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Relationships among Various Chaos for Linear Semiflows Indexed with Complex Sectors
MathematicsIn this paper, we investigate the relationships among point transitivity, topological transitivity, Li–Yorke chaos, and the existence of irregular vectors for a linear semiflow {Tt}t∈Δ indexed with a complex sector.
Shengnan He +3 more
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Topological electroweak phase transition
Physics of the Dark UniversePDU ...
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Parry’s topological transitivity and $f$-expansions [PDF]
Proceedings of the American Mathematical Society, 2015 In his 1964 paper on f-expansions, Parry studied piecewise-continuous, piecewise-monotonic maps F of the interval [0,1), and introduced a notion of topological transitivity different from any of the modern definitions. This notion, which we call Parry topological transitivity, (PTT) is that the backward orbit O^-(x)={y:x=F^ny for some n\ge 0} of some x\
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Limit Orders and Knightian Uncertainty
International Economic Review, Volume 67, Issue 1, Page 353-363, February 2026.ABSTRACT A wide variety of financial instruments allows risk‐averse traders to reduce their exposure to risk. This raises the question of what financial instruments allow ambiguity‐averse traders to reduce their exposure to ambiguity. We show in this paper that price‐contingent orders, such as limit orders, are sufficient: In a two‐period trading model,
Michael Greinecker, Christoph Kuzmics
wiley +1 more source
Dynamic Reconfiguration of Functional Topology in Human Brain Networks: From Resting to Task States
Neural Plasticity, 2020 Task demands evoke an intrinsic functional network and flexibly engage multiple distributed networks. However, it is unclear how functional topologies dynamically reconfigure during task performance. Here, we selected the resting- and task-state (emotion
Wenhai Zhang +3 more
doaj +1 more source
Nonemptiness of the Alpha‐Core
Journal of Public Economic Theory, Volume 28, Issue 1, February 2026.ABSTRACT We prove nonemptiness of the α $\alpha $‐core for balanced games with nonordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991b), and Kajii (1992). In particular, we answer an open question in Kajii (1992) regarding the applicability of the nonemptiness ...
V. Filipe Martins‐da‐Rocha +1 more
wiley +1 more source
An Improved Chaotic Motion Path Planner for Autonomous Mobile Robots Based on a Logistic Map
International Journal of Advanced Robotic Systems, 2013 This paper presents a chaotic motion path planner based on a Logistic Map (SCLCP) for an autonomous mobile robot to cover an unknown terrain randomly, namely entirely, unpredictably and evenly.
Caihong Li +4 more
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Scaling theory of topological phase transitions [PDF]
Journal of Physics: Condensed Matter, 2016 6 pages, 3 ...
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The cosymplectic Chern–Hamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source
On the apparent failure of the topological theory of phase transitions
, 2015 The topological theory of phase transitions has its strong point in two theorems proving that, for a wide class of physical systems, phase transitions necessarily stem from topological changes of some submanifolds of configuration space.
Franzosi, Roberto +2 more
core +1 more source