Chaotic correlation functions with complex fermions

We study correlation functions in the complex fermion SYK model. We focus, specifically, on the h=2 mode which explicitly breaks conformal invariance and exhibits the chaotic behaviour. We numerically explore a fermion six-point OTOC, with two and three real-time folds, respectively. While our approach is expected to yield an early-time chaotic growth, we nevertheless observe a near-maximal value. Following the program of Gross-Rosenhaus, we estimate the triple short time limit of the six point function. Unlike the conformal modes with high values of h, the h=2 mode has contact interaction dominating over the planar in the large q limit.

THE CHAOTIC GROWTH MODEL: INTERNATIONAL TOURISM

The basic aims of this paper are: firstly, to create a relatively simple chaotic international tourism expenditure growth model that is capable of generating stable equilibria, cycles, or chaos; and secondly, to set up a relatively simple chaotic international tourism receipts growth model. This paper confirms stable growth of the international tourism receipts and expenditures in high-income countries, low & middle-income countries, lower-middle-income countries, middle-income countries, and upper-middle-income countries in the period 1995-2018.

GOLD PRICE AND THE CHAOTIC GROWTH MODEL

The basic aims of this paper are: firstly, to create the simple chaotic gold price growth model that is capable of generating stable equilibria, cycles, or chaos; secondly, to analyze the local stability of gold price in the period 2001-2015; and thirdly, to discover the equilibrium gold price with Elliott wave logic in the observed period. This paper confirms the existence of the stable convergent fluctuations of the gold price in the observed period. Also, the golden ratio can be used to define the equilibrium gold price in the presented chaotic model.

Flowers

Generally, grape vines produce extraneous shoots (“suckers”) on the plant in addition to those growing beyond the few desired on the cordon wanted for proper vine growth. Generally, again, suckers are less fertile than the primary shoots, they crowd the canopy of the vine, and their growth utilizes resources required for proper growth of the primary shoots. Further, the chaotic growth makes it difficult to manage the harvest. A crowded canopy (as will be discussed subsequently) is not a healthy one for grape growth. As shown in Figures 12.1 and 12.2 and noted earlier, buds (the small part of the vine that lies between the vine’s stem and the leaf stem or petiole) can start alongside the beginning of leaves at the base of the apical meristem. The buds swell and eventually produce shoots. As the shoot grows the flowers appear on a stem from the node, from where leaves have also sprung. That is, grape nodes hold buds that grow into leaves and inflorescences or “clusters of flowers” (i.e., the reproductive portion of a plant) arranged on a smaller stem growing from the node. It is not yet clear, despite recognizing the flow of nutrients and auxins as well as changes in proteins, how, after vernalization (i.e., the ability to flower so that fruit can be set—but only after exposure cold), the plant decides which, leaf or stem bearing flowers, should sprout from the node. The fundamentals of the coming forth of the buds are often outlined as a three-step process. First there is the formation of uncommitted primordia (primordia refer to tissues in their earliest recognizable stages of development) called “anlagen” (from German, in English, “assets” or “facilities”) at the apices of lateral buds. Second, differentiation of anlagen to form inflorescence primordia or tendril primordia occurs. Finally, flowers form from the inflorescence primordia when activated by phytohormones, nutrients, and growth regulators and when the external conditions of light and temperature are correct.

Holography, quantum complexity and quantum chaos in different models

This contribution to Quarks’2018 conference proceedings is based on the talk presenting papers [1, 2] at the conference. These papers are devoted to the holographic description of chaos and quantum complexity in the strongly interacting systems out of equilibrium. In the first part of the talk we present different holographic complexity proposals in out-of-equilibrium CFT following the local perturbation. The second part is devoted to the chaotic growth of the local operator at a finite chemical potential. There are numerous results stating that the chemical potential may lead to the chaos disappearance, and we confirm the results from holography.