Search
Search Results
-
Conformal upper bounds for the volume spectrum
In this paper, we prove upper bounds for the volume spectrum of a Riemannian manifold that depend only on the volume, dimension and a conformal...
-
Upper Bounds for Volumes of Generalized Hyperbolic Polyhedra and Hyperbolic Links
Call a polyhedron in a three-dimensional hyperbolic space generalized if finite, ideal, and truncated vertices are admitted. By Belletti’s theorem...
-
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End
We investigate heat kernel estimates of the form p t ( x , x ) ≥ c x t − α , for large enough t , where α and c x are positive reals and c x may depend on x , on...
-
Lower Bounds for Column Matrix Approximations
AbstractWe show a connection between lower and upper bounds on the column matrix approximation accuracy and the bounds on the norms of the...
-
Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees
We derive Gaussian heat kernel bounds on graphs with respect to a fixed origin for large times under the assumption of a Sobolev inequality and...
-
Entropy Bounds for Self-Shrinkers with Symmetries
In this work we derive explicit entropy bounds for two classes of closed self-shrinkers: the class of embedded closed self-shrinkers recently...
-
Bounds for theta sums in higher rank. II
In the first paper of this series we established new upper bounds for multi-variable exponential sums associated with a quadratic form. The present...
-
Lorentzian Area and Volume Estimates for Integral Mean Curvature Bounds
In the present paper we establish area and volume estimates for spacetimes satisfying the strong energy condition in terms of the area and the...
-
Homology bounds for hyperbolic orbifolds
We will provide bounds on both the Betti numbers and the torsion part of the homology of hyperbolic orbifolds. These bounds are linear in the volume...
-
Tighter Bounds on Transient Moments of Stochastic Chemical Systems
The use of approximate solution techniques for the Chemical Master Equation is a common practice for the analysis of stochastic chemical systems....
-
Lower bounds for contingency tables via Lorentzian polynomials
We present a new lower bound on the number of contingency tables, improving upon and extending previous lower bounds by Barvinok [Bar09, Bar16] and...
-
Bounds for theta sums in higher rank. I
Theta sums are finite exponential sums with a quadratic form in the oscillatory phase. This paper establishes new upper bounds for theta sums in the...
-
Dirac cohomology on manifolds with boundary and spectral lower bounds
Along the lines of the classic Hodge–De Rham theory a general decomposition theorem for sections of a Dirac bundle over a compact Riemannian manifold...
-
-
Large Genus Bounds for the Distribution of Triangulated Surfaces in Moduli Space
Triangulated surfaces are compact Riemann surfaces equipped with a conformal triangulation by equilateral triangles. In 2004, Brooks and Makover...
-
Volume of convex polytopes equals mixed volume of simplices
qaaa We provide a simple proof for the equality between the normalized volume of a convex polytope with m vertices and the mixed volume of m ...
-
Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
This paper studies sharp and rigid isoperimetric comparison theorems and asymptotic isoperimetric properties for small and large volumes on N -dimensio...
-
Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds
The higher-order guaranteed lower eigenvalue bounds of the Laplacian in the recent work by Carstensen et al. (Numer Math 149(2):273–304, 2021)...
-
Optimal transport approach to Michael–Simon–Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds
We generalize McCann’s theorem of optimal transport to a submanifold setting and use it to prove Michael–Simon–Sobolev inequalities for submanifolds...
-
