Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Mackenzie Simper"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
Let G be a finite group. Let $H, K$ be subgroups of G and $H \backslash G / K$ the double coset space. If Q is a probability on G which is constant on conjugacy classes ( $Q(s^{-1} t s) = Q(t)$ ), then the random walk driven by Q on G proj
Externí odkaz:
https://doaj.org/article/885465ac517c4ee69f662093b41d3b15
Autor:
Mackenzie Simper, Julia A. Palacios
Publikováno v:
Journal of Applied Probability. 59:1243-1260
The standard coalescent is widely used in evolutionary biology and population genetics to model the ancestral history of a sample of molecular sequences as a rooted and ranked binary tree. In this paper, we present a representation of the space of ra
Let $G$ be a finite group. Let $H, K$ be subgroups of $G$ and $H \backslash G / K$ the double coset space. Let $Q$ be a probability on $G$ which is constant on conjugacy classes ($Q(s^{-1} t s) = Q(t)$). The random walk driven by $Q$ on $G$ projects
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc0faf621717da2eaed437da34ca07dd
http://arxiv.org/abs/2208.10699
http://arxiv.org/abs/2208.10699
Autor:
Mackenzie Simper, Persi Diaconis
Let $H$ and $K$ be subgroups of a finite group $G$. Pick $g \in G$ uniformly at random. We study the distribution induced on double cosets. Three examples are treated in detail: 1) $H = K = $ the Borel subgroup in $GL_n(\mathbb{F}_q)$. This leads to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10248f73652b5a28e65daa8016e50245
http://arxiv.org/abs/2102.04576
http://arxiv.org/abs/2102.04576
Publikováno v:
Bernoulli 26, no. 3 (2020), 1927-1955
We prove that given any fixed asymptotic velocity, the finite length O’Connell–Yor polymer has an infinite length limit satisfying the law of large numbers with this velocity. By a Markovian property of the quenched polymer this reduces to showin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98e8078a2e2fed21595fc44d99c1b339
https://projecteuclid.org/euclid.bj/1587974529
https://projecteuclid.org/euclid.bj/1587974529
In the $q$-voter model, the voter at $x$ changes its opinion at rate $f_x^q$, where $f_x$ is the fraction of neighbors with the opposite opinion. Mean-field calculations suggest that there should be coexistence between opinions if $q1$. This model ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd9279207e63b16c9bdddd2e6cc860a6
http://arxiv.org/abs/2006.04162
http://arxiv.org/abs/2006.04162
Publikováno v:
Stochastics. 89:1127-1142
We study the backwards Markov chain for the Bak-Sneppen model of biological evolution and derive its corresponding reversibility equations. We show that, in contrast to the forwards Markov chain, the dynamics of the backwards chain explicitly involve
Autor:
Mackenzie Simper
Consider an urn containing balls labeled with integer values. Define a discrete-time random process by drawing two balls, one at a time and with replacement, and noting the labels. Add a new ball labeled with the sum of the two drawn labels. This mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6915bb38812058255cbe0c987964725a
http://arxiv.org/abs/1908.01370
http://arxiv.org/abs/1908.01370