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pro vyhledávání: '"Borodin, Matvey"'
Autor:
Borodin, Matvey
The cactus group $J_n$ is the $S_n$-equivariant fundamental group of the real locus of the Deligne-Mumford moduli space of stable rational curves with marked points. This group plays the role of the braid group for the monoidal category of Kashiwara
Externí odkaz:
http://arxiv.org/abs/2312.01176
Vanishing polynomials are polynomials over a ring which output $0$ for all elements in the ring. In this paper, we study the ideal of vanishing polynomials over specific types of rings, along with the closely related ring of polynomial functions. In
Externí odkaz:
http://arxiv.org/abs/2310.01553
We study the set of algebraic objects known as vanishing polynomials (the set of polynomials that annihilate all elements of a ring) over general commutative rings with identity. These objects are of special interest due to their close connections to
Externí odkaz:
http://arxiv.org/abs/2302.12637
Autor:
Borodin, Matvey, Chen, Eric, Duncan, Aidan, Khovanova, Tanya, Litchev, Boyan, Liu, Jiahe, Moroz, Veronika, Qian, Matthew, Raghavan, Rohith, Rastogi, Garima, Voigt, Michael
In this paper, we begin by discussing different types of preference profiles related to the stable marriage problem. We then introduce the concept of soulmates, which are a man and a woman who rank each other first. Inversely, we examine hell-pairs,
Externí odkaz:
http://arxiv.org/abs/2201.00645
Autor:
Borodin, Matvey, Chen, Eric, Duncan, Aidan, Khovanova, Tanya, Litchev, Boyan, Liu, Jiahe, Moroz, Veronika, Qian, Matthew, Raghavan, Rohith, Rastogi, Garima, Voigt, Michael
Are you having trouble getting married? These days, there are lots of products on the market for dating, from apps to websites and matchmakers, but we know a simpler way! That's right -- your path to coupled life isn't through Tinder: it's through Su
Externí odkaz:
http://arxiv.org/abs/2108.02654
Autor:
Agarwal, Isha, Borodin, Matvey, Duncan, Aidan, Ji, Kaylee, Khovanova, Tanya, Lee, Shane, Litchev, Boyan, Rastogi, Anshul, Rastogi, Garima, Zhao, Andrew
We introduce and analyze several variations of Penney's game aimed to find a more equitable game.
Comment: 23 pages, 4 figures, 19 tables
Comment: 23 pages, 4 figures, 19 tables
Externí odkaz:
http://arxiv.org/abs/2006.13002
Autor:
Agarwal, Isha, Borodin, Matvey, Duncan, Aidan, Ji, Kaylee, Khovanova, Tanya, Lee, Shane, Litchev, Boyan, Rastogi, Anshul, Rastogi, Garima, Zhao, Andrew
We analyze a coin-based game with two players where, before starting the game, each player selects a string of length $n$ comprised of coin tosses. They alternate turns, choosing the outcome of a coin toss according to specific rules. As a result, th
Externí odkaz:
http://arxiv.org/abs/2006.09588
Autor:
Borodin, Matvey, Duncan, Aidan, Guo, Joshua, Kapoor, Kunal, Khovanova, Tanya, Sakarda, Anuj, Tan, Jerry, Tipirneni, Armaan, Xu, Max, Zhao, Kevin
We discuss some old common knowledge puzzles and introduce a lot of new common knowledge puzzles.
Comment: 24 pages
Comment: 24 pages
Externí odkaz:
http://arxiv.org/abs/1909.02415
Autor:
Borodin, Matvey, Han, Hannah, Ji, Kaylee, Khovanova, Tanya, Peng, Alexander, Sun, David, Tu, Isabel, Yang, Jason, Yang, William, Zhang, Kevin, Zhao, Kevin
We discuss two different systems of number representations that both can be called 'base 3/2'. We explain how they are connected. Unlike classical fractional extension, these two systems provide a finite representation for integers. We also discuss a
Externí odkaz:
http://arxiv.org/abs/1901.09818
Autor:
Borodin, Matvey, Han, Hannah, Ji, Kaylee, Khovanova, Tanya, Peng, Alexander, Sun, David, Tu, Isabel, Yang, Jason, Yang, William, Zhang, Kevin, Zhao, Kevin
We study a particular chip-firing process on an infinite path graph. At any time when there are at least $a+b$ chips at a vertex, $a$ chips fire to the left and $b$ chips fire to the right. We describe the final state of this process when we start wi
Externí odkaz:
http://arxiv.org/abs/1809.09676