Add to ORKGIt has been shown that the last passage time in certain symmetrized models of directed percolation can be written in terms of averages over random matrices from the classical groups U(l), Sp(2l) and O(l). We present a theory of such results based on non-intersecting lattice paths, and integration techniques familiar from the theory of random matrices. Detailed derivations of probabilities relating to two further symmetrizations are also given
The dependence of the universality class on the statistical weight of unrestricted random paths is e...
In this thesis, we study the large deviations for two related probabilistic models: the last-passage...
In this paper we consider an equilibrium last-passage percolation model on an environment given by a...
It has been shown that the last passage time in certain symmetrized models of directed percolation c...
This paper studies a number of matrix models of size n and the associated Markov chains for the eige...
Last passage percolation (LPP) refers to a broad class of models thought to lie within the Kardar-Pa...
AbstractWe study directed last-passage percolation on the planar square lattice whose weights have g...
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common d...
This paper proves an equality in law between the invariant measure of a reflected system of Brownian...
honors thesisCollege of ScienceMathematicsTom AlbertsWe study the linear algebra of the last passage...
We consider the first passage percolation model on Z2. In this model, we assign independently to eac...
Last passage percolation models are fundamental examples in statistical mechanics where the energy o...
In this dissertation we investigate three different problems related to (1) concentration inequalit...
Available at my website or arXive Two probabilistic models • Non-intersecting random walks (Dyson’s ...
The thesis provides the discussion of three last passage percolation models. In particular, we focus...
The dependence of the universality class on the statistical weight of unrestricted random paths is e...
In this thesis, we study the large deviations for two related probabilistic models: the last-passage...
In this paper we consider an equilibrium last-passage percolation model on an environment given by a...
It has been shown that the last passage time in certain symmetrized models of directed percolation c...
This paper studies a number of matrix models of size n and the associated Markov chains for the eige...
Last passage percolation (LPP) refers to a broad class of models thought to lie within the Kardar-Pa...
AbstractWe study directed last-passage percolation on the planar square lattice whose weights have g...
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common d...
This paper proves an equality in law between the invariant measure of a reflected system of Brownian...
honors thesisCollege of ScienceMathematicsTom AlbertsWe study the linear algebra of the last passage...
We consider the first passage percolation model on Z2. In this model, we assign independently to eac...
Last passage percolation models are fundamental examples in statistical mechanics where the energy o...
In this dissertation we investigate three different problems related to (1) concentration inequalit...
Available at my website or arXive Two probabilistic models • Non-intersecting random walks (Dyson’s ...
The thesis provides the discussion of three last passage percolation models. In particular, we focus...
The dependence of the universality class on the statistical weight of unrestricted random paths is e...
In this thesis, we study the large deviations for two related probabilistic models: the last-passage...
In this paper we consider an equilibrium last-passage percolation model on an environment given by a...