#spinglasses — Public Fediverse posts

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

It is a pleasure to feature Dr. Valentina Ros from the Laboratory of Theoretical Physics and Statistical Models, Orsay, who explores high-dimensional random potentials, inference problems, and associated dynamics, with random matrix theory as a key analytical tool.

📚 Watch Valentina's Nordita talk and engage in discussions with peers and Dr. Ros herself on Enabla: https://enabla.com/pub/1169/about

This is an excellent opportunity to deepen your understanding of high-dimensional systems in statistical physics and inference problems.

#StatisticalPhysics #RandomMatrices #GlassyDynamics #SpinGlasses

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