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pro vyhledávání: '"Bradley, Patrick"'
Autor:
Bradley, Patrick Erik
$p$-Adic divergence and gradient operators are constructed giving rise to $p$-adic vertex Laplacian operators used by Z\'u\~niga in order to study Turing patterns on graphs, as well as their edge Laplacian counterparts. It is shown that the Euler cha
Externí odkaz:
http://arxiv.org/abs/2406.06439
Autor:
Bradley, Patrick Erik
A parametrised diffusion operator on the regular domain $\Omega$ of a $p$-adic Schottky group is constructed. It is defined as an integral operator on the complex-valued functions on $\Omega$ which are invariant under the Schottky group $\Gamma$, whe
Externí odkaz:
http://arxiv.org/abs/2405.17586
Autor:
Bradley, Patrick Erik
A self-adjoint operator is constructed on the $L_2$-functions on the $K$-rational points $X(K)$ of a Mumford curve $X$ defined over a non-archimedean local field $K$. It generates a Feller semi-group, and the corresponding heat equation describes a M
Externí odkaz:
http://arxiv.org/abs/2402.02869
Autor:
Bradley, Patrick Erik
A diffusion operator on the $K$-rational points of a Tate elliptic curve $E_q$ is constructed, where $K$ is a non-archimedean local field, as well as an operator on the Berkovich-analytification $E_q^{an}$ of $E_q$. These are integral operators for m
Externí odkaz:
http://arxiv.org/abs/2312.03570
For a finite graph, a spectral curve is constructed as the zero set of a two-variate polynomial with integer coefficients coming from p-adic diffusion on the graph. It is shown that certain spectral curves can distinguish non-isomorphic pairs of isos
Externí odkaz:
http://arxiv.org/abs/2303.00833
Autor:
Bradley, Patrick Erik
A general class of heat operators over non-archimedean local fields acting on $L_2$-function spaces on affinoid domains in the local field are developed. $L_2$-spaces and integral operators invariant under the action of a non-archimedean Schottky gro
Externí odkaz:
http://arxiv.org/abs/2112.05739
Autor:
Bradley, Patrick Justin
The work we present in this thesis is a series of studies of how heterogeneities in coupling affect the synchronization of coupled neural oscillators. We begin by examining how heterogeneity in coupling strength affects the equilibrium phase differen
Externí odkaz:
http://hdl.handle.net/1853/33938
Publikováno v:
Data-Centric Engineering, Vol 5 (2024)
The Internet of Things (IoT) and wearable computing are crucial elements of modern information systems and applications in which advanced features for user interactivity and monitoring are required. However, in the fields of pervasive gaming, IoT has
Externí odkaz:
https://doaj.org/article/a0926653684a4c77b48aeb90e02b39fe
Autor:
Kwak, Doyun1 (AUTHOR), Bradley, Patrick B.1 (AUTHOR), Subbotina, Natalia1 (AUTHOR), Ling, Song1 (AUTHOR), Teitz-Tennenbaum, Seagal1,2 (AUTHOR), Osterholzer, John J.1,2 (AUTHOR), Sisson, Thomas H.1 (AUTHOR), Kim, Kevin K.1 (AUTHOR) kevkim@med.umich.edu
Publikováno v:
Respiratory Research. 12/14/2023, Vol. 24 Issue 1, p1-17. 17p.