Random skew plane partitions with a piecewise periodic back wall

Physics – Mathematical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

24 pages. This version to appear in Annales Henri Poincare

Scientific paper

Random skew plane partitions of large size distributed according to an appropriately scaled Schur process develop limit shapes. In the present work we consider the limit of large random skew plane partitions where the inner boundary approaches a piecewise linear curve with non-lattice slopes, describing the limit shape and the local fluctuations in various regions. This analysis is fairly similar to that in [OR2], but we do find some new behavior. For instance, the boundary of the limit shape is now a single smooth (not algebraic) curve, whereas the boundary in [OR2] is singular. We also observe the bead process introduced in [B] appearing in the asymptotics at the top of the limit shape.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Random skew plane partitions with a piecewise periodic back wall does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Random skew plane partitions with a piecewise periodic back wall, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random skew plane partitions with a piecewise periodic back wall will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-62209

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.