Zobrazeno 1 - 10
of 1 324
pro vyhledávání: '"Jordan, David P."'
We analyze the $G$-skein theory invariants of the 3-torus $T^3$ and the two-torus $T^2$, for the groups $G = GL_N, SL_N$ and for generic quantum parameter. We obtain formulas for the dimension of the skein module of $T^3$, and we describe the algebra
Externí odkaz:
http://arxiv.org/abs/2409.05613
Over the last decade, the Kubernetes container orchestration platform has become essential to many scientific workflows. Despite its popularity, deploying a production-ready Kubernetes cluster on-premises can be challenging for system administrators.
Externí odkaz:
http://arxiv.org/abs/2407.01620
Autor:
Shanahan, Louise, Belser, Sophia, Hart, Jack W., Gu, Qiushi, Roth, Julien R. E., Mechnich, Annika, Hoegen, Michael, Pal, Soham, Jordan, David, Miska, Eric A., Atature, Mete, Knowles, Helena S.
Optically addressable spin-based quantum sensors enable nanoscale measurements of temperature, magnetic field, pH, and other physical properties of a system. Advancing the sensors beyond proof-of-principle demonstrations in living cells and multicell
Externí odkaz:
http://arxiv.org/abs/2406.01181
Autor:
Jordan, David A.
We determine the $\sigma$-derivations of quantum tori and quantum affine spaces for a toric automorphism $\sigma$. By standard results, every toric automorphism $\sigma$ of a quantum affine space $\mathcal{A}$ and every $\sigma$-derivation of $\mathc
Externí odkaz:
http://arxiv.org/abs/2405.10848
Publikováno v:
Proc. Natl. Acad. Sci. U. S. A. 121, e2318805121 (2024)
How do we capture the breadth of behavior in animal movement, from rapid body twitches to aging? Using high-resolution videos of the nematode worm $C. elegans$, we show that a single dynamics connects posture-scale fluctuations with trajectory diffus
Externí odkaz:
http://arxiv.org/abs/2310.12883
Autor:
Jordan, David
In this survey article for the Encyclopedia of Mathematical Physics, 2nd Edition, I give an introduction to quantum character varieties and quantum character stacks, with an emphasis on the unification between four different approaches to their const
Externí odkaz:
http://arxiv.org/abs/2309.06543
We develop a $\mathtt{q}$-analogue of the theory of conjugation equivariant $\mathcal D$-modules on a complex reductive group $G$. In particular, we define quantum Hotta-Kashiwara modules and compute their endomorphism algebras. We use the Schur-Weyl
Externí odkaz:
http://arxiv.org/abs/2309.03117
Autor:
Jordan, David J., Miska, Eric A.
How do the same mechanisms that faithfully regenerate complex developmental programs in spite of environmental and genetic perturbations also permit responsiveness to environmental signals, adaptation, and genetic evolution? Using the nematode Caenor
Externí odkaz:
http://arxiv.org/abs/2304.07137
Autor:
Jordan, David
I introduce new Langlands duality conjectures concerning skein modules of 3-manifolds, which we have made recently with David Ben-Zvi, Sam Gunningham, and Pavel Safronov. I recount some historical motivation and some recent special cases where the co
Externí odkaz:
http://arxiv.org/abs/2302.14734
Publikováno v:
Chaos 33, 023136 (2023)
Isolating slower dynamics from fast fluctuations has proven remarkably powerful, but how do we proceed from partial observations of dynamical systems for which we lack underlying equations? Here, we construct maximally-predictive states by concatenat
Externí odkaz:
http://arxiv.org/abs/2105.12811