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On the Partial Connection Between Random Matrices and Interacting Particle Systems

✍ Scribed by Patrik L. Ferrari; René Frings


Publisher
Springer
Year
2010
Tongue
English
Weight
667 KB
Volume
141
Category
Article
ISSN
0022-4715

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On the connection between Hamiltonian ma
✍ Karl Oelschläger 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 564 KB

We consider certain Hamiltonian systems with many particles interacting through a potential whose range is large in comparison with the typical distance between neighbouring particles. It is shown that the empirical processes of the positions and the velocities respectively converge to solutions of