Geodesic
Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008).

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We asymptotically analyse the volume random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most limit laws are Gaussian. 
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     author = {Schwerdtfeger, Uwe},
     title = {Volume {Laws} for {Boxed} {Plane} {Partitions} and {Area} {Laws} for {Ferrers} {Diagrams}},
     journal = {Discrete mathematics & theoretical computer science},
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     volume = {DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science},
     year = {2008},
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Schwerdtfeger, Uwe. Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008). doi : 10.46298/dmtcs.3589. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3589/

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