Itamar Procaccia

This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages)

This

poorly sourced must be removed immediately from the article and its talk page, especially if potentially libelous.
Find sources: "Itamar Procaccia" – news · newspapers · books · scholar · JSTOR (July 2017) (Learn how and when to remove this template message

)

This biography of a living person relies on a single source. You can help by adding reliable sources to this article. Contentious material about living people that is unsourced or poorly sourced must be removed immediately. (July 2021) (Learn how and when to remove this template message)

(Learn how and when to remove this template message)

Itamar Procaccia
Weizmann Institute

Itamar Procaccia ((

nonlinear dynamics, soft matter, and turbulence

Procaccia studied chemistry at the

Hebrew University in Jerusalem with and obtained a bachelor's degree in 1973 and obtained a doctorate in theoretical chemistry in 1976. From 1977 to 1979, he was a postdoctoral fellow at the Massachusetts Institute of Technology

. Since 1979 he has been at the Weizmann Institute, where he became a professor in 1985.

With Peter Grassberger, he introduced the correlation dimension as a measure of fractal dimension in 1983 (often referred to as the Grassberger–Procaccia algorithm).^[1]

He has held guest appointments at the

the University of Chicago

, among others.

He is a fellow of the

EPS Statistical and Nonlinear Physics Prize

Selected publications

Peter Grassberger, Itamar Procaccia Measuring the Strangeness of Strange Attractors, Physica D, 9, (1983), 189–208
Peter Grassberger, Itamar Procaccia Characterization of strange attractors, Physical Review Letters, 50, (1983), 346–349
Thomas C. Halsey, Mogens H. Jensen, Leo P. Kadanoff, Itamar Procaccia, and Boris I. Shraiman "Fractal measures and their singularities: The characterization of strange sets", Physics A, 33 1141 (1986)

References

^ Grassberger Grassberger-Procaccia Algorithmus, Scholarpedia

External links

Itamar Procaccia's home page at the Weizmann Institute

Chaos theory

Concepts

Core	Attractor Bifurcation Fractal Limit set Lyapunov exponent Orbit Periodic point Phase space
Anosov diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting dimension Correlation dimension Conservative system Ergodicity False nearest neighbors Hausdorff dimension Invariant measure Lyapunov stability Measure-preserving dynamical system Mixing Poincaré section Recurrence plot SRB measure Stable manifold Topological conjugacy
Theorems	Ergodic theorem Liouville's theorem Krylov–Bogolyubov theorem Poincaré–Bendixson theorem Poincaré recurrence theorem Stable manifold theorem Takens's theorem

Theoretical
branches

Chaotic
maps (list)

Discrete	Arnold's cat map Baker's map Complex quadratic map Coupled map lattice Duffing map Dyadic transformation Dynamical billiards outer Exponential map Gauss map Gingerbreadman map Hénon map Horseshoe map Ikeda map Interval exchange map Irrational rotation Kaplan–Yorke map Langton's ant Logistic map Standard map Tent map Tinkerbell map Zaslavskii map
Continuous	Double scroll attractor Duffing equation Lorenz system Lotka–Volterra equations Mackey–Glass equations Rabinovich–Fabrikant equations Rössler attractor Three-body problem Van der Pol oscillator

Physical
systems

Chaos
theorists

Authority control databases
International	VIAF
National	Israel
Academics	Leopoldina MathSciNet Mathematics Genealogy Project Scopus zbMATH