Zobrazeno 1 - 10
of 515
pro vyhledávání: '"LOGAN, ALAN"'
Post's Correspondence Problem (the PCP) is a classical decision problem in theoretical computer science that asks whether for pairs of free monoid morphisms $g, h\colon\Sigma^*\to\Delta^*$ there exists any non-trivial $x\in\Sigma^*$ such that $g(x)=h
Externí odkaz:
http://arxiv.org/abs/2211.12158
Autor:
Logan, Alan D.
We give an algorithm to solve the Conjugacy Problem for ascending HNN-extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Comment: 27 pages, v3: minor updates and improveme
Comment: 27 pages, v3: minor updates and improveme
Externí odkaz:
http://arxiv.org/abs/2209.04357
Autor:
Logan, Alan D., Shree, Shivangi, Chakravarthi, Srivatsa, Yama, Nicholas, Pederson, Christian, Hestroffer, Karine, Hatami, Fariba, Fu, Kai-Mei C.
We demonstrate quasi-phase matched, triply-resonant sum frequency conversion in 10.6-um-diameter integrated gallium phosphide ring resonators. A small-signal, waveguide-to-waveguide power conversion efficiency of 8%/mW is measured for conversion from
Externí odkaz:
http://arxiv.org/abs/2208.06764
The Surface Group Conjectures are statements about recognising surface groups among one-relator groups, using either the structure of their finite-index subgroups, or all subgroups. We resolve these conjectures in the two generator case. More general
Externí odkaz:
http://arxiv.org/abs/2202.11093
We initiate the study of torsion-free algebraically hyperbolic groups; these groups generalise torsion-free hyperbolic groups and are intricately related to groups with no Baumslag--Solitar subgroups. Indeed, for groups of cohomological dimension $2$
Externí odkaz:
http://arxiv.org/abs/2112.01331
Autor:
Logan, Alan C.1 (AUTHOR) alanxlogan@gmail.com, Fishbein, Diana H.2,3,4 (AUTHOR) dfishbein@unc.edu
Publikováno v:
Challenges (20781547). Jun2024, Vol. 15 Issue 2, p18. 15p.
Autor:
Thiel, Lillian, Logan, Alan D., Chakravarthi, Srivatsa, Shree, Shivangi, Hestroffer, Karine, Hatami, Fariba, Fu, Kai-Mei C.
We demonstrate post-fabrication target-wavelength trimming with a gallium phosphide on silicon nitride integrated photonic platform using controlled electron-beam exposure of hydrogen silsesquioxane cladding. A linear relationship between the electro
Externí odkaz:
http://arxiv.org/abs/2110.03612
Publikováno v:
In EXPLORE July-August 2024 20(4):470-476
Autor:
Ciobanu, Laura, Logan, Alan D.
The Post Correspondence Problem is a classical decision problem about equalisers of free monoid homomorphisms. We prove connections between several variations of this classical problem, but in the setting of free groups and free group homomorphisms.
Externí odkaz:
http://arxiv.org/abs/2104.05772
We provide a direct connection between the $\mathcal{Z}_{\max}$ (or essential) JSJ decomposition and the Friedl--Tillmann polytope of a hyperbolic two-generator one-relator group with abelianisation of rank $2$. We deduce various structural and algor
Externí odkaz:
http://arxiv.org/abs/2101.02193