Výsledky vyhledávání - "Popescu, Tudor"

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Walking to Infinity on the Fibonacci Sequence

Autor: Miller, Steven J., Peng, Fei, Popescu, Tudor, Wattanawanichkul, Nawapan

An interesting open problem in number theory asks whether it is possible to walk to infinity on primes, where each term in the sequence has one more digit than the previous. In this paper, we study its variation where we walk on the Fibonacci sequenc

Externí odkaz: http://arxiv.org/abs/2204.08138

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Akademický článek

Core principles of melodic organisation emerge from transmission chains with random melodies

Autor: Popescu, Tudor, Rohrmeier, Martin

Publikováno v: In Evolution and Human Behavior November 2024 45(6)

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Modeling Random Walks to Infinity on Primes in $\mathbb{Z}[\sqrt{2}]$

Autor: Li, Bencheng, Miller, Steven J., Popescu, Tudor, Sarnecki, Daniel, Wattanawanichkul, Nawapan

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 similar situation in the real quadratic integer ring $\mathbb{Z}[\sqrt{2

Externí odkaz: http://arxiv.org/abs/2011.07386

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Filtering cohomology of ordinary and Lagrangian Grassmannians

Autor: "q-binomials, The 2020 Polymath Jr. REU, group", the Grassmannian, Ahmed, Huda, Chishti, Rasiel, Chiu, Yu-Cheng, Dorpalen-Barry, Galen, Ellis, Jeremy, Fang, David, Feigen, Michael, Feigert, Jonathan, González, Mabel, Harker, Dylan, Wei, Jiaye, Joshi, Bhavna, Kulkarni, Gandhar, Lad, Kapil, Liu, Zhen, Mingyang, Ma, Myers, Lance, Nigam, Arjun, Popescu, Tudor, Reiner, Victor, Rong, Zijian, Sukarto, Eunice, Villamil, Leonardo Mendez, Wang, Chuanyi, Wang, Napoleon, Yamin, Ajmain, Yu, Jeffery, Yu, Matthew, Zhang, Yuanning, Zhu, Ziye, Zijian, Chen

Publikováno v: Involve 15 (2022) 271-288

This paper studies, for a positive integer $m$, the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most $m$. We build in two ways upon a conjecture for the Hilbert series of this subalgebra due t

Externí odkaz: http://arxiv.org/abs/2011.03179

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Walking to Infinity Along Some Number Theory sequences

Autor: Miller, Steven J., Peng, Fei, Popescu, Tudor, Siktar, Joshua M., Wattanawanichkul, Nawapan, Program, The Polymath REU

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 different greedy models for prime walks to predict the long-time behavior of

Externí odkaz: http://arxiv.org/abs/2010.14932

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