#spinglasses — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #spinglasses, aggregated by home.social.
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New paper: "The Tree and Its Echo" — ultrametric organization from pre-numeric first principles.
Before numbers: marks on a bone. Three primitives: correspondence, order, nesting. Hierarchy without metrics.
The independence assumption is the fallacy. Baseline convergence: similarity is the default, not the exception. Tree = residual. P0 PASSED (p<0.001).
DOI: 10.5281/zenodo.20348370
#Mathematics #Physics #ComplexSystems #SpinGlasses #Ultrametric #Phylogenetics #Science
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New paper: "The Tree and Its Echo" — ultrametric organization from pre-numeric first principles.
Before numbers: marks on a bone. Three primitives: correspondence, order, nesting. Hierarchy without metrics.
The independence assumption is the fallacy. Baseline convergence: similarity is the default, not the exception. Tree = residual. P0 PASSED (p<0.001).
DOI: 10.5281/zenodo.20348370
#Mathematics #Physics #ComplexSystems #SpinGlasses #Ultrametric #Phylogenetics #Science
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Concentration of measures:
Talagrand's "work illustrates the idea that the interplay of many random events can, counter-intuitively, lead to outcomes that are more predictable, and gives estimates for the extent to which the uncertainty is reigned in."Marianne Freiberger: https://plus.maths.org/content/abel-prize-2024 @data @mathematics
#maths #mathematics #Talagrand #data #probability #magnets #spinGlasses #physics
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Concentration of measures:
Talagrand's "work illustrates the idea that the interplay of many random events can, counter-intuitively, lead to outcomes that are more predictable, and gives estimates for the extent to which the uncertainty is reigned in."Marianne Freiberger: https://plus.maths.org/content/abel-prize-2024 @data @mathematics
#maths #mathematics #Talagrand #data #probability #magnets #spinGlasses #physics