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Abstract / Description of output
Condensation is the phenomenon whereby one of a sum of random variables contributes a finite fraction to the sum. It is manifested as an aggregation phenomenon in diverse physical systems such as coalescence in granular media, jamming in traffic, and gelation in networks. We show here that the same condensation scenario, which normally happens only if the underlying probability distribution has tails heavier than exponential, can occur for lighttailed distributions in the presence of additional constraints. We demonstrate this phenomenon on the sample variance, whose probability distribution conditioned on the particular value of the sample mean undergoes a phase transition. The transition is manifested by a change in behavior of the large deviation rate function.
Original language  English 

Article number  020602 
Number of pages  5 
Journal  Physical Review Letters 
Volume  112 
Issue number  2 
Early online date  14 Jan 2014 
DOIs  
Publication status  Published  17 Jan 2014 
Keywords / Materials (for Nontextual outputs)
 ZERORANGE PROCESSES
 CONDENSATION
 LARGE DEVIATIONS
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Dive into the research topics of 'ConstraintDriven Condensation in Large Fluctuations of Linear Statistics'. Together they form a unique fingerprint.Projects
 1 Finished

Design Principles for New Soft Materials
Cates, M., Allen, R., Clegg, P., Evans, M., MacPhee, C., Marenduzzo, D. & Poon, W.
7/12/11 → 6/06/17
Project: Research
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Martin Evans
 School of Physics and Astronomy  Personal Chair in Statistical Physics
Person: Academic: Research Active