Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An enhanced uncertainty principle for the Vaserstein distance   We improve some recent results of Sagiv and Steinerberger that quantify the
following uncertainty principle: for a function $f$ with mean zero, either the
size of the zero set of the function or the cost of transporting the mass of
the positive part of $f$ to its negative part must be big. We also provide a
sharp upper estimate of the transport cost of the positive part of an
eigenfunction of the Laplacian. This proves a conjecture of Steinerberger and
provides a lower bound of the size of the nodal set of the eigenfunction.

17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol