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Topology-induced Enhancement of Mappings [article]

Roland Glantz, Maria Predari, Henning Meyerhenke
2018 arXiv   pre-print
The idea behind our method is to enhance such a mapping by drawing on the observation that many topologies take the form of a partial cube.  ...  In this paper we propose a new method to enhance a mapping μ(·) of a parallel application's computational tasks to the processing elements (PEs) of a parallel computer.  ...  Large parts of this work were carried out while H.M. was affiliated with Karlsruhe Institute of Technology.  ... 
arXiv:1804.07131v1 fatcat:mj5gfgotivakdfz36bqhnc4v6e

Topological probability and connection strength induced activity in complex neural networks

Wei Du-Qu, Zhang Bo, Qiu Dong-Yuan, Luo Xiao-Shu
2010 Chinese Physics B  
is an intermediate range of topological probability where the activity of 2DMN network is induced and enhanced.  ...  Network elements are described by two-dimensional map neurons (2DMNs) with the values of parameters at which no activity occurs.  ...  For instance, it is shown that the introduction of topological probability can induce transition from a highly fragmented phase to a uniform phase in social systems, [4] enhance the phase synchronization  ... 
doi:10.1088/1674-1056/19/10/100513 fatcat:6fulitqezfbdrgh6r26gykbf5y

Topological categories related to Fredholm operators: I. Classifying spaces [article]

Nikolai V. Ivanov
2021 arXiv   pre-print
The main results may be considered as partial analogues of the equivalence of Quillen's two definition of higher algebraic K-theory.  ...  In the present paper we provide detailed proofs of these theorems of Segal (different from the ones outlined by Segal) and then transplant some further ideas of Quillen to the real of Fredholm and self-adjoint  ...  We equip the set E of enhanced Fredholm operators with topology induced by the topology of F and the discrete topology on R > 0 .  ... 
arXiv:2111.14313v2 fatcat:35n5xnj3gvh6lekjeltszjsyf4

Surface plasmon on topological insulator/dielectric interface enhanced ZnO ultraviolet photoluminescence

Zhi-Min Liao, Bing-Hong Han, Han-Chun Wu, L. V. Yashina, Yuan Yan, Yang-Bo Zhou, Ya-Qing Bie, S. I. Bozhko, K. Fleischer, I. V. Shvets, Qing Zhao, Da-Peng Yu
2012 AIP Advances  
To further study the PL enhancement of the ZnO/Bi 2 Te 3 hybrid structure, two-dimensional mapping of the PL intensity was conducted.  ...  Our work has taken an important first step towards verifying the theoretical predications of the surface plasmons induced by the interesting topological properties of the Bi 2 Te 3 material.  ... 
doi:10.1063/1.3703320 fatcat:z3k2u2qtgvfwlmb5tm5vaswm7i

Topological categories related to Fredholm operators: II. The analytic index [article]

Nikolai V. Ivanov
2021 arXiv   pre-print
Naively, the analytic index of a family of self-adjoint Fredholm operators ought to be (an equivalence class of) the family of the kernels of these operators.  ...  The resulting new definition of the analytic index makes sense under much weaker continuity assumptions than the Atiyah-Singer one and can be easily adjusted to families of operators in fibers of a Hilbert  ...  Since s V U = s − 1 UV is also continuous, the maps s UV will be continuous even if the group of isometries of K is equipped with a stronger topology, namely with the topology induced from the product  ... 
arXiv:2111.15081v2 fatcat:quugwhtvxnfxlljz6tm3aohpfu

Topological endomorphism rings of tilting complexes [article]

Michal Hrbek
2022 arXiv   pre-print
with a natural linear topology.  ...  The hearts of cotilting complexes of cofinite type turn out to be equivalent to the category of discrete modules with respect to the same topological ring.  ...  A special thanks is due to Leonid Positselski for giving a very useful feedback on an earlier version of the manuscript.  ... 
arXiv:2205.11105v2 fatcat:vybzskxp6ra4fknwqjajb5lppe

Visualizing the charge order and topological defects in an overdoped (Bi,Pb)2Sr2CuO6+x superconductor

Ying Fei, Yuan Zheng, KunLiang Bu, WenHao Zhang, Ying Ding, XingJiang Zhou, Yi Yin
2019 Science China Physics Mechanics and Astronomy  
Through differential conductance maps over a series of reduced energies, the development of different response of the charge order is observed and a spatial evolution of topological defects is detected  ...  In scanning tunneling microscopy, the detected charge-order-induced modulation is an electronic response of the charge order.  ...  In both (a) and (b) we present the normalized maps of Z x/y f (r, ε)/A x/y (r, ε) to enhance the signal.  ... 
doi:10.1007/s11433-019-9454-6 fatcat:sdvcmh43lvbohe3vtit7ge4bii

Gelfand-type duality for commutative von Neumann algebras [article]

Dmitri Pavlov
2020 arXiv   pre-print
This result can be seen as a measure-theoretic counterpart of the Gelfand duality between commutative unital C*-algebras and compact Hausdorff topological spaces.  ...  We show that the following five categories are equivalent: (1) the opposite category of commutative von Neumann algebras; (2) compact strictly localizable enhanced measurable spaces; (3) measurable locales  ...  It sends a continuous map of topological spaces f : (X, U ) → (X ′ , U ′ ) to the induced preimage map f * : U ′ → U .  ... 
arXiv:2005.05284v2 fatcat:iuwpsh6sfzbg3dizpxtgk732g4

Chromatin topology reorganization and transcription repression by PML-RARα in acute promyeloid leukemia

