Statistical physics Combinatorics

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Statistical physics ?? Combinatorics
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Grid versus Space
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Definition
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Branched polymers in modern science
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Parametrization
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Volume of configuration space, n3,4
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Volume of configuration space, n5
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Results of Brydges and Imbrie
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Invariance principle
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Invariance principle, quantitatively
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Calculating the volume using invariance
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Calculating the volume by taking a limit
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Growing a random 5-polymer from a random 4
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Generalization to graphs
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Polymers in dimension 3
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Distribution of projections on x-axis
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A construction with the same distribution
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Conclusions from the random tree construction
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Spitzers random flight problem
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Spitzers Problem solution.
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Conclusions open questions
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