We measure a sign interlacing phenomenon for Bessel sequences (uk) in L2 spaces terms of the Kantorovich–Rubinstein mass moving norm ‖uk‖KR. Our main observation shows that, quantitatively, rate at which ‖uk‖KR→0 heavily depends on Bernstein–Kolmogorov widths compact set Lipschitz functions. In particular, it dimension space. also establish lower bound convergence norms ‖uk‖X→0 basis/frame any ...

We construct a family of K\"ahler-Einstein edge metrics on all Hirzebruch surfaces using the Calabi ansatz and study their angle deformation. This allows us to verify in some special cases conjecture Cheltsov-Rubinstein that predicts convergence towards non-compact Calabi-Yau fibration small limit. also give an example metric whose singularity is rigid, answering question posed by Cheltsov.

In this paper, we give an analytic proof of the asymptotic behavior moments characteristic polynomials random symplectic and orthogonal matrices. We therefore obtain alternate, integral expressions for leading order coefficients previously found by Assiotis, Bailey Keating. also discuss conjectures Keating corresponding [Formula: see text]-functions with symmetry. Specifically, show that these ...

We show if M is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus g then g ≥ 1 2 cosh(r) where r denotes the radius of any isometrically embedded ball in M . Assuming an unpublished result of Pitts and Rubinstein improves this to g ≥ 1 2 cosh(r) + 1 2 . We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperim...

Submitters: Albert A. Dietz, Herbert M. Rubinstein, and Tina Lubrano, Research and Medical Services, VA Hospital, Hines, III. 60141; and Departments of Biochemistry and Medicine, Loyola University Stritch School of Medicine, Maywood, III. 60153 Evaluators: Philip J. Garry, Department of Pediatrics, Children’s Hospital, Ohio State University, Columbus, Ohio 43205 Frank Madera-Orsini, Biochemistr...

The Rubinstein-Duke model for polymer reptation is analyzed by means of density matrix renormalization techniques. It is found that the crossover in the scaling behavior of polymer renewal time (or viscosity) arises from the competing effect of the contribution due to tube length fluctuations and higher-order corrections, which are of opposite sign. Experiments which ought to emphasize both con...