4 papers · 1 filter
Limit of the octahedron recurrence with GUE boundary data
Hariharan Narayanan
We study the tropical octahedron recurrence on the lattice tetrahedron with an intrinsic double-hive boundary law.…
Hives from deformed GUE minor processes
Hariharan Narayanan
We construct random hives from deformed GUE minor processes. Starting from two independent diagonally deformed GUE matrices \[ X=\sqrt{n}(wG+uD),\qquad Y=\sqrt{n}(w'G'+u'D'), \] wh…
On the limit of random hives with GUE boundary conditions
Hariharan Narayanan
We show that hives chosen at random with independent GUE boundary conditions on two sides, weighted by a Vandermonde factor depending on the third side (which is necessary in the c…
A Geometric Interpretation of Half-Plane Capacity
Steven Lalley, Gregory Lawler, Hariharan Narayanan
Let A be a bounded, relatively closed subset of the upper half plane H whose complement C is simply connected. If B_t is a standard complex Brownian motion starting at iy and t_A =…