7 citations · 26 across the 47 of their papers we have counts for
5 papers · 1 filter
An electric-resistance approach to return time
Greg Markowsky
A new proof is given for the formula for the expected return time of a random walk on a graph. This proof makes use of known relationships between electric resistance and random wa…
Projecting the distribution of planar Browian motion at a stopping time through an analytic function
Greg Markowsky
A method is given of deriving the distribution of planar Brownian motion evaluated at certain stopping times using analytic functions. This method relies upon a generalization of t…
On the planar Brownian Green's function for stopping times
Greg Markowsky
It has been known for some time that the Green's function of a planar domain can be defined in terms of the exit time of Brownian motion, and this definition has been extended to s…
Symmetry in the Green's function for birth-death chains
Greg Markowsky, José Luis Palacios
A symmetric relation in the probabilistic Green's function for birth-death chains is explored. Two proofs are given, each of which makes use of the known symmetry of the Green's fu…
Sum rules for effective resistances in infinite graphs
Greg Markowsky, José Luis Palacios
Extending work of Foster, Doyle, and others, we show how the Foster Theorems, a family of results concerning effective resistances on finite graphs, can in certain cases be extende…