Browsing Mathematics by Title
Now showing items 197-216 of 1439
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Constructive approach to limit theorems for recurrent diffusive random walks on a strip.
(IOS Press, 2020-06-01) -
A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures
A well-known theorem of J.E. Hutchinson states that if an iterated function system consists of similarity transformations and satisfies the open set condition then its attractor supports a self-similar measure with Hausdorff ... -
Convexity estimates for high codimension mean curvature flow
We consider the flow by mean curvature of smooth n-dimensional submanifolds of Rn+k, k≥2, which are compact and quadratically pinched. We establish that such flows are asymptotically convex, that is, the first eigenvalue ... -
Correlation for permutations
(Elsevier, 2020-04)In this note we investigate correlation inequalities for `up-sets' of permutations, in the spirit of the Harris--Kleitman inequality. We focus on two well-studied partial orders on $S_n$, giving rise to differing notions ... -
Cosmology with the Laser Interferometer Space Antenna
(Springer Nature, 2023-12-01)The Laser Interferometer Space Antenna (LISA) has two scientific objectives of cosmological focus: to probe the expansion rate of the universe, and to understand stochastic gravitational-wave backgrounds and their implications ... -
Counting equilibria of large complex systems by instability index
We consider a nonlinear autonomous system of $N\gg 1$ degrees of freedom randomly coupled by both relaxational ('gradient') and non-relaxational ('solenoidal') random interactions. We show that with increased interaction ... -
Counting weighted independent sets beyond the permanent
(Society for Industrial and Applied Mathematics, 2021-06)Jerrum, Sinclair, and Vigoda [J. ACM, 51 (2004), pp. 671--697] showed that the permanent of any square matrix can be estimated in polynomial time. This computation can be viewed as approximating the partition function of ... -
A COUPLED ALPHA COMPLEX
(2023-04-04)The alpha complex is a subset of the Delaunay triangulation and is often used in computational geometry and topology. One of the main drawbacks of using the alpha complex is that it is non-monotone, in the sense that if ...