Publications (23)
An extension of the inductive approach to the lace expansion
Remco van der Hofstad, Mark Holmes, Gordon Slade
Strongly reinforced Pólya urns with graph-based competition
Remco van der Hofstad, Mark Holmes, Alexey Kuznetsov +1
Forward clusters for degenerate random environments
Mark Holmes, Thomas S. Salisbury
The voter model chordal interface in two dimensions
Mark Holmes, Yevhen Mohylevskyy, Charles M. Newman
Speed calculations for random walks in degenerate random environments
Mark Holmes, Thomas S. Salisbury
A combinatorial result with applications to self-interacting random walks
Mark Holmes, Thomas S. Salisbury
Random walks in degenerate random environments
Mark Holmes, Thomas S. Salisbury
Model of the Human Sleep Wake System
Lisa Rogers, Mark Holmes
Monotonicity for excited random walk in high dimensions
Remco van der Hofstad, Mark Holmes
On the speed of once-reinforced biased random walk on trees
Andrea Collevecchio, Mark Holmes, Daniel Kious
On strict monotonicity of the speed for excited random walks in one dimension
Mark Holmes
Extension of the generalised inductive approach to the lace expansion: Full proof
Remco van der Hofstad, Mark Holmes, Gordon Slade
Degenerate random environments
Mark Holmes, Thomas S. Salisbury
On the range of lattice models in high dimensions - extended version
Mark Holmes, Edwin Perkins
Tree models for difference and change detection in a complex environment
Yong Wang, Ilze Ziedins, Mark Holmes +1
Excited against the tide: A random walk with competing drifts
Mark Holmes
Notes on oriented percolation
Mark Holmes, Thomas S. Salisbury
A monotonicity property for random walk in a partially random environment
Mark Holmes, Rongfeng Sun
Nonparametric tests for change-point detection à la Gombay and Horváth
Mark Holmes, Ivan Kojadinovic, Jean-François Quessy
An expansion for self-interacting random walks
Remco van der Hofstad, Mark Holmes
The survival probability and r-point functions in high dimensions
Remco van der Hofstad, Mark Holmes
Weak convergence of measure-valued processes and $r$-point functions
Mark Holmes, Edwin Perkins
Conditions for ballisticity and invariance principle for random walk in non-elliptic random environment
Mark Holmes, Thomas S. Salisbury