Toward a mathematical holographic principle

DOI10.1007/s10955-014-1029-4zbMath1347.37004arXiv1404.7455OpenAlexW3102833641MaRDI QIDQ743424

Zhenyang Li, Harald Proppe, Góra, Paweł, Boyarski, Abraham

Publication date: 24 September 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7455

zbMATH Keywords

absolutely continuous invariant measureholographic principlemultivalued functions

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Contents, measures, outer measures, capacities (28A12) Dynamical aspects of measure-preserving transformations (37A05) Generation, random and stochastic difference and differential equations (37H10)

Related Items (1)

Optimal chaotic selectors

Cites Work

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• Harmonic averages and new explicit constants for invariant densities of piecewise expanding maps of the interval
• Continuous selections. I
• Minimalstellen von Funktionen und Extremalpunkte
• Attainable densities for random maps
• Multivalued maps as a tool in modeling and rigorous numerics
• New techniques for the study of stochastic equilibrium processes
• Invariant measures of set-valued maps
• Continuous selections and differential relations
• Absolutely continuous invariant measures for random maps with position dependent probabilities
• Extreme continuous selectors of multivalued maps and their applications
• \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems
• Selections and their absolutely continuous invariant measures
• Invariant Densities for Random Maps of the Interval
• Continuous Selections for Vector Measures
• Discrete and Continuous Bang-Bang and Facial Spaces Or: Look for the Extreme Points
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• STOCHASTIC PERTURBATIONS OF POSITION DEPENDENT RANDOM MAPS
• Position dependent random maps in one and higher dimensions
• Family of piecewise expanding maps having singular measure as a limit of ACIMs
• Existence of Competitive Equilibria in Markets with a Continuum of Traders
• A Property of Extreme Points of Compact Convex Sets
• Set-valued analysis

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