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math.NT2020
Modeling Random Walks to Infinity on Primes in
Bencheng Li, Steven J. Miller, Tudor Popescu +2
An interesting question, known as the Gaussian moat problem, asks whether it is possible to walk to infinity on Gaussian primes with steps of bounded length. Our work examines a si…
math.CO2020
Filtering cohomology of ordinary and Lagrangian Grassmannians
The 2020 Polymath Jr. REU "q-binomials, the Grassmannian group", : +31
This paper studies, for a positive integer , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most . We build in two…
math.NT2020
Walking to Infinity Along Some Number Theory sequences
Steven J. Miller, Fei Peng, Tudor Popescu +3
An interesting open conjecture asks whether it is possible to walk to infinity along primes, where each term in the sequence has one digit more than the previous. We present differ…