A random covering interpretation for the phase transition of the random energy model.
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Publication:1963713
DOI10.1007/BF01025988zbMath1086.82544MaRDI QIDQ1963713
Publication date: 2 February 2000
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (3)
Poisson point processes, cascades, and random coverings of \(R^ n\) ⋮ Thermodynamics for the zero-level set of the Brownian bridge ⋮ Unnamed Item
Cites Work
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- Positive martingales and random measures
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- A mathematical reformulation of Derrida's REM and GREM
- Random-energy model: An exactly solvable model of disordered systems
- The set of real numbers left uncovered by random covering intervals
- Renewal sets and random cutouts
- Covering the line with random intervals
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