The paper introduces invariants to describe period-doubling routes to chaos in dynamical systems.
arXiv research
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The study analyzes sharpness dynamics in neural networks, revealing mechanisms and conditions.
Deep linear networks oscillate beyond the edge of stability in a predictable manner.
We analyze the signature type of a cascade of periodic orbits associated to period doubling renormalizable maps of the two dimensional disk. The signature is a sequence of rational numbers which describes how periodic orbits turn each other and is invariant by topological conjugacies that preserve orientation. We prove…
Study on tilings of the plane with two types of tiles of varying areas.
Study on liquidity and market efficiency in auction games with imperfect information.
This paper explores non-periodic folding of Spidron units, revealing nonlinear dynamics.
Periodic Double Auctions (PDAs) are commonly used in the real world for trading, e.g. in stock markets to determine stock opening prices, and energy markets to trade energy in order to balance net demand in smart grids, involving trillions of dollars in the process. A bidder, participating in such PDAs, has to plan for…