@article{ConfortiLeonardMurretal.2015, author = {Conforti, Giovanni and Leonard, Christian and Murr, R{\"u}diger and Roelly, Sylvie}, title = {Bridges of Markov counting processes. Reciprocal classes and duality formulas}, series = {Electronic communications in probability}, volume = {20}, journal = {Electronic communications in probability}, publisher = {Univ. of Washington, Mathematics Dep.}, address = {Seattle}, issn = {1083-589X}, doi = {10.1214/ECP.v20-3697}, pages = {12}, year = {2015}, abstract = {Processes sharing the same bridges are said to belong to the same reciprocal class. In this article we analyze reciprocal classes of Markov counting processes by identifying their reciprocal invariants and we characterize them as the set of counting processes satisfying some duality formula.}, language = {en} }