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- Martens, Marco, et al.
(författare)
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On the Hyperbolicity of Lorenz Renormalization
- 2014
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Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 325:1, s. 185-257
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Tidskriftsartikel (refereegranskat)abstract
- We consider infinitely renormalizable Lorenz maps with real critical exponent alpha > 1 of certain monotone combinatorial types. We prove the existence of periodic points of the renormalization operator, and that each map in the limit set of renormalization has an associated two-dimensional strong unstable manifold. For monotone families of Lorenz maps we prove that each infinitely renormalizable combinatorial type has a unique representative within the family. We also prove that each infinitely renormalizable map has no wandering intervals, is ergodic, and has a uniquely ergodic minimal Cantor attractor of measure zero.
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- Špakov, Oleg, et al.
(författare)
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Two-Way Gaze Sharing in Remote Teaching
- 2019
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Ingår i: Human-Computer Interaction – INTERACT 2019 : 17th IFIP TC 13 International Conference, Paphos, Cyprus, September 2–6, 2019, Proceedings - 17th IFIP TC 13 International Conference, Paphos, Cyprus, September 2–6, 2019, Proceedings. - Cham : Springer International Publishing. - 0302-9743 .- 1611-3349. - 9783030293833 - 9783030293840 ; 11747, s. 242-251
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Konferensbidrag (refereegranskat)abstract
- On-line teaching situations where a tutor and their students are remote from each other mean that contact between them is reduced compared with teaching in a classroom. We report an initial study of two-way gaze sharing between a tutor and a group of students, who were in different locations. A 45-min class consisted of an introductory lecture followed by an exercise in using two software tools, one for building an experiment and the other for analysis of the data collected. The tutor went through an exercise step by step and the students followed. This was run twice with four students on each run. The tutor had a view of the students’ desktops with their gaze markers overlaid and each student had a view of the tutor’s desktop and gaze marker. Students found seeing the tutor’s gaze marker helpful during the exercise but distracting when reading the text on the lecture slides. The tutor found the view of the students’ gaze point helpful as an indicator of their current object of attention when giving assistance to individuals.
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- Winckler, Björn
(författare)
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Renormalization of Lorenz Maps
- 2011
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- This thesis is a study of the renormalization operator on Lorenz αmaps with a critical point. Lorenz maps arise naturally as first-return maps for three-dimensional geometric Lorenz flows. Renormalization is a tool for analyzing the microscopic geometry of dynamical systems undergoing a phase transition. In the first part we develop new tools to study the limit set of renormalization for Lorenz maps whose combinatorics satisfy a long return condition. This combinatorial condition leads to the construction of a relatively compact subset of Lorenz maps which is essentially invariant under renormalization. From here we can deduce topological properties of the limit set (e.g. existence of periodic points of renormalization) as well as measure theoretic properties of infinitely renormalizable maps (e.g. existence of uniquely ergodic Cantor attractors). After this, we show how Martens’ decompositions can be used to study the differentiable structure of the limit set of renormalization. We prove that each point in the limit set has a global two-dimensional unstable manifold which is a graph and that the intersection of an unstable manifold with the domain of renormalization is a Cantor set. All results in this part are stated for arbitrary real critical exponents α> 1. In the second part we give a computer assisted proof of the existence of a hyperbolic fixed point for the renormalization operator on Lorenz maps of the simplest possible nonunimodal combinatorial type. We then show how this can be used to deduce both universality and rigidity for maps with the same combinatorial type as the fixed point. The results in this part are only stated for critical exponenta α= 2.
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- Winckler, Marco, et al.
(författare)
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Dealing with Conflicting User Interface Properties in User-Centered Development Processes
- 2017
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Ingår i: HUMAN-COMPUTER INTERACTION - INTERACT 2017, PT IV. ; , s. 521-523
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Konferensbidrag (refereegranskat)abstract
- Whilst usability has been the most prominent user interface property in early Human-Computer Interaction (HCI) research other properties such as accessibility, inclusive design, user experience and, more recently security, trust and resilience (among many others) might also be important for the development of interactive system. It is interesting to notice that user interface properties might overlap and sometimes create conflicting recommendations. A good example is security which, by recommending users to deal with passwords reduces system usability by placing a burden on users. The ultimate goal of this workshop is to promote the investigation of multiple user interface properties in a user-centered design process. We are concerned by theories, methods and approaches for dealing with multiple user interface properties when developing interactive system. This workshop is organized by the IFIP WG 13.2 on Human-Centered Software Methodologies and the WG 13.5 on Resilience, Reliability, Safety and Human Error in System Development.
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