Unbounded entanglement production via a dissipative impurity

We investigate the entanglement dynamics in a free-fermion chain initially prepared in a Fermi sea and subjected to localized losses (dissipative impurity). We derive a formula describing the dynamics of the entanglement entropies in the hydrodynamic limit of long times and large intervals. The result depends only on the absorption coefficient of the effective delta potential describing the impurity in the hydrodynamic limit. Genuine dissipation-induced entanglement is certified by the linear growth of the logarithmic negativity. Finally, in the quantum Zeno regime at strong dissipation the entanglement growth is arrested (Zeno entanglement death).

Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities

For an integral functional defined on functions ( u , v ) ∈ W 1 , 1 × L 1 {(u,v)\in W^{1,1}\times L^{1}} featuring a prototypical strong interaction term between u and v, we calculate its relaxation in the space of functions with bounded variations and Radon measures. Interplay between measures and discontinuities brings various additional difficulties, and concentration effects in recovery sequences play a major role for the relaxed functional even if the limit measures are absolutely continuous with respect to the Lebesgue one.

Random matrix theory for complexity growth and black hole interiors

We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and two-dimensional holographic conformal field theories. This is a refined, “microcanonical” version of K-complexity that applies to theories with infinite or continuous spectra (including quantum field theories), and in the holographic theories we study exhibits exponential growth for a scrambling time, followed by linear growth until saturation at a time exponential in the entropy — a behavior that is characteristic of chaos. We show that the linear growth regime implies a universal random matrix description of the operator dynamics after scrambling. Our main tool for establishing this connection is a “complexity renormalization group” framework we develop that allows us to study the effective operator dynamics for different timescales by “integrating out” large K-complexities. In the dual gravity setting, we comment on the empirical match between our version of K-complexity and the maximal volume proposal, and speculate on a connection between the universal random matrix theory dynamics of operator growth after scrambling and the spatial translation symmetry of smooth black hole interiors.

Growth of tench (Tinca tinca L., 1758) (Cyprinidae) in reservoirs of K. Satpayev canal

The reservoirs of the K. Satpayev canal are the important fishery water bodies in the Central Kazakhstan. Some of these reservoirs are inhabited by tench, a fish species relatively widely represented in other water systems of the region. In the reservoirs of the canal this species is not the main commercial one but it has a fairly high commercial value due to its popularity with consumers. As part of the research, the growth indicators of Tinca tinca from 4 reservoirs were evaluated, and the data on its growth from 3 more reservoirs were also provided. These samples differ in efficiency and growth rates. It has been found that there is no sexual or generation variability. Growth rates in successive fish generations strongly correlate with each other, which may indirectly indicate the stability of living conditions. The R. Lee’s phenomenon was not marked. In this regard, the calculation of variables of the von Bertalanffy growth equation was carried out without additional data processing. The highest rates of linear growth were characteristic of Tinca tinca from the reservoir of HS No. 9. However, the effectiveness of its growth scheme was the lowest. Population with a longer age range from the reservoir HS No. 3 did not have high linear growth rates, but its growth efficiency was higher. In this case, it is obvious that any assessment of growth will be relative and depend on the goals set for it. In the reservoirs of the canal there are more or less similar conditions for tench populations living due to the specifics of its functioning. The main limiting factor for the growth rate, in our opinion, will be abundance of the species in the reservoir and related trophic factors with a certain influence of withdrawal (fishing, predators).

Predicting the course of Covid-19 and other epidemic and endemic disease

The Gompertz Function is an accurate model for epidemics from Cholera in 1853 to Spanish Flu in 1918 and Ebola in 2014. It also describes the acute phase of annual outbreaks of endemic influenza and in all of these instances it has significant predictive power. For Covid-19, we show that the Gompertz Function provides accurate forecasts not just for cases and deaths but, independently, for hospitalisations, intensive care admissions and other medical requirements. In particular Gompertz Function projections of healthcare requirements have been reliable enough to allow planning for: hospital admissions,intensive care admissions,ventilator usage, peak loads and duration. Analysis of data from the Spanish Flu pandemic and the endemic influenza cycle reveals alternating periods of Gompertz Function growth and linear growth in cumulative cases or deaths. Linear growth means the Reproduction Number is equal to 1 which in turn indicates endemicity. The same pattern has been observed with Covid-19. All the initial outbreaks ended in linear growth. Each new outbreak has been preceded by a period of linear growth and has ended with a transition from Gompertz Function growth to linear growth. This suggests that each of these outbreak cycles ended with a transition to endemicity for the current dominant strain and that the normal seasonal respiratory virus periods will continue to see new outbreaks. It remains to be seen if widespread vaccination will disrupt this cyclicality. Because both Gompertz Function Growth and linear growth are accurately predictable, the forecasting problem is reduced to identifying the transition between these modes and to improving the performance in the early Gompertz Function growth phase where its predictive power is lowest. The dynamics of the Gompertz Function are determined by the Gumbel probability distribution. This is an exceptional distribution with respect to the geometry determined by the affine group on the line which is the key to the Gumbel distribution's role as an Extreme Value Theory attractor. We show that this, together with the empirically observed asymmetry in epidemic data, makes the Gompertz Function growth essentially inevitable in epidemic models which agree with observations.

