Dalal, Charles R. Keeton
Using stellar dynamics and strong gravitational lensing as complementary probes, Sand et al. (2002, 2003) have recently claimed strong evidence for shallow dark matter density prof…
The minimal spanning tree and the upper box dimension
Gady Kozma, Zvi Lotker, Gideon Stupp
We show that the alpha-weight of an MST over n points in a metric space with upper box dimension d has a bound independent of n if alpha is smaller than d and does not have one if…
Waiting for a bat to fly by (in polynomial time)
Itai Benjamini, Gady Kozma, Laszlo Lovasz +2
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans…
Effects of Planetesimal Dynamics on the Formation of Terrestrial Planets
Roman R. Rafikov
Formation of terrestrial planets by agglomeration of planetesimals in protoplanetary disks sensitively depends on the velocity evolution of planetesimals. We describe a novel semi-…
Maximal Theorems for the Directional Hilbert Transform on the Plane
Michael T Lacey, Xiaochun Li
For a Schwartz function on the plane and a non-zero $v\in\ZR^2$ define the Hilbert transform of in the direction to be $$ H_vf(x)=\text{p.v.}\int_\ZR f(x-vy) \frac{dy}y…