scholarly journals Fibered commensurability and arithmeticity of random mapping tori

2017 ◽  
Vol 11 (4) ◽  
pp. 1253-1279
Author(s):  
Hidetoshi Masai
Keyword(s):  
Random Mapping ◽  
Mapping Tori

scholarly journals Largest projections for random walks and shortest curves in random mapping tori

2019 ◽  
Vol 26 (1) ◽  
pp. 293-321 ◽  
Author(s):  
Alessandro Sisto ◽  
Samuel J. Taylor
Keyword(s):  
Random Walks ◽  
Random Mapping ◽  
Mapping Tori

Functionals of random mappings: exact and asymptotic results

1991 ◽  
Vol 23 (3) ◽  
pp. 437-455 ◽  
Author(s):  
P. J. Donnelly ◽  
W. J. Ewens ◽  
S. Padmadisastra
Keyword(s):  
Frequency Spectrum ◽  
Exact Results ◽  
Asymptotic Results ◽  
Number Of Components ◽  
Random Mapping ◽  
Random Mappings ◽  
Simulation Results ◽  
Central Tool

A random mapping partitions the set {1, 2, ···, m} into components, where i and j are in the same component if some functional iterate of i equals some functional iterate of j. We consider various functionals of these partitions and of samples from it, including the number of components of ‘small' size and of size O(m) as m → ∞the size of the largest component, the number of components, and various symmetric functionals of the normalized component sizes. In many cases exact results, while available, are uniformative, and we consider various approximations. Numerical and simulation results are also presented. A central tool for many calculations is the ‘frequency spectrum', both exact and asymptotic.

scholarly journals Systematic and Random Mapping Errors in Structure – Function Analysis of the Macula

2021 ◽  
Vol 10 (2) ◽  
pp. 21
Author(s):  
Giovanni Montesano ◽  
Luca M. Rossetti ◽  
Davide Allegrini ◽  
Mario R. Romano ◽  
David F. Garway-Heath ◽  
...  
Keyword(s):  
Structure Function ◽  
Function Analysis ◽  
Random Mapping

Conditional Random Mapping for Effective ELM Feature Representation

2018 ◽  
Vol 10 (5) ◽  
pp. 827-847 ◽  
Author(s):  
Cheng Li ◽  
Chenwei Deng ◽  
Shichao Zhou ◽  
Baojun Zhao ◽  
Guang-Bin Huang
Keyword(s):  
Feature Representation ◽  
Random Mapping

scholarly journals Ranks of mapping tori via the curve complex

2019 ◽  
Vol 2019 (748) ◽  
pp. 153-172 ◽  
Author(s):  
Ian Biringer ◽  
Juan Souto
Keyword(s):  
Fundamental Group ◽  
Orientable Surface ◽  
Curve Complex ◽  
Mapping Torus ◽  
Closed Orientable Surface ◽  
Mapping Tori

Abstract We show that if ϕ is a homeomorphism of a closed, orientable surface of genus g, and ϕ has large translation distance in the curve complex, then the fundamental group of the mapping torus {M_{\phi}} has rank {2g+1} .

scholarly journals Predecessors and Successors in Random Mappings with Exchangeable In-Degrees

2013 ◽  
Vol 50 (3) ◽  
pp. 721-740 ◽  
Author(s):  
Jennie C. Hansen ◽  
Jerzy Jaworski
Keyword(s):  
Asymptotic Behaviour ◽  
Preferential Attachment ◽  
Degree Sequence ◽  
Discrete Distributions ◽  
Threshold Behaviour ◽  
Mapping Model ◽  
Random Mapping ◽  
Exact Distributions ◽  
Random Mappings ◽  
Expected Values

In this paper we characterise the distributions of the number of predecessors and of the number of successors of a given set of vertices, A, in the random mapping model, TnD̂ (see Hansen and Jaworski (2008)), with exchangeable in-degree sequence (D̂1,D̂2,…,D̂n). We show that the exact formulae for these distributions and their expected values can be given in terms of the distributions of simple functions of the in-degree variables D̂1,D̂2,…,D̂n. As an application of these results, we consider two special examples of TnD̂ which correspond to random mappings with preferential and anti-preferential attachment, and determine the exact distributions for the number of predecessors and the number of successors in these cases. We also characterise, for these two special examples, the asymptotic behaviour of the expected numbers of predecessors and successors and interpret these results in terms of the threshold behaviour of epidemic processes on random mapping graphs. The families of discrete distributions obtained in this paper are also of independent interest.

scholarly journals Toric actions in cosymplectic geometry

2019 ◽  
Vol 31 (4) ◽  
pp. 907-915 ◽  
Author(s):  
Giovanni Bazzoni ◽  
Oliver Goertsches
Keyword(s):  
Symplectic Manifolds ◽  
Cosymplectic Manifolds ◽  
Mapping Tori

Abstract We show that compact toric cosymplectic manifolds are mapping tori of equivariant symplectomorphisms of toric symplectic manifolds.

On the Reducibility and the η-Invariant of Periodic Automorphisms of Genus 2 Surface

1997 ◽  
Vol 06 (06) ◽  
pp. 827-831 ◽  
Author(s):  
Takayuki Morifuji
Keyword(s):  
Finite Order ◽  
Mapping Class Group ◽  
Class Group ◽  
Finite Subgroup ◽  
Mapping Class ◽  
Mapping Tori ◽  
Genus 2

We give a characterization for the reducibility of elements of any finite subgroup of the mapping class group of genus 2 surface in terms of the η-invariant of finite order mapping tori.

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