Some data on the biology of stone cockscomb Alectrias alectrolophus (Stichaeidae) from the Tauysk Bay of the Sea of Okhotsk

On the basis of the materials collected in the period of 2010–2018 the features of biology: the size-age structure, linear growth pattern and body mass growth of the stone cockscomb Alectrias alectrolophus from the Tauysk Bay, the Sea of Okhotsk, have been studied. In the intertidal zone, in the period from May to September, individuals of this species the body length 31.2–133.4 mm and body weight 0.1–12.8 g at the age of up to 6+ years are found in large quantities. The size and age characteristics, rates of growth of females and males are quite similar, but in general, females are slightly larger than males.

Entanglement dynamics in Rule 54: Exact results and quasiparticle picture

We study the entanglement dynamics generated by quantum quenches in the quantum cellular automaton Rule 54. We consider the evolution from a recently introduced class of solvable initial states. States in this class relax (locally) to a one-parameter family of Gibbs states and the thermalisation dynamics of local observables can be characterised exactly by means of an evolution in space. Here we show that the latter approach also gives access to the entanglement dynamics and derive exact formulas describing the asymptotic linear growth of all Rényi entropies in the thermodynamic limit and their eventual saturation for finite subsystems. While in the case of von Neumann entropy we recover exactly the predictions of the quasiparticle picture, we find no physically meaningful quasiparticle description for other Rényi entropies. Our results apply to both homogeneous and inhomogeneous quenches.

Treatment of Short Stature in Aggrecan Deficient Patients with Recombinant Human Growth Hormone: One-Year Response

Context Patients with aggrecan (ACAN) deficiency present with dominantly inherited short stature, often with advanced skeletal maturation and premature growth cessation. There is a paucity of information on the effects of growth-promoting interventions. Objective The aim of this study was to evaluate the efficacy and safety of recombinant human growth hormone (rhGH) therapy on linear growth in children with ACAN deficiency. Design and Setting Open-label, single-arm, prospective study at Cincinnati Children’s Hospital Medical Center. Patients Ten treatment-naïve patients were recruited. Inclusion criteria were: a confirmed heterozygous mutation in ACAN, age ≥ 2 years, pre-pubertal, bone age (BA) ≥ chronological age (CA), and normal IGF-I concentration. Intervention Treatment with rhGH (50 mcg/kg/day) over one year. Main Outcome Measure(s) Main outcomes measured were height velocity (HV) and change in (Δ) height SD (HtSDS). Results Ten patients (six females) were enrolled with median CA of 5.6 yrs (range 2.4 to 9.7). Baseline median HtSDS was -2.5 (range -4.3 to -1.1). Median baseline BA was 6.9 yrs (range 2.5 to 10.0), with median BA/CA of 1.2 (range 0.9 to 1.5). Median pre-treatment HV was 5.2 cm/y (range 3.8 to 7.1), increased to 8.3 cm/y (range 7.3 to 11.2) after one year of therapy (p=0.004). Median ΔHtSDS after one year was +0.62 (range +0.35 to +1.39) (p=0.002). Skeletal maturation did not advance inappropriately (median Δ BA/CA -0.1, p=0.09). No adverse events related to rhGH were observed. Conclusion Treatment with rhGH improved linear growth in a cohort of patients with short stature due to ACAN deficiency.

