377 citations · 1.1k across the 17 of their papers we have counts for
17 papers
Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlevé VI distribution
Ivan Dornic, Robert Conte
We determine the full persistence probability distribution for a non-Markovian stochastic process, motivated by first-passage questions arising in interacting spin systems and alli…
Universal Painlevé VI Probability Distribution in Pfaffian Persistence and Gaussian First-Passage Problems with a sech-Kernel
Ivan Dornic
We recast the persistence probability for the spin located at the origin of a half-space arbitrarily -magnetized Glauber-Ising chain as a Fredholm Pfaffian gap probability gener…
Langevin equations for reaction-diffusion processes
F. Benitez, C. Duclut, H. Chaté +3
For reaction-diffusion processes with at most bimolecular reactants, we derive well-behaved, numerically tractable, exact Langevin equations that govern a stochastic variable relat…
Finite scale singularity in the renormalization group flow of a reaction-diffusion system
Damien Gredat, Hugues Chaté, Ivan Dornic +1
We study the nonequilibrium critical behavior of the pair contact process with diffusion (PCPD) by means of nonperturbative functional renormalization group techniques. We show tha…
On an imaginary exponential functional of Brownian motion
D. Gredat, I. Dornic, J. M. Luck
We investigate a random integral which provides a natural example of an imaginary exponential functional of Brownian motion. This functional shows up in the study of the binary ann…
Absorbing states and elastic interfaces in random media: two equivalent descriptions of self-organized criticality
Juan A. Bonachela, H. Chate, I. Dornic +1
We elucidate a long-standing puzzle about the non-equilibrium universality classes describing self-organized criticality in sandpile models. We show that depinning transitions of l…