3 citations · 4 across the 4 of their papers we have counts for
4 papers
Classification of diffusion processes in dimension via the Carleman approach with applications to models involving additive, multiplicative or square-root noises
Cecile Monthus
The Carleman approach is well-known in the field of deterministic classical dynamics as a method to replace a finite number of non-linear differential equations by an infinite-…
Markov spin models for image generation : explicit large deviations with respect to the number of pixels
Cecile Monthus
For the discrete-time or the continuous-time Markov spin models for image generation when each pixel can take only two values , the finite-time forward propag…
Convergence properties of Markov models for image generation with applications to spin-flip dynamics and to diffusion processes
Cecile Monthus
In the field of Markov models for image generation, the main idea is to learn how non-trivial images are gradually destroyed by a trivial forward Markov dynamics over the large tim…
Explicit dynamical properties of the Pelikan random map in the chaotic region and at the intermittent critical point towards the non-chaotic region
Cecile Monthus
The Pelikan random trajectories are generated by choosing the chaotic doubling map with probability and the non-chaotic half-contracting…