Enigmatic brothers’ uniquecorn poised to be a unicorn

Learning outcomes Appendix 1: Comic Frames A At the end of the case study discussion, students will able to as follows: Explain various growth strategies as a potential unicorn with the exponential growth mindset rather than linear growth mindset through adaptation of Massive Transformative Purpose (MTP) and Moonshot Thinking (MT). Demonstrate innovative and creative plans and ideas, with the ability to scale up in the circular economy. Review and summarize the power of Collaborative Innovation (CI). Compare and contrast different ways in dealing with Hedgehog and Fox style of leadership into the business. Appendix 2: Comic Frames B At the end of the case study discussion, students will able to as follows: Act with a growth strategy as a potential unicorn with the exponential growth mindset rather than linear growth mindset through adaptation of MTP and MT. Simulate innovative and creative plans and ideas, with the ability to scale up in the circular economy. Assess and leverage the power of CI. Decide and differentiate in dealing with Hedgehog and Fox style of leadership into the business. Case overview/synopsis Ankit Tripathi, was a compassionate 22-year-old, the typical lad from New Delhi, India, who seemed driven to change the world. His elder brother Atul Tripathi, a young, creative 25-year-old, was sat there next to him, beaming with pride and gratitude. Both brothers, being mechanical engineering graduates, had experienced the advancement of technology at the cost of Mother Earth. It pained them no end. It was the reason that Atul had refused to serve as an engineer in a government institution after graduating. The parents were shocked when Ankit followed suit. The brothers were poles apart in their personality and temperament, and it was rare to see them agree on anything in this way. Yet, they agreed to disagree with their parents and ventured into becoming entrepreneurs with a purpose and passion to salvage the environment. They had a vision, but without a proper roadmap, it would certainly be a tough game. Nevertheless, they boldly embarked upon their journey and established their start-up “Uneako” in 2019. “Uneako” was a calculated risk, taking into account family resistance (parents’ attitude/perception), personal conflicts (psychological), financial limitations (resources), shallow expertise (professionalism), social concern acceptability and low awareness (environment), government regulations (legalities/approvals), conflicts between brothers (personality issues), etc. Being from a nonbusiness family, the brothers had defied the wave of obstacles and challenges in daring to start their own business, putting at stake the hard-earned money of their father, Satendra Tripathi. Amidst so much social mockery, would Atul and Ankit succumb and become a laughing stock or would they find something that they could live and die for? Complexity Academic Level Appendix 1: Comic Frames A: This case has been particularly focused on undergraduate level students pursuing business or commerce programs. Especially those studying core courses, for example, entrepreneurial and strategic management. Appendix 2: Comic Frames B: This case has been particularly focused postgraduate-early stage or higher level students pursuing business or commerce programs. Particularly those specializing in entrepreneurial and strategic management courses. Also, can be taught in the entrepreneurial or start-up workshops. Supplementary materials www.pewresearch.org/topics/generation-z/ Paulynice. J.P., (2019) “From Idea to Reality: An Entrepreneur’s Guide to Meaningful Business Growth” Paulynice Consulting Group. Hardy.D., (2015) “The Entrepreneur Roller Coaster: It’s Your Turn to Join The Ride” Success Publishers. Wadhwa.V., Amla.I., Salkever.A., (2020) “From Incremental to Exponential” Berrett-Koehler Publishers. Sustainable Entrepreneurship: Business Success through Sustainability edited by Christina Weidinger, Franz Fischler, René Schmidpeter, Springer 2014. Teaching notes are available for educators only. Subject code CSS 3: Entrepreneurship.

Most Short Children with Cystic Fibrosis Do Not Catch Up by Adulthood

Poor linear growth is common in children with cystic fibrosis (CF) and predicts pulmonary status and mortality. Growth impairment develops in infancy, prior to pulmonary decline and despite aggressive nutritional measures. We hypothesized that growth restriction during early childhood in CF is associated with reduced adult height. We used the Cystic Fibrosis Foundation (CFF) patient registry to identify CF adults between 2011 and 2015 (ages 18–19 y, n = 3655) and had height for age (HFA) records between ages 2 and 4 y. We found that only 26% CF adults were ≥median HFA and 25% were <10th percentile. Between 2 and 4 years, those with height < 10th percentile had increased odds of being <10th percentile in adulthood compared to children ≥ 10th percentile (OR = 7.7). Of HFA measured between the 10th and 25th percentiles at ages 2–4, 58% were <25th percentile as adults. Only 13% between the 10th and 25th percentile HFA at age 2–4 years were >50th percentile as adults. Maximum height between ages 2 and 4 highly correlated with adult height. These results demonstrate that low early childhood CF height correlates with height in adulthood. Since linear growth correlates with lung growth, identifying both risk factors and interventions for growth failure (nutritional support, confounders of clinical care, and potential endocrine involvement) could lead to improved overall health.