364 citations
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18 papers · 1 filter
Permutations sortable by n-4 passes through a stack
Anders Claesson, Mark Dukes, Einar Steingrimsson
We characterise and enumerate permutations that are sortable by n-4 passes through a stack. We conjecture the number of permutations sortable by n-5 passes, and also the form of a…
Random tree growth by vertex splitting
Francois David, Mark Dukes, Thordur Jonsson +1
We study a model of growing planar tree graphs where in each time step we separate the tree into two components by splitting a vertex and then connect the two pieces by inserting a…
N = 2 world-sheet approach to D-branes on generalized Kaehler geometries: I. General formalism
Alexander Sevrin, Wieland Staessens, Alexander Wijns
We present an N = 2 world-sheet superspace description of D-branes on bihermitian or generalized Kaehler manifolds. To accomplish this, D-branes are considered as boundary conditio…
Symmetric Schroder paths and restricted involutions
Eva Y. P. Deng, Mark Dukes, Toufik Mansour +1
Let be the set of permutations in the symmetric group with prefix 12. This paper concerns the enumeration of involutions which avoid the set of patterns . We prese…
A new continuum limit of matrix models
J. Ambjorn, R. Loll, Y. Watabiki +2
We define a new scaling limit of matrix models which can be related to the method of causal dynamical triangulations (CDT) used when investigating two-dimensional quantum gravity.…
An N=2 worldsheet approach to D-branes in bihermitian geometries: I. Chiral and twisted chiral fields
Alexander Sevrin, Wieland Staessens, Alexander Wijns
We investigate N=(2,2) supersymmetric nonlinear sigma-models in the presence of a boundary. We restrict our attention to the case where the bulk geometry is described by chiral and…