Zobrazeno 1 - 10
of 437
pro vyhledávání: '"Miller, Nicholas P."'
We show that there are infinitely many homeomorphism types of atoroidal surface bundles over surfaces which have signature zero.
Externí odkaz:
http://arxiv.org/abs/2410.18029
We study semiclassical measures for Laplacian eigenfunctions on compact complex hyperbolic quotients. Geodesic flows on these quotients are a model case of hyperbolic dynamical systems with different expansion/contraction rates in different direction
Externí odkaz:
http://arxiv.org/abs/2402.06477
We investigate and compare applications of the Zilber-Pink conjecture and dynamical methods to rigidity problems for arithmetic real and complex hyperbolic lattices. Along the way we obtain new general results about reconstructing a variation of Hodg
Externí odkaz:
http://arxiv.org/abs/2402.03601
A note on an effective characterization of covers with an application to higher rank representations
In this note we prove an effective characterization of when two finite-degree covers of a connected, orientable surface of negative Euler characteristic are isomorphic in terms of which curves have simple elevations, weakening the hypotheses to consi
Externí odkaz:
http://arxiv.org/abs/2307.09643
Autor:
Miller, Nicholas
Recent work of Chinburg, Reid, and Stover has shown that certain arithmetic and algebro-geometric properties of the character variety of a hyperbolic knot complement in the 3-sphere $M=S^3\setminus K$ yields topological and number theoretic informati
Externí odkaz:
http://arxiv.org/abs/2303.16309
For a surface $S$ of sufficient complexity, Dehn twists act elliptically on the arc, curve, and relative arc graph of $S$. We show that composing a Dehn twist with a shift map results in a loxodromic isometry of the relative arc graph $\mathcal{A}(S,
Externí odkaz:
http://arxiv.org/abs/2212.09156
We prove that every closed orientable surface S of negative Euler characteristic admits a pair of finite-degree covers which are length isospectral over S but generically not simple length isospectral over S. To do this, we first characterize when tw
Externí odkaz:
http://arxiv.org/abs/2210.16706
Autor:
Tunga, Ashwin, Li, Kexin, Miller, Nicholas C., Grupen, Matt, Albrecht, John D., Rakheja, Shaloo
Various simulations of a GaN HEMT are used to study the behaviors of two different energy-transport models: the Fermi kinetics transport model and a hydrodynamics transport model as it is implemented in the device simulator Sentaurus from Synopsys. T
Externí odkaz:
http://arxiv.org/abs/2208.03576
An infinite-type surface $\Sigma$ is of type $\mathcal{S}$ if it has an isolated puncture $p$ and admits shift maps. This includes all infinite-type surfaces with an isolated puncture outside of two sporadic classes. Given such a surface, we construc
Externí odkaz:
http://arxiv.org/abs/2109.06106