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3
Modern Mathematical Achievements Accessible to Undergraduates
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Maiden Names vs. Married Names
6
When do 3D random walks return to their origin?
2
Importance of Poincaré recurrence theorem? Any example?
10
When is $L^2(X)$ separable?
2
Distance metric between two sample distributions (histograms)
8
Shortest grid-graph paths with random diagonal shortcuts
11
Zeroes of the random Fibonacci sequence
3
Random variables with same distribution
3
A metric for Grassmannians
2
Measure on real Grassmannians
4
amenable equivalence relation generated by an action of a non-amenable group
6
Continuous notions with compelling discrete analogues
7
Hyperbolicity on Riemann Surfaces
3
Complex manifolds where bounded holomorphic functions are constant
5
What spaces have well known horofunctions?
5
Invariant means on the integers
2
What are the zero entropy invariant measures for an Anosov geodesic flow?
0
Supremum amongst Kolmogorov-Sinai entropies: ergodic or just invariant measures.
6
How to define the quotient of a measure which is invariant under group action?
3
Decomposition of a dynamical system into ergodic componenents
2
Wasserstein distance in R^d from one dimensional marginals
6
Alternative proofs of the Krylov-Bogolioubov theorem
12
Different uses of the word “ergodic”
4
Continuity of the mutual information
9
hyperbolic amenable graph
1
harmonic 1-form with bounded energy on a strip in $\mathbb{R}^2$
3
Examples and non-examples of Riemannian foliations
2
Random linear recurrence relations
1
Random walk origin return monotinicity
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