Web1. Introduction. Although there is no standard definition of life [1–7], the literature often states that a living system tends to reduce its entropy, defying the second law of thermodynamics to sustain its non-equilibrium (NEQ) existence.However, conforming to the second law of thermodynamics, adjudication between the entropy reduction and augmentation of an … WebFor every ϵ> 0, d> d 0 (ϵ) and n>n 0 (d, ϵ) we present a strongly explicit construction of …

Explicit Expanding Expanders Request PDF - ResearchGate

WebSep 22, 2024 · We prove that bounded-degree expanders with non-negative Ollivier–Ricci curvature do not exist, thereby solving a long-standing open problem suggested by A. Naor and E. Milman and publicized by Y. Ollivier (2010). In fact, this remains true even if we allow for a vanishing proportion of large degrees, large eigenvalues, and negatively-curved … raith fib sem

Sparse expanders have negative curvature SpringerLink

WebExpander definition, a person or thing that expands. See more. Websimple explicit constructions of constant-degree expanders of every size, starting from one constant-size expander. Crucial to our intuition (and simple analysis) of the properties of this graph product is the view of expanders as functions which act as “entropy wave” propagat ors — they transform probability distribu- WebExplicit expanders of every degree and size Noga Alon ∗ Abstract An (n;d; )-graph is a … raith fiennes