9 citations · 22 across the 13 of their papers we have counts for
3 papers · 1 filter
Bounding the convergence time of local probabilistic evolution
Simon Apers, Alain Sarlette, Francesco Ticozzi
Isoperimetric inequalities form a very intuitive yet powerful characterization of the connectedness of a state space, that has proven successful in obtaining convergence bounds. Si…
Detecting topological transitions in two dimensions by Hamiltonian evolution
Wei-Wei Zhang, Barry C. Sanders, Simon Apers +2
We show that the evolution of two-component particles governed by a two-dimensional spin-orbit lattice Hamiltonian can reveal transitions between topological phases. A kink in the…
Lifting Markov Chains To Mix Faster: Limits and Opportunities
Simon Apers, Francesco Ticozzi, Alain Sarlette
Lifted Markov chains are Markov chains on graphs with added local "memory" and can be used to mix towards a target distribution faster than their memoryless counterparts. Upper and…