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Showing 2024Show all
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math.LO2024
Complexity of Finite Borel Asymptotic Dimension
Jan Grebík, Cecelia Higgins
We show that the set of locally finite Borel graphs with finite Borel asymptotic dimension is -complete. The result is based on a combinatorial characterization of fi…
math.GR2024
A hyperbolic free-by-cyclic group determined by its finite quotients
Naomi Andrew, Paige Hillen, Robert Alonzo Lyman +1
We show that the group is profinitely rigid amongst free-by-cyclic groups, providing the first example of a hyperbolic free-by-c…
astro-ph.GA2024★ 4 cited
Massive star cluster formation III. Early mass segregation during cluster assembly
Brooke Polak, Mordecai-Mark Mac Low, Ralf S. Klessen +6
Mass segregation is seen in many star clusters, but whether massive stars form in the center of a cluster or migrate there dynamically is still debated. N-body simulations have sho…