579 citations
- Uppsala UniversitySE16 papers
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53 papers
Universality of Top Rank Statistics for Brownian Reshuffling
Zdzislaw Burda, Mario Kieburg
We study the dynamical aspects of the top rank statistics of particles, performing Brownian motions on a half-line, which are ranked by their distance from the origin. For this pur…
Average mutual information for random fermionic Gaussian quantum states
Lucas Hackl, Mario Kieburg, Joel Maldonado
Studying the typical entanglement entropy of a bipartite system when averaging over different ensembles of pure quantum states has been instrumental in different areas of physics,…
Calogero type bounds in two dimensions
Ari Laptev, Larry Read, Lukas Schimmer
For a Schrödinger operator on the plane with electric potential and Aharonov--Bohm magnetic field we obtain an upper bound on the number of its negative eigenval…
Branches, quivers, and ideals for knot complements
Tobias Ekholm, Angus Gruen, Sergei Gukov +4
We generalize the invariant, i.e. for the complement of a knot in the 3-sphere, the knots-quivers correspondence, and -polynomials of knots, and find sev…
A Sharp Lieb-Thirring Inequality for Functional Difference Operators
Ari Laptev, Lukas Schimmer
We prove sharp Lieb-Thirring type inequalities for the eigenvalues of a class of one-dimensional functional difference operators associated to mirror curves. We furthermore prove t…
Chekanov-Eliashberg dg-algebras for singular Legendrians
Johan Asplund, Tobias Ekholm
The Chekanov-Eliashberg dg-algebra is a holomorphic curve invariant associated to Legendrian submanifolds of a contact manifold. We extend the definition to Legendrian embeddings o…