23 citations · 29 across the 4 of their papers we have counts for
4 papers
Beyond Whittle: exact finite-time multispectral statistics from a single Brownian trajectory in a harmonic trap
Isaac Pérez Castillo, François Leyvraz, Miguel Eduardo Gómez Quintanar +1
Power spectral densities are often interpreted through ensemble averages and long-time asymptotics. In many experiments, however, only a single finite record is available, so spect…
Qualitative properties of systems of 2 complex homogeneous ODE's: a connection to polygonal billiards
Francois Leyvraz
A correspondence between the orbits of a system of 2 complex, homogeneous, polynomial ordinary differential equations with real coefficients and those of a polygonal billiard is di…
Competitive nucleation and the Ostwald rule in a generalized Potts model with multiple metastable phases
David P. Sanders, Hernán Larralde, François Leyvraz
We introduce a simple nearest-neighbor spin model with multiple metastable phases, the number and decay pathways of which are explicitly controlled by the parameters of the system.…
Metastability in Markov processes
Hernan Larralde, Francois Leyvraz, David P. Sanders
We present a formalism to describe slowly decaying systems in the context of finite Markov chains obeying detailed balance. We show that phase space can be partitioned into approxi…