Research interests

(1) Random walks on graphs: transition probabilities estimates and links between the random walk and the geometrical structure of the graph;
(2) Gaussian random fields and entropic repulsion;
(3) Interacting particle systems and their applications as models for biological interactions (birth/death processes, epidemics, population genetics).

Brief curriculum vitæ

A longer curriculum vitæ

Complete pubblication list.

Probability papers (some of the linked versions are older than those published, for an updated version I suggest that you contact the corresponding journal).

D.Bertacchi, F.Zucca,
Equidistribution of random walks on spheres, Journal of Statistical Physics 94 (1999), 91-111.

D.Bertacchi,
Random walks on Diestel-Leader graphs, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 71 (2001), 205--224.

D.Bertacchi, G.Giacomin,
Enhanced interface repulsion from quenched hard-wall randomness, Probability Theory and Related Fields 124 (2002), no. 4, 487--516.

D.Bertacchi, F.Zucca,
Uniform asymptotic estimates of transition probabilities on combs, Journal of the Australian Mathematical Society 75 (2003), 325--353.

D.Bertacchi, G.Giacomin,
On the repulsion of an interface above a correlated substrate. Bulletin of the Brazilian Mathematical Society(NS) 34 (2003), n. 3, 401-415.

D.Bertacchi, F.Zucca,
Classification on the average of random walks, Journal of Statistical Physics 114 (2004), 947--975.

D.Bertacchi, G.Giacomin,
Wall repulsion and mutual interface repulsion: an harmonic crystal model in high dimensions, Stochastic Processes and Applications 110 (2004), 45--66.

D.Bertacchi,
Asymptotic behaviour of the simple random walk on the 2--dimensional comb, Electronic Journal of Probability 45 (2006), 1184-1203.

D.Bertacchi, G.Posta, F.Zucca,
Ecological equilibrium for restrained branching random walks. Annals of Applied Probability 17 (2007), 1117-1137.

D.Bertacchi, F.Zucca,
Critical behaviors and critical values of branching random walks on multigraphs. Journal of Applied Probability 45 (2008).