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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 4, Pages 625–651
DOI: https://doi.org/10.4213/tvp123 (Mi tvp123) 		 
About the number of step functions with restrictions

R. Ahlswedea, V. M. Blinovskiib

a Bielefeld University
b Institute for Information Transmission Problems, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tvp123
Abstract: We obtain an asymptotic formula for the number of scaled step functions with restrictions on the length and height of steps (shapes of Young diagrams) of a given area in the neighborhood of a given curve. This allows us to find the asymptotics of the whole number of such functions and find the limit shape — the curve of concentration of the step functions.
Keywords: large deviations, random walk, Young diagram.
Received: 17.08.2004
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 4, Pages 537–560
DOI: https://doi.org/10.1137/S0040585X97981974
Bibliographic databases:
Language: Russian
Citation: R. Ahlswede, V. M. Blinovskii, “About the number of step functions with restrictions”, Teor. Veroyatnost. i Primenen., 50:4 (2005), 625–651; Theory Probab. Appl., 50:4 (2006), 537–560
Citation in format AMSBIB
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