Ping Wang, Zhonghui Tang, Byoungkoo Lee, Jacqueline Jufen Zhu, Liuyang Cai, Przemyslaw Szalaj, Simon Zhongyuan Tian, Meizhen Zheng, Dariusz Plewczynski, Xiaoan Ruan, Edison T. Liu, Chia-Lin Wei (+1 others)
2020 Genome Biology  
transcription factors binding at enhancers and super-enhancers, and leads to transcriptional repression of genes critical for myeloid differentiation and maturation.  ...  Our results not only provide novel topological insights for the roles of PML-RARα in transforming myeloid cells into leukemia cells, but further uncover a topological framework of a molecular mechanism  ...  Peer review information Yixin Yao was the primary editor of this article and managed its editorial process and peer review in collaboration with the rest of the editorial team.  ... 
doi:10.1186/s13059-020-02030-2 pmid:32393309 fatcat:dk6oqe6brzddvbi6blj2yo3dtm

Chromatin Topology Reorganization and Transcription Repression by PML/RARα in Acute Promyeloid Leukemia [article]

Yijun Ruan
2020 bioRxiv   pre-print
transcription factors binding at enhancers and super-enhancers, and leads to transcriptional repression of genes critical for myeloid differentiation and maturation.  ...  Our results not only provide novel topological insights for the roles of PML/RARα in transforming myeloid cells into leukemia cells, but further uncover a topological framework of a molecular mechanism  ...  Collectively, these observations suggested that 374 the behavior of native PML/RARα in genome topological organization in NB4 cells was similar to 375 that of the induced PML/RARα in PR9+Zn cells. 376  ... 
doi:10.1101/2020.03.05.979070 fatcat:at4rm47injbxtbwsezhs377vry

Skeletal filtrations of the fundamental group of a non-archimedean curve [article]

Paul Alexander Helminck
2021 arXiv   pre-print
We enhance the latter category by adding a set of gluing data to every covering and we show that this yields an equivalence of categories.  ...  and connected parts of the analytic Jacobian of the curve.  ...  We first show the injectivity of the induced map. Suppose that there are two coverings ψ i that map to the same morphism of enhanced coverings.  ... 
arXiv:1808.03541v4 fatcat:a7x5nzxefjdkho2i64vuwacthi

Approximations of the Brownian rough path with applications to stochastic analysis

P FRIZ, N VICTOIR
2005 Annales de l'I.H.P. Probabilites et statistiques  
Lyons' fine estimates in terms of control functions [Rev. Mat. Iberoamericana 14 (2) (1998) 215-310] allow us to show that the Itô map is still continuous in the topologies we introduced.  ...  This approach allows us to easily get a precise modulus of continuity for the Enhanced Brownian Motion (the Brownian Motion and its Lévy Area).  ...  The first author gratefully acknowledges support from the Austrian Academy of Science.  ... 
doi:10.1016/j.anihpb.2004.05.003 fatcat:pminwe6dsbdazg2ylsixbkiuxu

A high-resolution map of the three-dimensional chromatin interactome in human cells

Fulai Jin, Yan Li, Jesse R. Dixon, Siddarth Selvaraj, Zhen Ye, Ah Young Lee, Chia-An Yen, Anthony D. Schmitt, Celso A. Espinoza, Bing Ren
2013 Nature  
We also characterized the dynamics of promoter-enhancer contacts upon TNF-α signaling in these cells.  ...  Here, we report a comprehensive chromatin interaction map generated in human fibroblasts using a genome-wide 3C analysis method (Hi-C) 5 .  ...  This work is supported by funds from the Ludwig Institute for Cancer Research, the California Institute of Regenerative Medicine (RN2-00905) and US National Institutes of Health (P50 GM085764-03).  ... 
doi:10.1038/nature12644 pmid:24141950 pmcid:PMC3838900 fatcat:bv4rme5ugnhntkkk4gecbabi64

Topological obstructions in the way of data-driven collective variables

Behrooz Hashemian, Marino Arroyo
2015 Journal of Chemical Physics  
We also characterize the geometry and topology of conformational changes of alanine dipeptide, a benchmark system for testing new methods to identify collective variables.  ...  The success of these methods relies on their ability to identify the essential degrees of freedom characterizing conformational changes.  ...  ACKNOWLEDGMENTS We acknowledge the support of the European Research Council under the European Community 7th Framework Programme (FP7/2007-2013)/ERC Grant agreement No 240487.  ... 
doi:10.1063/1.4906425 pmid:25637964 fatcat:4i7vt6xrlzh45magmgc6wko66i

Epitaxial Growth of Ultraflat Bismuthene with High-Temperature Quantum Spin Hall Effect Enabled by Substrate-Orbital-Filtering Effect [article]

Shuo Sun, Jing-Yang You, Sisheng Duan, Jian Gou, Yongzheng Luo, Weinan Lin, Xu Lian, Tengyu Jin, Jiawei Liu, Yuli Huang, Yihe Wang, Andrew T. S. Wee (+5 others)
2021 arXiv   pre-print
The corresponding topological edge states are identified through scanning tunneling spectroscopy combined with density functional theory calculations.  ...  Our findings provide new strategies to design large-gap QSH systems for room-temperature applications and further explore their topology-related physics.  ...  Clearly, the edges present an enhanced intensity and decay towards the bulk with a width of about 11 Å, in accordance with dI/dV line mapping in Figure 3c , d.  ... 
arXiv:2110.02461v1 fatcat:cvvitsgm6fb6veidbf2adlecdy
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