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While boundary plasmas in present day tokamaks generally fall in a fluid regime, neutral species near the boundary often require kinetic models due to long mean-free-paths compared to characteristic spatial scales in the region. Monte-Carlo (MC) meth
Externí odkaz:
http://arxiv.org/abs/2407.10936
Autor:
He, Siqi, Parker, Gregory J.
Given a pair of $\mathbb{Z}_2$-harmonic spinors (resp. 1-forms) on closed Riemannian 3-manifolds $(Y_1, g_1)$ and $(Y_2,g_2)$, we construct $\mathbb{Z}_2$-harmonic spinors (resp. 1-forms) on the connected sum $Y_1 \# Y_2$ and the torus sum $Y_1 \cup_
Externí odkaz:
http://arxiv.org/abs/2407.10922
Autor:
Parker, Gregory J.
Given a $\mathbb Z_2$-harmonic spinor satisfying some genericity assumptions, this article constructs a 1-parameter family of two-spinor Seiberg-Witten monopoles converging to it after renormalization. The proof is a gluing construction beginning wit
Externí odkaz:
http://arxiv.org/abs/2402.03682
Autor:
Parker, Gregory J.
This article studies a class of Dirac operators of the form $D_\varepsilon= D+\varepsilon^{-1}\mathcal A$, where $\mathcal A$ is a zeroth order perturbation vanishing on a subbundle. When $\mathcal A$ satisfies certain additional assumptions, solutio
Externí odkaz:
http://arxiv.org/abs/2307.00694
Autor:
Parker, Gregory J.
A $\mathbb Z_2$-harmonic spinor on a 3-manifold $Y$ is a solution of the Dirac equation on a bundle that is twisted around a submanifold $\mathcal Z$ of codimension 2 called the singular set. This article investigates the local structure of the unive
Externí odkaz:
http://arxiv.org/abs/2301.06245
Autor:
Parker, Gregory J.
Given a compact 3-manifold $Y$ and a $\mathbb Z_2$-harmonic spinor $(\mathcal Z_0, A_0,\Phi_0)$ with singular set $\mathcal Z_0$, this article constructs a family of local solutions to the two-spinor Seiberg-Witten equations parameterized by $\epsilo
Externí odkaz:
http://arxiv.org/abs/2210.08148
A stochastic differential equation that describes the dynamics of single-domain magnetic particles at any temperature is derived using a classical formalism. The deterministic terms recover existing theory and the stochastic process takes the form of
Externí odkaz:
http://arxiv.org/abs/1410.6980
Autor:
Parker, Gregory J.
Thesis (M.S.)--University of Wisconsin--Madison, 1998.
Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 128-140).
Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 128-140).
Externí odkaz:
http://catalog.hathitrust.org/api/volumes/oclc/41462030.html
Akademický článek
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Publikováno v:
In SLAS Discovery April 2000 5(2):77-88
