99 citations · 460 across the 54 of their papers we have counts for
56 papers
Failure of Strong Convergence of Matrices with Fermionic Entries
Dimitri Shlyakhtenko
Let be an matrices with entries satisfying CAR, normalized to have variance with respect to the trace of the CAR algebra. We show that, althoug…
A Free Analog of Bobkov's Gaussian Isoperimetry Inequality
Dimitri Shlyakhtenko
We prove a one-variable functional inequality which is the free probability analog of Bobkov's isoperimetry inequality. The inequality involves the norm of the difference quo…
Establishing strong 1-boundedness via non-microstates free entropy techniques
Benjamin Major, Dimitri Shlyakhtenko
We show that, for many choices of finite tuples of generators of a tracial von Neumann algebra satisfying certain decomposition properties (non-pr…
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…
Spin Lefschetz fibrations are abundant
Mihail Arabadji, R. Inanc Baykur
We prove that any finitely presented group can be realized as the fundamental group of a spin Lefschetz fibration over the 2-sphere. We moreover show that any admissible lattice po…
Rank growth of elliptic curves in and quartic extensions of the rationals
Daniel Keliher
We investigate the rank growth of elliptic curves from to and quartic extensions . In particular, we are interested in the quantity $\mathrm{…