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5 papers · 2 filters
Geodesics cross any pattern in first-passage percolation without any moment assumption and with possibly infinite passage times
Antonin Jacquet
In first-passage percolation, one places nonnegative i.i.d. random variables (T(e)) on the edges of Z^d. A geodesic is an optimal path for the passage times T(e). Consider a local…
A functional limit theorem for lattice oscillating random walk
Marc Peigné, Tran Duy Vo
The paper is devoted to an invariance principle for Kemperman's model of oscillating random walk on . This result appears as an extension of the invariance principal th…
Exit time and principal eigenvalue of non-reversible elliptic diffusions
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we analyse the metastability of non-reversible diffusion processes on a bounded domain when admits the d…
The survival probability of a weakly subcritical multitype branching process in iid random environment
M Peigné, C Pham
We study the asymptotic behavior of the probability of non extinction of a weakly subcritical multitype branching process in iid random environments. Under suitable assumptions, th…
A conditioned local limit theorem for non-negative random matrices
M. Peigné, Thi da Cam Pham
Let be the random process on driven by the product of i.i.d. non-negative random matrices and its exit time from . By using the adapted stra…