Browsing Mathematics by Title
Now showing items 219-238 of 1478
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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 ... -
A covariance formula for topological events of smooth Gaussian fields
(Institute of Mathematical Statistics, 2020)We derive a covariance formula for the class of `topological events' of smooth Gaussian fields on manifolds; these are events that depend only on the topology of the level sets of the field, for example (i) crossing events ... -
Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states
In this paper we investigate critical Gagliardo-Nirenberg, Trudinger-type and Brezis-Gallouet-Wainger inequalities associated with the positive Rockland operators on graded groups, which includes the cases of $\mathbb R^n$, ... -
CRITICAL HARDY INEQUALITIES
(2019) -
Critical Kaluza-Klein black holes and black strings in D=10
(2018-11-20)
