88 research outputs found

    The Symbolic Dynamics Of Multidimensional Tiling Systems

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    We prove a multidimensional version of the theorem that every shift of finite type has a power that can be realized as the same power of a tiling system. We also show that the set of entropies of tiling systems equals the set of entropies of shifts of finite type

    Cellular automata and Lyapunov exponents

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    In this article we give a new definition of some analog of Lyapunov exponents for cellular automata . Then for a shift ergodic and cellular automaton invariant probability measure we establish an inequality between the entropy of the automaton, the entropy of the shift and the Lyapunov exponent

    On a zero speed sensitive cellular automaton

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    Using an unusual, yet natural invariant measure we show that there exists a sensitive cellular automaton whose perturbations propagate at asymptotically null speed for almost all configurations. More specifically, we prove that Lyapunov Exponents measuring pointwise or average linear speeds of the faster perturbations are equal to zero. We show that this implies the nullity of the measurable entropy. The measure m we consider gives the m-expansiveness property to the automaton. It is constructed with respect to a factor dynamical system based on simple "counter dynamics". As a counterpart, we prove that in the case of positively expansive automata, the perturbations move at positive linear speed over all the configurations

    Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang

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    We prove that a real analytic subset of a torus group that is contained in its image under an expanding endomorphism is a finite union of translates of closed subgroups. This confirms the hyperplane zeros conjecture of Lagarias and Wang for real analytic varieties. Our proof uses real analytic geometry, topological dynamics and Fourier analysis.Comment: 25 page

    Why Does Exercise “Triggerâ€? Adaptive Protective Responses in the Heart?

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    Numerous epidemiological studies suggest that individuals who exercise have decreased cardiac morbidity and mortality. Pre-clinical studies in animal models also find clear cardioprotective phenotypes in animals that exercise, specifically characterized by lower myocardial infarction and arrhythmia. Despite the clear benefits, the underlying cellular and molecular mechanisms that are responsible for exercise preconditioning are not fully understood. In particular, the adaptive signaling events that occur during exercise to “trigger� cardioprotection represent emerging paradigms. In this review, we discuss recent studies that have identified several different factors that appear to initiate exercise preconditioning. We summarize the evidence for and against specific cellular factors in triggering exercise adaptations and identify areas for future study

    The challenge of articulating human rights at an LGBT ‘mega-event’: a personal reflection on Sao Paulo Pride 2017

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    © 2017 Informa UK Limited, trading as Taylor & Francis Group. This paper brings together Critical Event Studies (CES) and a reflexive/narrative autoethnographic approach in order to stimulate a debate around the commodification of public space, and the management of mega-events of dissent. This is achieved using the example of the researcher’s participation in the 2017 Sao Paulo Pride. Sao Paulo Pride is one of the largest LGBT demonstrations in the world. However, corporate interests in the event have commodified dissent in order to commercialise ‘otherness’, and the city has absorbed the demonstration into its cultural offer as a global brand. The confluence of these factors produces a pattern of place dressing and erasure that depoliticise the event and undermines its capacity to effectively articulate human rights. Currently Brazil has some of the most liberal LGBT laws of any South American state, yet recently Lesbian, Gay, Bisexual and Transgender (LGBT)/Sexual Orientation and Gender Identity (SOGI) human rights have been threatened by a rapid rise in hate crime and the emergence of an evangelical Christian right in state and regional assemblies. Within such a context the need to revive the roots of Pride as an articulation of otherness that demands recognition, and as a robust defence of human rights for the LGBT/SOGI community, is more pressing than ever

    A glimpse into Thurston's work

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    We present an overview of some significant results of Thurston and their impact on mathematics. The final version of this paper will appear as Chapter 1 of the book "In the tradition of Thurston: Geometry and topology", edited by K. Ohshika and A. Papadopoulos (Springer, 2020)

    German evidence-based guidelines for the treatment of Psoriasis vulgaris (short version)

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    Psoriasis vulgaris is a common and chronic inflammatory skin disease which has the potential to significantly reduce the quality of life in severely affected patients. The incidence of psoriasis in Western industrialized countries ranges from 1.5 to 2%. Despite the large variety of treatment options available, patient surveys have revealed insufficient satisfaction with the efficacy of available treatments and a high rate of medication non-compliance. To optimize the treatment of psoriasis in Germany, the Deutsche Dermatologische Gesellschaft and the Berufsverband Deutscher Dermatologen (BVDD) have initiated a project to develop evidence-based guidelines for the management of psoriasis. The guidelines focus on induction therapy in cases of mild, moderate, and severe plaque-type psoriasis in adults. The short version of the guidelines reported here consist of a series of therapeutic recommendations that are based on a systematic literature search and subsequent discussion with experts in the field; they have been approved by a team of dermatology experts. In addition to the therapeutic recommendations provided in this short version, the full version of the guidelines includes information on contraindications, adverse events, drug interactions, practicality, and costs as well as detailed information on how best to apply the treatments described (for full version, please see Nast et al., JDDG, Suppl 2:S1–S126, 2006; or http://www.psoriasis-leitlinie.de)

    The State of Neuro-Oncology During the COVID-19 Pandemic: A Worldwide Assessment

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    To assess the impact of the pandemic on the field, we performed an international web-based survey of practitioners, scientists, and trainees from 21 neuro-oncology organizations across 6 continents from April 24 through May 17. Of 582 respondents, 258 (45%) were in the US, and 314 (55%) were international. 80.4% were affiliated with academic institutions. 94% respondents reported changes in clinical practice; 95% reported conversion to telemedicine for at least some appointments. However, almost 10% practitioners felt the need to see patients in person specifically because of billing concerns and perceived institutional pressure. Over 50% believed neuro-oncology patients were at increased risk of contracting COVID-19. 67% practitioners suspended enrollment for at least one clinical trial: 53% suspended phase II and 62% suspended phase III trial enrollment. 71% clinicians feared for their or their families’ safety, specifically because of their clinical duties. 20% percent said they did not have enough PPE to work safely; about the same percentage were unhappy with their institutions’ response to the pandemic. 43% believed the pandemic would negatively affect their academic career, and 52% fellowship program directors were worried about losing funding for their training programs. While 69% respondents reported increased stress, 44% were offered no psychosocial support. 37% had their salary reduced. 36% researchers had to temporarily close their laboratories. In contrast, the pandemic created positive changes in perceived patient and family satisfaction, quality of communication, and use of technology to deliver care and interactions with other practitioners. CONCLUSIONS: The pandemic has altered standard treatment schedules and limited investigational treatment options for patients. In some cases, clinicians felt institutional pressure to continue conducting billable in-person visits when telemedicine visits would have sufficed. A lack of institutional support created anxiety among clinicians and researchers. We make specific recommendations to guide clinical and scientific infrastructure moving forward
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